{"title":"Optimized Backstepping Fault-Tolerant Control for a Class of Nonlinear Strict-Feedback Systems Subjected to Sensor Faults","authors":"Mengyao Yu, Lixia Liu, Guoxing Wen","doi":"10.1002/rnc.70673","DOIUrl":"https://doi.org/10.1002/rnc.70673","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper proposes a fault-tolerant optimized backstepping (OB) control scheme for a class of nonlinear strict-feedback systems with sensor faults. For optimizing entire backstepping control, OB strategy needs to implement the reinforcement learning (RL) algorithm at every backstepping step. However, because of the presence of sensor bias faults, the RL training can only receive the damaged state information. To solve this problem, an adaptive algorithm of estimating the unknown bias parameters is integrated into RL. To make the integration smoothly, the RL is derived from a simple positive function that is equivalent to the Hamilton-Jacobi-Bellman (HJB) equation, and thus it can significantly mitigate the complexity of RL training algorithm. Finally, the effectiveness of the proposed control method is verified through Lyapunov stability analysis and simulation experiment.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 17","pages":"7596-7608"},"PeriodicalIF":3.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149177620","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}
{"title":"Adaptive Prescribed-Time Control for Nonlinear Systems With Triggered States","authors":"Liuliu Zhang, Xinxin Fang, Cheng Qian, Changchun Hua","doi":"10.1002/rnc.70675","DOIUrl":"https://doi.org/10.1002/rnc.70675","url":null,"abstract":"<div>\u0000 \u0000 <p>The problem of adaptive prescribed-time control for a class of nonlinear systems with uncertain parameters is studied under the condition of state-triggered transmission. The intermittent state feedback mechanism leads to discontinuous states, which generates the problem about non-differentiable virtual control signals. For this challenge, by introducing a prescribed-time dynamic surface control (DSC), a novel adaptive prescribed-time control strategy is presented. Also, a new event trigger condition is constructed to compensate for the triggering error. Based on the triggering mechanism and controller, the semi-global stabilization can be guaranteed within a specified time, irrespective of the initial conditions or other designed parameters. The effectiveness of the proposed method is validated by theoretical analysis and numerical simulation.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 17","pages":"7717-7726"},"PeriodicalIF":3.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149177704","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}
Penghong Lu, Zhenpeng Lao, Jiarui Zhang, Peng Wei, Gang Chen
{"title":"Optimization-Free Safety and Task Execution for High-Order Multi-Agent Systems via STL-Guided Auxiliary Reference Governor","authors":"Penghong Lu, Zhenpeng Lao, Jiarui Zhang, Peng Wei, Gang Chen","doi":"10.1002/rnc.70679","DOIUrl":"https://doi.org/10.1002/rnc.70679","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper presents an optimization-free control framework for high-order multi-agent systems that ensures both safety and task execution under Signal Temporal Logic specifications. The proposed approach integrates STL predicates into a dynamic auxiliary reference governor structure, enabling the transformation of high-relative-degree safety constraints into tractable first-order control barrier function formulations. A dynamic safety margin and navigation field are designed to guide each agent toward its STL goals while respecting actuation limits and avoiding dynamic obstacles. Unlike conventional high-order CBF or quadratic programs-based controllers, our method yields closed-form control laws. This approach effectively overcomes the computational bottlenecks associated with online optimization, thereby significantly improving scalability and ensuring real-time performance for high-order multi-agent systems. The framework supports decentralized execution, allowing agents to operate independently with guaranteed safety and task satisfaction in dynamic, shared environments. Simulation results validate the effectiveness and efficiency of the proposed control scheme in comparison to existing methods.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 17","pages":"7652-7664"},"PeriodicalIF":3.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149177132","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}
