European Journal of Control最新文献

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Non-stationary control of Markov jump systems subject to general transition probabilities and intermittent measurements 一般跃迁概率和间歇测量下马尔可夫跳变系统的非平稳控制
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-09-01 Epub Date: 2026-08-27 DOI: 10.1016/j.ejcon.2026.101629
Yaonan Shan, Mingxiu Zhang, Jun Cheng, Tingting Tian, Shiyu Dong
{"title":"Non-stationary control of Markov jump systems subject to general transition probabilities and intermittent measurements","authors":"Yaonan Shan,&nbsp;Mingxiu Zhang,&nbsp;Jun Cheng,&nbsp;Tingting Tian,&nbsp;Shiyu Dong","doi":"10.1016/j.ejcon.2026.101629","DOIUrl":"10.1016/j.ejcon.2026.101629","url":null,"abstract":"<div><div>This article presents a design methodology for non-stationary dissipative controllers applicable to Markov jump systems (MJSs) operating under multiple time-varying delays. A key contribution of this work is the use of distinct mode-dependent (MD) structures for the controlled system and the controller, governed by a stationary Markov chain <em>τ</em>(<em>k</em>) and a non-stationary Markov chain <em>σ</em>(<em>k</em>), respectively. A novel feature of this study is its account for general transition probabilities (GTPs) in two distinct Markov chains, where the probabilities are not fully known, which constitutes a significant extension of existing frameworks. Furthermore, our model of the MJSs fully incorporates multiple mode-dependent (MD) time-varying delays, denoted as <em>d</em><sub>1<em>τ</em>(<em>k</em>)</sub>(<em>k</em>), <em>d</em><sub>2<em>τ</em>(<em>k</em>)</sub>(<em>k</em>), and <em>d</em><sub>3<em>σ</em>(<em>k</em>)</sub>(<em>k</em>). Leveraging Lyapunov stability theory and stochastic analysis, we obtain a sufficient condition that guarantees both the stochastic stability of the resulting closed-loop MJSs and a prescribed <span><math><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>S</mi><mo>,</mo><mi>R</mi><mo>)</mo><mo>−</mo><mi>γ</mi><mo>−</mo></mrow></math></span>dissipative performance level. Finally, the feasibility and validation of the presented control strategy are demonstrated via two numerical examples.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"91 ","pages":"Article 101629"},"PeriodicalIF":2.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148940420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fault-tolerant sampled-data control for multi-UAV rendezvous under combined actuator-sensor faults and random packet losses 执行器-传感器组合故障和随机丢包情况下多无人机交会容错采样数据控制
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-09-01 Epub Date: 2026-08-26 DOI: 10.1016/j.ejcon.2026.101630
Soundararajan Vimal Kumar, Jonghoek Kim, T. Saravanakumar
{"title":"Fault-tolerant sampled-data control for multi-UAV rendezvous under combined actuator-sensor faults and random packet losses","authors":"Soundararajan Vimal Kumar,&nbsp;Jonghoek Kim,&nbsp;T. Saravanakumar","doi":"10.1016/j.ejcon.2026.101630","DOIUrl":"10.1016/j.ejcon.2026.101630","url":null,"abstract":"<div><div>This paper investigates the rendezvous problems of leader-following and leaderless consensus for multiple unmanned aerial vehicle (UAV) systems under a sampled-data approach. In contrast to existing sampled-data fault-tolerant control approaches that typically address actuator faults, sensor faults, or packet losses separately, the proposed method handles combined actuator and sensor faults together with random packet losses in the communication network. An <em>H</em><sub>∞</sub> sampled-data-based FTC scheme is systematically developed to enhance robustness against disturbances and network-induced uncertainties. By constructing a refined Lyapunov–Krasovskii functional and employing Wirtinger-based integral inequalities along with Kronecker product theory, less conservative stability conditions are derived. Furthermore, an explicit relationship between sampling intervals and network-induced delays is established, providing improved feasibility compared to closely related sampled-data consensus results. The proposed approach guarantees both leader-following and leaderless rendezvous while effectively compensating for multiple fault types and stochastic packet losses within a unified approach. The effectiveness and reduced conservatism of the developed method are demonstrated through three comprehensive numerical examples.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"91 ","pages":"Article 101630"},"PeriodicalIF":2.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148854287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Active fault-tolerant control of liquid-transport overhead cranes using a multi-objective constrained LMI-integrated sliding surface controller 基于多目标约束lmi集成滑动面控制器的液体输送桥式起重机主动容错控制
