International Journal of Robust and Nonlinear Control最新文献

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Data-Driven Dynamic Event-Triggered Load Frequency Control for Multi-Area Interconnected Power Systems With Random Delays 具有随机延迟的多区域互联电力系统数据驱动动态事件触发负荷频率控制
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-02-03 DOI: 10.1002/rnc.7847
Yuhao Chen, Huarong Zhao, Li Peng, Hongnian Yu
{"title":"Data-Driven Dynamic Event-Triggered Load Frequency Control for Multi-Area Interconnected Power Systems With Random Delays","authors":"Yuhao Chen,&nbsp;Huarong Zhao,&nbsp;Li Peng,&nbsp;Hongnian Yu","doi":"10.1002/rnc.7847","DOIUrl":"https://doi.org/10.1002/rnc.7847","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper investigates a load frequency control issue for multi-area interconnected unknown power systems with random communication delays. First, a model-free adaptive control scheme is established by building an equivalent data-relationship model between the area control error and corresponding control input. Then, a dynamic event-triggered scheme is designed to improve resource utilization and reduce computational burden. Furthermore, random communication delays in the feedback and forward channels are considered. The results show that the proposed method is independent of any model information about the power system, only using the controlled system's control input and output data. Several simulation results validate the effectiveness of the proposed control scheme.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3358-3369"},"PeriodicalIF":3.2,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822110","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
Observer-Based Practically Prescribed-Time Attitude Control for Flexible Spacecraft 基于观测器的柔性航天器实际定时姿态控制
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-02-02 DOI: 10.1002/rnc.7849
Zhi Li, Ying Zhang, Ai-Guo Wu
{"title":"Observer-Based Practically Prescribed-Time Attitude Control for Flexible Spacecraft","authors":"Zhi Li,&nbsp;Ying Zhang,&nbsp;Ai-Guo Wu","doi":"10.1002/rnc.7849","DOIUrl":"https://doi.org/10.1002/rnc.7849","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, the practically prescribed-time attitude stabilization problem for flexible spacecraft with unknown disturbances is investigated. By designing an extended modal observer, the flexible vibrations and disturbances are compensated. Compared with some existing results on the flexible modal observers, an appealing feature in the current design is that the estimation errors of flexible vibrations converge faster. To establish the practically prescribed-time control scheme, a state-scaling transformation is introduced by time-varying functions. Additionally, with the aid of the presented observer and an adaptive law, the attitude achieves practically prescribed-time stability. At last, numerical simulations are presented to show the effectiveness of the proposed control method.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3370-3382"},"PeriodicalIF":3.2,"publicationDate":"2025-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822103","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 Detection Observer Design for Nonlinear Steering Control Systems of Unmanned Surface Vehicles 无人水面车辆非线性转向控制系统故障检测观测器设计
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-02-02 DOI: 10.1002/rnc.7837
Xiao-Lei Wang, Li-Ying Hao, Qinghua Yang, Yu-Long Wang
{"title":"Fault Detection Observer Design for Nonlinear Steering Control Systems of Unmanned Surface Vehicles","authors":"Xiao-Lei Wang,&nbsp;Li-Ying Hao,&nbsp;Qinghua Yang,&nbsp;Yu-Long Wang","doi":"10.1002/rnc.7837","DOIUrl":"https://doi.org/10.1002/rnc.7837","url":null,"abstract":"<div>\u0000 \u0000 <p>This article studies the design of fault detection (FD) observers for nonlinear steering control (NSC) systems of unmanned surface vehicles (USVs) with steering machine faults. The considered NSC systems of USVs are characterized by discrete-time T-S fuzzy models with immeasurable states. First, a new fuzzy FD observer is constructed to handle the challenge caused by the introduction of membership functions (MFs) that are different from the ones in the system, in which the MFs in the FD are designed by scaling and biasing those of the T-S model. Different from the existing uncertainty restrictions between the MFs in the systems and those in the observers, the deterministic restrictions are constructed, and the MFs of the observer are directly constructed according to the ones of the system without calculation. Then, by employing Lyapunov function (LF), it is proved that the constructed FD observers can ensure the stability and desired performance of the systems. Finally, an NSC system model of USVs is given to verify the effectiveness of the presented technical solution.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3231-3239"},"PeriodicalIF":3.2,"publicationDate":"2025-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822105","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