{"title":"Data-Driven Control of Discrete-Time Two-Dimensional Systems With Noisy Data","authors":"Rongni Yang, Runmin Yang, Renjie Ma, Wei Xing Zheng","doi":"10.1002/rnc.70685","DOIUrl":"https://doi.org/10.1002/rnc.70685","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper considers the stabilization issue of unknown two-dimensional (2-D) Fornasini–Marchesini (FM) systems with noisy data. Note that existing results on 2-D systems require accurate system models, which are almost impossible to be obtained in practice. Within this context, a robust data-based control strategy for unknown 2-D FM systems is put forward herein. First, based on the data collection of 2-D input and state measurements, the data-based representation is established for a set of 2-D FM systems consistent with these sampled data, leading to the purpose of stabilizing such a set of data-consistent 2-D dynamics with robustness. Then, the noisy data embedded in the set of data-consistent 2-D dynamics is expressed by virtue of a matrix ellipsoid, which motivates the potential of applying Petersen's lemma to cope with the noise impacts in the closed loop. Next, data-driven sufficient conditions on ensuring the stability of 2-D FM systems are developed, and the feasibility of such convex programming leads to the control strategy synthesis with data informativity. Finally, the effectiveness and applicability of the developed data-based 2-D control scheme are verified by the case study of the Darboux equation.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 17","pages":"7708-7716"},"PeriodicalIF":3.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149177488","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}
{"title":"Nonfragile Observer-Based Tracking Control for Unmanned Surface Vessels in Discrete-Time Complex Dynamics With Time-Delay and Markovian Switching","authors":"Xinyuan Long, Hua Chen, Jinhai Zheng, Jisheng Zhang, Mi-An Xue, Yun Chen","doi":"10.1002/rnc.70671","DOIUrl":"https://doi.org/10.1002/rnc.70671","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, a nonfragile observer-based control strategy is provided, which addresses the dual challenges of networked unmanned surface vessels (USVs) systems with time-delay and Markovian switching under discrete-time complex dynamic environments. First, to model the system accurately, the underactuated USV model is converted into a cascade form that is discretized using Euler's discretization method, establishing the system equation and effectively decoupling the complex nonlinear interactions. Furthermore, considering disturbances such as wind, waves, currents, time delays and random switching mechanisms, a state-space framework of the Takagi-Sugeno (T-S) fuzzy dynamics plant with Markovian switching is presented comprehensively. In addition, the observer is designed and nonfragile observer-based controller is provided to theoretically guarantee that the closed-loop system is globally, asymptotically mean-square stable via rigorous Lyapunov-based analysis and linear matrix inequalities (LMIs). Lastly, numerical validations are carried out, and the comparative assessments demonstrate that the proposed method achieves superior tracking accuracy and robustness compared to traditional controllers.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 17","pages":"7609-7626"},"PeriodicalIF":3.1,"publicationDate":"2026-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149177640","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}
{"title":"Tracking Control for Affine Nonlinear Systems: A Non-Zero-Sum Game Approach With Incomplete Discount Factors","authors":"Gonghe Li, Xiaomin Liu, Linna Zhou, Chunyu Yang","doi":"10.1002/rnc.70650","DOIUrl":"https://doi.org/10.1002/rnc.70650","url":null,"abstract":"<div>\u0000 \u0000 <p>In optimal tracking control problems for affine nonlinear systems, the nonzero steady-state control input often leads to an unbounded infinite-horizon cost function, which makes it difficult to achieve asymptotic convergence of tracking errors. This paper reformulates the non-zero-sum game framework of the tracking control problem and proposes a control method utilizing incomplete discount factors, achieving asymptotic convergence of the tracking error for affine nonlinear systems with respect to any bounded reference trajectory. The cost functions corresponding to the steady-state and transient components are constructed to meet the control objectives while simultaneously seeking a Nash equilibrium solution. The actor-critic structure approximates each participant and their respective cost function independently. Coupled Hamilton-Jacobi (HJ) equations are addressed using input-output data without explicit system models, and the least squares method updates neural networks (NNs) weights concurrently. Simulation results demonstrate that this approach achieves reduced tracking errors compared to traditional methods that use a discount factor.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 16","pages":"7379-7391"},"PeriodicalIF":3.1,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149100227","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}