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-09-01 Epub Date: 2026-08-25 DOI: 10.1016/j.ejcon.2026.101627
Toan-Phat Dinh, Danh-Huy Nguyen, Tung-Lam Nguyen, Thi-Van-Anh Nguyen
{"title":"Active fault-tolerant control of liquid-transport overhead cranes using a multi-objective constrained LMI-integrated sliding surface controller","authors":"Toan-Phat Dinh,&nbsp;Danh-Huy Nguyen,&nbsp;Tung-Lam Nguyen,&nbsp;Thi-Van-Anh Nguyen","doi":"10.1016/j.ejcon.2026.101627","DOIUrl":"10.1016/j.ejcon.2026.101627","url":null,"abstract":"<div><div>This paper presents a comprehensive framework for robust control and active fault-tolerant operation of overhead crane systems transporting liquid payloads under nonlinear dynamics, external disturbances, and actuator faults. A novel dynamic modeling approach is developed that explicitly incorporates the coupled hook-container dynamics and nonlinear liquid sloshing effects, providing a realistic representation of the flexible coupling and energy exchange mechanisms inherent in practical crane operations. To address the challenges of vibration suppression and precise positioning under harsh operating conditions, a Multi-Objective Constrained Linear Matrix Inequality-Integrated Sliding Surface Controller (MO-Constrained LMI-ISSC) is proposed. The controller systematically integrates <em>H</em><sub>∞</sub> disturbance attenuation, decay rate constraints for transient regulation, and explicit input-output constraints within a unified sliding mode control framework, ensuring robust performance while satisfying physical and safety requirements. Furthermore, an active fault-tolerant control scheme is established by integrating a Full-Order Fault Estimation Observer (FFEO) designed using frequency-domain-dependent <em>H</em><sub>∞</sub> performance criteria based on the generalized Kalman-Yakubovich-Popov (KYP) lemma. This observer-based approach enables simultaneous actuator fault reconstruction and disturbance attenuation with reduced conservatism compared to conventional full-band designs. The estimated fault information is utilized for online compensation, enhancing system reliability and operational safety under faulty conditions. Simulation results demonstrate the effectiveness of the proposed integrated framework in achieving improved precise positioning, vibration suppression, and fault tolerance in safety-critical liquid transportation applications.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"91 ","pages":"Article 101627"},"PeriodicalIF":2.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148940422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Accumulation-based event-triggered distributed fusion filter for nonlinear systems with uncertain probability of missing measurements 测量缺失概率不确定非线性系统的基于累积的事件触发分布式融合滤波器
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-09-01 Epub Date: 2026-08-25 DOI: 10.1016/j.ejcon.2026.101625
Zhibin Hu, Tana Guo
{"title":"Accumulation-based event-triggered distributed fusion filter for nonlinear systems with uncertain probability of missing measurements","authors":"Zhibin Hu,&nbsp;Tana Guo","doi":"10.1016/j.ejcon.2026.101625","DOIUrl":"10.1016/j.ejcon.2026.101625","url":null,"abstract":"<div><div>This paper discusses the distributed fusion filtering (DFF) problem for a type of discrete-time nonlinear systems subject to missing measurements with uncertain probabilities and accumulation-based event-triggered scheme (ETS). The missing measurements are taken into account in system and missing probabilities are considered with uncertain probabilities, better reflecting the reality scene. In addition, the accumulation-based ETS is introduced to enhance system performance while maintaining robustness against signal fluctuations. For the addressed DFF issue, the main goal of this paper is to derive a fusion filter in accordance with the inverse covariance intersection fusion rule. Specifically, the local filter is designed and filtering error (FE) covariance derived. Furthermore, the upper bound of the local FE covariance can be obtained and minimized by selecting the appropriate filter gain. In addition, the boundedness of the filtering performance is analyzed. Finally, two numerical examples are used to demonstrate the usefulness of the proposed DFF approach.