Delay Margin Analysis of Uncertain Linear Control Systems Using Probabilistic μ $$ mu $$ 使用概率μ $$ mu $$ 对不确定线性控制系统进行延迟裕度分析
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-01-31 DOI: 10.1002/rnc.7780
F. Somers, C. Roos, J.-M. Biannic, F. Sanfedino, V. Preda, S. Bennani, H. Evain
{"title":"Delay Margin Analysis of Uncertain Linear Control Systems Using Probabilistic \u0000 \u0000 \u0000 μ\u0000 \u0000 $$ mu $$","authors":"F. Somers,&nbsp;C. Roos,&nbsp;J.-M. Biannic,&nbsp;F. Sanfedino,&nbsp;V. Preda,&nbsp;S. Bennani,&nbsp;H. Evain","doi":"10.1002/rnc.7780","DOIUrl":"https://doi.org/10.1002/rnc.7780","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;Monte Carlo simulations have long been a widely used method in the industry for control system validation. They provide an accurate probability measure for sufficiently frequent phenomena but are often time-consuming and may fail to detect very rare events. Conversely, deterministic techniques such as &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mu $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; or IQC-based analysis allow fast calculation of worst-case stability margins and performance levels, but in the absence of a probabilistic framework, a control system may be invalidated on the basis of extremely rare events. Probabilistic &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mu $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-analysis has therefore been studied since the 1990s to bridge this analysis gap by focusing on rare but nonetheless possible situations that may threaten system integrity. The solution adopted in this paper implements a branch-and-bound algorithm to explore the whole uncertainty domain by dividing it into smaller and smaller subsets. At each step, sufficient conditions involving &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mu $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; upper bound computations are used to check whether a given requirement–related to the delay margin in the present case–is satisfied or violated on the whole considered subset. Guaranteed bounds on the exact probability of delay margin satisfaction or violation are then obtained, based on the probability distributions of the uncertain parameters. The difficulty here arises from the exponential term &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;e&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mi&gt;τ&lt;/mi&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {e}^{-tau s} $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; classically used to represent a delay &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;τ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ tau $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, which cannot be directly translated into the Linear Fractional Representation (LFR) framework imposed by &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;μ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mu $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-analysis. Two differen","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 6","pages":"2101-2118"},"PeriodicalIF":3.2,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143582080","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
Dynamic Event-Triggered Fixed-Time Coordinated Control of Nonlinear Multi-Agent Systems With General Directed Topologies 具有通用定向拓扑的非线性多代理系统的动态事件触发固定时间协调控制
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-01-31 DOI: 10.1002/rnc.7839
Yaping Xia, Weicheng Kuang, Haodong Li
{"title":"Dynamic Event-Triggered Fixed-Time Coordinated Control of Nonlinear Multi-Agent Systems With General Directed Topologies","authors":"Yaping Xia,&nbsp;Weicheng Kuang,&nbsp;Haodong Li","doi":"10.1002/rnc.7839","DOIUrl":"https://doi.org/10.1002/rnc.7839","url":null,"abstract":"<div>\u0000 \u0000 <p>This study extends the dynamic event-triggered fixed-time consensus results of nonlinear multi-agent systems (NMASs) from undirected graphs to general directed graphs. Three novel distributed dynamic event-triggered control (ETC) protocols are proposed. Instead of a constant, a dynamic threshold is introduced in the triggering function. The proposed controllers, along with their triggering conditions, can ensure fewer trigger times and controller updates, resulting in lower energy consumption. To avoid continuous communication between agents, a new triggering mechanism is further proposed in this paper. Furthermore, it is shown that the triggered time sequence does not exhibit Zeno behavior. Finally, the effectiveness of the proposed dynamic ETC mechanism is verified by three examples.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3256-3269"},"PeriodicalIF":3.2,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822290","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