{"title":"Modeling and Prediction of Nonlinear Dynamic System Models by Deep Neural Networks and Koopman-Based Subspace Identification","authors":"Zixiang Yuan, Jie Ding, Dezhi Shen, Min Xiao","doi":"10.1002/rnc.70658","DOIUrl":"https://doi.org/10.1002/rnc.70658","url":null,"abstract":"<div>\u0000 \u0000 <p>Traditional methods for modelling nonlinear dynamic systems often suffer from high computational complexity and limited prediction accuracy. To address these challenges, this paper proposes a novel Koopman operator-based framework that integrates deep neural networks with subspace identification. The core idea of the framework is to decouple the overall modeling task by assigning distinct roles to its components: the deep neural network is dedicated to learning the nonlinear lifting map, while subspace identification handles the linear dynamic evolution in the lifted space. This approach improves computational efficiency while preserving model interpretability. Comparative experiments on both weakly nonlinear and strongly nonlinear systems show that the proposed method achieves high modeling accuracy with significantly reduced errors. Further theoretical stability analysis and validation under parameter perturbations confirm the reliability of the proposed approach, offering an effective and robust solution for nonlinear system modeling.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 16","pages":"7529-7544"},"PeriodicalIF":3.1,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149100200","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}
Arthur Scolari Fagundes, João Manoel Gomes da Silva Jr., Sophie Tarbouriech
{"title":"Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled-Data Lur'e Systems","authors":"Arthur Scolari Fagundes, João Manoel Gomes da Silva Jr., Sophie Tarbouriech","doi":"10.1002/rnc.70600","DOIUrl":"https://doi.org/10.1002/rnc.70600","url":null,"abstract":"<p>This article addresses the synthesis of stabilizing control laws for aperiodic sampled-data Lur'e systems. Based on a hybrid system representation of the closed-loop system and a timer-dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two instances of Finsler's lemma. To overcome the nonconvexity of these conditions, the controller parameters are obtained from an iterative procedure with guaranteed feasible solutions at each iteration. Controller gains are computed with the goal of maximizing the intersampling interval or the sector where the nonlinearity lies, while ensuring that the origin of the closed-loop system is globally asymptotically stable.</p>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 16","pages":"7450-7463"},"PeriodicalIF":3.1,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/rnc.70600","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149100163","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}
{"title":"Zero-Order-Hold-Triggered Gain Scheduling Control of Nonlinear Time-Varying Systems With Exogenous Signals","authors":"Min-Seok Kwak, Ho-Lim Choi","doi":"10.1002/rnc.70663","DOIUrl":"https://doi.org/10.1002/rnc.70663","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we investigate a zero-order-hold (ZOH) triggered gain scheduling controller for a class of nonlinear time-varying systems, where exogenous signals are employed as scheduling variables. Due to the ZOH mechanism, the proposed controller is updated intermittently, which offers the advantage of reducing communication resources and computational burden. Rigorous stability analysis of the resulting closed-loop system is carried out using both Lyapunov and Razumikhin theories. As a result, sufficient conditions on the radius of the domain of operation and the ultimate bound of the system states are derived as explicit functions of the interexecution time. The novelty and effectiveness of the proposed approach are clearly demonstrated by various results and comparisons in numerical and practical examples.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 16","pages":"7515-7528"},"PeriodicalIF":3.1,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149100080","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}
Han Li, Qingsheng Yang, Xi-Sheng Zhan, Lingli Cheng, Bo Wu
{"title":"Observer-Based Dynamic Event-Triggered Control for Cyber-Physical Systems Subject to Multi-Channel Hybrid Cyber-Attacks","authors":"Han Li, Qingsheng Yang, Xi-Sheng Zhan, Lingli Cheng, Bo Wu","doi":"10.1002/rnc.70643","DOIUrl":"https://doi.org/10.1002/rnc.70643","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper focuses on the dynamic event-triggered mechanism (DETM) of the Cyber-Physical-Systems (CPSs) under multi-channel hybrid cyber-attacks based on the observer. The hybrid cyber-attack in this article contains Denial of Service (DoS) attacks, deception attacks, and replay attacks, which do not affect each other and attack the network channel. By constructing DETM, Lyapunov equation and linear matrix inequality (LMI), the system maintains the <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> performance of suppressing external disturbances and the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_2 $$</annotation>\u0000 </semantics></math> performance of constraining output energy. In the case where the system status is difficult to observe directly, an observer is introduced to estimate the system status. Finally, the effectiveness of the above method is verified by a simulation example.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 16","pages":"7368-7378"},"PeriodicalIF":3.1,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149100223","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}