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"91 ","pages":"Article 101625"},"PeriodicalIF":2.6,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148940424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Data-driven integral parameterized predictive control with disturbance compensation for space combination attitude takeover after capture 捕获后空间组合姿态接管的数据驱动积分参数化扰动补偿预测控制
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-05-01 Epub Date: 2026-02-02 DOI: 10.1016/j.ejcon.2026.101468
Bicheng Cai , Peiji Wang , Chengfei Yue , Yunhai Geng , Yong Zhao
{"title":"Data-driven integral parameterized predictive control with disturbance compensation for space combination attitude takeover after capture","authors":"Bicheng Cai ,&nbsp;Peiji Wang ,&nbsp;Chengfei Yue ,&nbsp;Yunhai Geng ,&nbsp;Yong Zhao","doi":"10.1016/j.ejcon.2026.101468","DOIUrl":"10.1016/j.ejcon.2026.101468","url":null,"abstract":"<div><div>This paper proposes an online Data-driven Integral Parameterized Predictive Control with Disturbance Compensation (DIP<sup>2</sup>C-DC) method to stabilize the attitude takeover system of a space combination after non-cooperative target capture. The combination is affected by systematic disturbances, and its dynamics parameters are unknown. The proposed DIP<sup>2</sup>C-DC consists of a Unified System Identification (USI) method and an Integral Parameterized Predictive Control (IP<sup>2</sup>C) method. The USI extends the Least Squares (LS) identification framework using Koopman operators, to address the challenges posed by the nonlinear nature of the attitude system and its exposure to systematic disturbances. The IP<sup>2</sup>C parameterizes the control input increment and calculates the control input by solving a Quadratic Programming (QP) problem, to reduce the degree of control input chattering caused by identification errors. The estimated disturbance is also considered in the cost function, providing the disturbance rejection ability. Simulations validate the effectiveness of DIP<sup>2</sup>C-DC.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"89 ","pages":"Article 101468"},"PeriodicalIF":2.6,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of multiplexed NCS based on an epsilon-greedy algorithm for communication selection 基于贪心通信选择算法的多路NCS稳定性研究
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-03-01 Epub Date: 2025-12-25 DOI: 10.1016/j.ejcon.2025.101440
Harsh Oza , Irinel-Constantin Morărescu , Vineeth S. Varma , Ravi Banavar
{"title":"Stability of multiplexed NCS based on an epsilon-greedy algorithm for communication selection","authors":"Harsh Oza ,&nbsp;Irinel-Constantin Morărescu ,&nbsp;Vineeth S. Varma ,&nbsp;Ravi Banavar","doi":"10.1016/j.ejcon.2025.101440","DOIUrl":"10.1016/j.ejcon.2025.101440","url":null,"abstract":"<div><div>In this article, we study a Networked Control System (NCS) with multiplexed communication and Bernoulli packet drops. Multiplexed communication refers to the constraint that transmission of a control signal and an observation signal cannot occur simultaneously due to the limited bandwidth. First, we propose an ε-greedy algorithm for the selection of the communication sequence that also ensures Mean Square Stability (MSS). We formulate the system as a Markovian Jump Linear System (MJLS) and provide the necessary conditions for MSS in terms of Linear Matrix Inequalities (LMIs) that need to be satisfied for three corner cases. We prove that the system is MSS for any convex combination of these three corner cases. We validate our approach with a numerical example that shows the effectiveness of our method.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101440"},"PeriodicalIF":2.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145908889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An improved model-free approach for PMSM drive with multi-parameter mismatch and external disturbances 多参数失配和外部干扰下永磁同步电机驱动的改进无模型方法