Secure Observer-Assisted Fuzzy Tracking Control for Non-Linear Networked Systems With Event- and Protocol-Based Communication 基于事件和协议通信的非线性网络系统的安全观测器辅助模糊跟踪控制
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-01-30 DOI: 10.1002/rnc.7828
Yan Li, Ding Zhu, Lijuan Zha, Jinliang Liu, Engang Tian
{"title":"Secure Observer-Assisted Fuzzy Tracking Control for Non-Linear Networked Systems With Event- and Protocol-Based Communication","authors":"Yan Li,&nbsp;Ding Zhu,&nbsp;Lijuan Zha,&nbsp;Jinliang Liu,&nbsp;Engang Tian","doi":"10.1002/rnc.7828","DOIUrl":"https://doi.org/10.1002/rnc.7828","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, the secure observer-assisted Takagi-Sugeno (T-S) fuzzy tracking control issue for non-linear networked control systems (NCSs) with communication constraints is comprehensively investigated. Firstly, to deal with the limited network bandwidth, a novel two-stage data transmission scheme (TS-DTS), which employs an adaptive event-triggered mechanism (AETM) and round robin (RR) protocol, is proposed to effectively reduce bandwidth pressure as well as to avoid potential data collision. Meanwhile, considering the frequent occurrence of cyber attacks in a networked environment, deception attack that seriously threats the data integrity is particularly concerned and elaborately modeled. Then, an augmented T-S fuzzy system is constructed based on designing the framework of the observer-assisted tracking controller in aid of solving the considered problem. Subsequently, the observer and controller gains are devised with the analysis of sufficient conditions for the stability and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math> tracking control performance of the established system. A simulation example is finally conducted to verify the availability of the proposed T-S fuzzy tracking control approach.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3128-3140"},"PeriodicalIF":3.2,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822331","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
Distributed Finite-Time Extended Dissipative Filtering and Event-Triggered Strategy for Nonlinear Systems Over Sensor Networks With Two-Channel Stochastic Attacks 双通道随机攻击下传感器网络非线性系统的分布式有限时间扩展耗散滤波和事件触发策略
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-01-29 DOI: 10.1002/rnc.7851
Xin Zhou, Guici Chen, Song Zhu, Xiao-Heng Chang, Mouquan Shen
{"title":"Distributed Finite-Time Extended Dissipative Filtering and Event-Triggered Strategy for Nonlinear Systems Over Sensor Networks With Two-Channel Stochastic Attacks","authors":"Xin Zhou,&nbsp;Guici Chen,&nbsp;Song Zhu,&nbsp;Xiao-Heng Chang,&nbsp;Mouquan Shen","doi":"10.1002/rnc.7851","DOIUrl":"https://doi.org/10.1002/rnc.7851","url":null,"abstract":"<div>\u0000 \u0000 <p>This study delves into the distributed finite-time extended dissipative filtering problem and event-triggered strategy for nonlinear systems over sensor networks with two-channel stochastic deception attacks. A new distributed filter is proposed, which simultaneously addresses the event-triggered strategy and two-channel attack scenario. Here, the event-triggered strategy is devised in a distributed manner, and the deception attack model following the Bernoulli distribution is established. Additionally, the finite-time extended dissipative index is considered to resolve the finite-time distributed <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math>, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>L</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 <mo>−</mo>\u0000 <msub>\u0000 <mrow>\u0000 <mi>L</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {L}_2-{L}_{infty } $$</annotation>\u0000 </semantics></math>, passive, and dissipative filtering problem within a unified framework. Sufficient conditions are derived to ensure stochastically finite-time extended dissipation for filtering error systems through stochastic analysis and iterative methods. Finally, the numerical simulation example is provided to validate the theoretical results.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3393-3408"},"PeriodicalIF":3.2,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822259","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
Source Seeking With a Nonholonomic Vehicle in Static and Dynamic Spatial Fields 静态和动态空间场中非完整飞行器的寻源
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-01-28 DOI: 10.1002/rnc.7836
Chiara Mellucci, Prathyush P. Menon, Christopher Edwards