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-03-01 Epub Date: 2026-02-03 DOI: 10.1016/j.ejcon.2026.101469
Gang Huang , Yuhan Zhang , Jinhua She , Xinyi Shi , Mingcan Zhang , Bolong Liu
{"title":"An improved model-free approach for PMSM drive with multi-parameter mismatch and external disturbances","authors":"Gang Huang ,&nbsp;Yuhan Zhang ,&nbsp;Jinhua She ,&nbsp;Xinyi Shi ,&nbsp;Mingcan Zhang ,&nbsp;Bolong Liu","doi":"10.1016/j.ejcon.2026.101469","DOIUrl":"10.1016/j.ejcon.2026.101469","url":null,"abstract":"<div><div>Permanent magnet synchronous motor (PMSM) drive system is widely used in various industrial fields. However, parameter mismatches and multiple load torque disturbances inevitably reduce the tracking accuracy of the system. This paper presents a model-free finite-time sliding-mode robust control approach with a hybrid cascaded extended state observer (HCESO) for a PMSM drive system. An ultra-local model of the system speed loop is first constructed. Then, a model-free finite-time sliding-mode controller (MFFTSMC) is designed. Moreover, a HCESO is developed to decompose the lumped disturbance into main and residual components without requiring complex computations, then estimates them separately using observers with distinct characteristics. Compared to the existing single-observer disturbance rejection architectures, this design preserves algorithmic simplicity while reducing the estimation burden on individual observers. By estimating and compensating for residual disturbances, it significantly enhances the accuracy of lumped disturbance estimation. This improves the system’s robustness and control accuracy under severe operating conditions. The closed-loop stability is rigorously proven in the uniformly ultimately bounded stability (UUBS) sense through Lyapunov analysis. Finally, simulation and experiment verify the validity of the method by in comparison with other methods under multiple external disturbances and composite parameter mismatches.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101469"},"PeriodicalIF":2.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Command shaping control with robustness and smoothness adjustability for time-variant systems 时变系统鲁棒光滑可调命令整形控制
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-03-01 Epub Date: 2026-02-06 DOI: 10.1016/j.ejcon.2026.101471
Abdullah Alshaya
{"title":"Command shaping control with robustness and smoothness adjustability for time-variant systems","authors":"Abdullah Alshaya","doi":"10.1016/j.ejcon.2026.101471","DOIUrl":"10.1016/j.ejcon.2026.101471","url":null,"abstract":"<div><div>A new command-shaping technique for vibration control is proposed to command a time-variant system from a known initial state to a predefined target state without inducing residual vibration and independently of the time-varying system parameters. Shaped commands based on equally-spaced steps, monomial functions, and Fourier basis are constructed to satisfy predefined system constraints and input targets while accommodating the parameter variations during the maneuver. Unlike classical input shapers with fixed duration, the proposed method features an adjustable maneuver time that enables a balance between motion speed and transient vibration reduction. The shaped commands are obtained by solving simultaneous linear equations without the need for optimization. The proposed formulations are compared with robust classical shapers and validated numerically and experimentally on a pendulum system with linear and nonlinear hoisting/lowering maneuvers. The added time penalty associated with using smooth robust shaped inputs is negligible relative to the significant reduction in transient vibrations, the complete suppression of residual vibrations, and the improved robustness under parameter uncertainties.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101471"},"PeriodicalIF":2.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Robust unknown input estimation for a mecanum-wheels omnidirectional mobile robot modeled as a convex qLPV system 基于凸qLPV系统的机械轮式全向移动机器人鲁棒未知输入估计
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-03-01 Epub Date: 2026-01-29 DOI: 10.1016/j.ejcon.2026.101466
Moises Luna , Pedro Gasga , Samuel Gómez-Peñate , Guillermo Valencia-Palomo , Gloria-Lilia Osorio-Gordillo
{"title":"Robust unknown input estimation for a mecanum-wheels omnidirectional mobile robot modeled as a convex qLPV system","authors":"Moises Luna ,&nbsp;Pedro Gasga ,&nbsp;Samuel Gómez-Peñate ,&nbsp;Guillermo Valencia-Palomo ,&nbsp;Gloria-Lilia Osorio-Gordillo","doi":"10.1016/j.ejcon.2026.101466","DOIUrl":"10.1016/j.ejcon.2026.101466","url":null,"abstract":"<div><div>Unknown inputs are common in mecanum-wheeled omnidirectional mobile robots (MWOMRs). They can manifest as a fault due to loss of efficiency in the actuators, disturbances, or model uncertainty due to wheel slipping. Therefore, this paper proposes a novel methodology for robust estimation of model uncertainty and actuator faults. This methodology is applied to the dynamic nonlinear model of the MWOMR, which is represented by a convex quasi-linear parameter varying (qLPV) system using the sector nonlinearity modeling approach. On the other hand, coupled actuators present in MWOMRs directly affect fault estimation. To address this issue, the efficiency loss can be isolated using an incidence table. Additionally, the problem is transformed into obtaining an augmented descriptor system that enables the design of a convex qLPV unknown input observer capable of effectively estimating the augmented state vector. To address robustness against disturbances and sensor noise, a <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> performance criterion is considered. The stability condition is established using a candidate Lyapunov function, which provides sufficient conditions expressed in linear matrix inequalities (LMIs). Finally, the results are evaluated through simulations to demonstrate the efficacy of the proposed methodology.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101466"},"PeriodicalIF":2.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On optimal fixed time stability: Its application in secure communication using sliding mode control 最优定时稳定性:滑模控制在保密通信中的应用
IF 2.6 3区 计算机科学
European Journal of Control Pub Date : 2026-03-01 Epub Date: 2026-02-03 DOI: 10.1016/j.ejcon.2026.101467
Rajesh Kushwah, Arnab Mapui, Santwana Mukhopadhyay
{"title":"On optimal fixed time stability: Its application in secure communication using sliding mode control","authors":"Rajesh Kushwah,&nbsp;Arnab Mapui,&nbsp;Santwana Mukhopadhyay","doi":"10.1016/j.ejcon.2026.101467","DOIUrl":"10.1016/j.ejcon.2026.101467","url":null,"abstract":"<div><div>One of the main contributions of the present article is to provide some sufficient conditions for fixed-time stability (<em>FX<sub>T</sub>S</em>) of nonlinear dynamical systems and the superiority of the proposed conditions over several such conditions already available in the literature. In this respect, a theorem on <em>FX<sub>T</sub>S</em> is established, and an estimation of the settling time is provided. Furthermore, additional generalized forms are investigated to improve the application of the proposed results. The present results are further applied to a secure communication system to achieve fixed-time synchronization of master-slave system. In secure communication, to prevent data loss or distortion of the transmitted message, it is essential to effectively reject disturbances and uncertainties. In order to address this issue and achieve robust synchronization in the presence of channel noise, a sliding mode control scheme is developed in the present work. The proposed <span><math><mi>SMC</mi></math></span> not only guarantees that the synchronization error converges to zero in fixed time but also provides strong disturbance rejection capability. In this respect, some non-singular terminal sliding surfaces <span><math><mrow><mo>(</mo><mi>NSTSS</mi><mo>)</mo></mrow></math></span> and corresponding controllers are designed. At last, some numerical simulations are provided to verify the theoretical results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"88 ","pages":"Article 101467"},"PeriodicalIF":2.6,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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