{"title":"Source Seeking With a Nonholonomic Vehicle in Static and Dynamic Spatial Fields","authors":"Chiara Mellucci,&nbsp;Prathyush P. Menon,&nbsp;Christopher Edwards","doi":"10.1002/rnc.7836","DOIUrl":"https://doi.org/10.1002/rnc.7836","url":null,"abstract":"<p>In this paper, a novel source seeking strategy is presented. A single autonomous vehicle is modeled as a kinematic unicycle moving in two-dimensional space within a spatial field. The proposed control scheme allows the vehicle to reach a neighborhood of the source of the spatial field in finite time. In this work, the spatial field can be static, translating or dynamically evolving. The control strategy, based on the definition of a reference trajectory and on a second order sliding mode extremum seeking approach, exploits only a point measurement at the vehicle position, and does not require knowledge or an estimate of the spatial gradient of the phenomenon of interest. Explicit bounds on the reference trajectory parameters are introduced in order to guarantee finite time convergence to a neighborhood of the source. The approach is tested in simulation on static and dynamic spatial fields.</p>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3222-3230"},"PeriodicalIF":3.2,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/rnc.7836","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Novel Logarithmic Sliding Mode Control of Chaos in Seventh-Order Power Systems 七阶电力系统混沌的新型对数滑模控制
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-01-27 DOI: 10.1002/rnc.7850
Qian Cao, Du Qu Wei
{"title":"Novel Logarithmic Sliding Mode Control of Chaos in Seventh-Order Power Systems","authors":"Qian Cao,&nbsp;Du Qu Wei","doi":"10.1002/rnc.7850","DOIUrl":"https://doi.org/10.1002/rnc.7850","url":null,"abstract":"<div>\u0000 \u0000 <p>In seventh-order power systems, chaotic oscillations can significantly compromise system stability, arising from intricate interactions among system parameters and initial conditions. This study introduces a robust chaos control strategy tailored for such high-dimensional systems. The approach begins by integrating a dynamic model of an energy storage device, specifically designed to absorb surplus active power, thereby constructing a controlled ninth-order power system with coupled dynamics. To further enhance stability and rapid response, we propose a novel logarithmic sliding mode control (LSMC) surface. This innovation incorporates natural logarithms to achieve a high-gain effect at the equilibrium points of the reduced-order sliding mode system, facilitating rapid re-stabilization of the power system. Additionally, we employ the super-twisting algorithm to address the inherent chattering issues associated with traditional sliding mode control. Theoretical analyses and simulation experiments validate the effectiveness of our proposed method, demonstrating its capability to swiftly restore system stability.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3383-3392"},"PeriodicalIF":3.2,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822196","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 Second-Order Discrete Linear Switching Systems: The Case of All Subsystems With Eigenvalue Modulus > 1 $$ >1 $$ Under State-Dependent Switching 二阶离散线性切换系统的稳定性:状态依赖切换下特征值模数为> 1 $$ >1 $$的所有子系统的情况
IF 3.2 3区 计算机科学
International Journal of Robust and Nonlinear Control Pub Date : 2025-01-27 DOI: 10.1002/rnc.7845
Xiaoqing Xie, Yusheng Zhou
{"title":"Stability of Second-Order Discrete Linear Switching Systems: The Case of All Subsystems With Eigenvalue Modulus \u0000 \u0000 \u0000 >\u0000 1\u0000 \u0000 $$ >1 $$\u0000 Under State-Dependent Switching","authors":"Xiaoqing Xie,&nbsp;Yusheng Zhou","doi":"10.1002/rnc.7845","DOIUrl":"https://doi.org/10.1002/rnc.7845","url":null,"abstract":"<div>\u0000 \u0000 <p>This article investigates the asymptotic stability of discrete-time switching systems in which the modulus of all subsystem eigenvalues are greater than one. The study begins by constructing an energy function with practical physical meaning for each discrete-time subsystem. Specifically, a standard linear discrete system is derived by discretizing a single-degree-of-freedom vibratory model, with its energy function defined as the sum of the model's kinetic and potential energies. An invertible transform is then applied to convert a general linear discrete system into standard form, enabling the construction of a general energy function based on that of a standard one. Since the construction of subsystem energy functions depends on the choice of invertible transform, which is not unique, the resulting energy functions for different subsystems under distinct transforms cannot be directly compared. To address this issue, an intermediate subsystem is introduced to define a relative energy ratio function between two subsystems. Using this relative energy ratio function, a state-dependent switching rule is developed to maximize energy loss within a switch circuit, thereby achieving rapid asymptotic stability of the discrete switching system. Finally, numerical examples are provided to validate the effectiveness of the proposed method.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 8","pages":"3329-3344"},"PeriodicalIF":3.2,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143822197","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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