{"title":"Identification for Precision Mechatronics: An Auxiliary Model-Based Hierarchical Refined Instrumental Variable Algorithm","authors":"Chen Zhang, Yang Liu, Kaixin Liu, Fazhi Song","doi":"10.1002/rnc.7960","DOIUrl":"https://doi.org/10.1002/rnc.7960","url":null,"abstract":"<div>\u0000 \u0000 <p>When the physical properties of mechanical systems align with the structure of the model, the continuous-time (CT) systems can be effectively represented by an interpretable and parsimonious additive formal models. This article addresses the parameter estimation challenges of additive CT autoregressive moving average (ACTARMA) systems. Based on the maximum likelihood principle, the optimality conditions for the proposed identification algorithms are formulated for ACTARMA systems. Additionally, an auxiliary model-based hierarchical refined instrumental variable (AM-HRIV) iterative algorithm and an AM-HRIV recursive algorithm are developed by means of the hierarchical identification principle and the auxiliary model identification idea. These algorithms establish a pseudo-linear regression relationship involving optimal prefilters derived from a unified autoregressive moving average model. The effectiveness of the proposed methods is demonstrated by numerical simulation, and the performance of AM-HRIV iterative method in identifying modal representations is verified by experimental data.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 12","pages":"5026-5042"},"PeriodicalIF":3.2,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144624481","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":"Linear Quadratic Optimal Control Problems for Conditional Mean-Field Stochastic Differential Equations Under Partial Information","authors":"Siqi Feng, Guangchen Wang, Hua Xiao, Zhuangzhuang Xing, Huanjun Zhang","doi":"10.1002/rnc.7927","DOIUrl":"https://doi.org/10.1002/rnc.7927","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper centers on a kind of linear quadratic stochastic optimal control problem driven by conditional mean-field stochastic differential equations under partial information. In this context, the cost functional is permitted to be indefinite. At the outset, we present a broad overview of optimal control with the aid of the adjoint equation. However, the Hamiltonian system poses a challenge as it incorporates two distinct conditional expectations, making decoupling unattainable. To tackle this, we extract and analyze three representative cases derived from practical problems, discussing each case separately. We find that, in any case, the uniform convexity of the cost functional ensures the existence of a unique optimal control with a state feedback form for the problem, which is a weaker assumption compared to the standard one. Finally, we apply the obtained results to address specific issues raised in the initial motivations of this paper. These applications demonstrate the practical relevance and effectiveness of our theoretical findings in addressing real-world challenges in the field of stochastic optimal control.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 11","pages":"4597-4623"},"PeriodicalIF":3.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144299890","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":"Finite-Time Adaptive Tracking Control for a Class of Stochastic Pure-Feedback Nonlinear Systems With Unknown Disturbances","authors":"Yu Shao, Rongjie Liu, Shihua Li, Shengyuan Xu","doi":"10.1002/rnc.7947","DOIUrl":"https://doi.org/10.1002/rnc.7947","url":null,"abstract":"<div>\u0000 \u0000 <p>This article first gives an improved practical finite-time stability criterion for stochastic nonlinear systems, which offers a new idea for providing a faster convergence time. This criterion is generalized to more general stochastic nonlinear systems whose states may contain uncertainties, moreover, to the condition of Lyapunov functions including both powers less than 1 and greater than or equal to 1, which guarantees a faster convergence time while dealing with uncertainties. However, the introduction of a positive small parameter brings great difficulties to prove the provided criterion. Then, a series of new adaptive laws and controllers are devised for a class of stochastic pure-feedback nonlinear systems with disturbances to confirm the proposed criterion. It is shown that the presented scheme allows a fast convergence time, and in the meantime can handle uncertain disturbances including internal disturbance and external disturbance.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 11","pages":"4857-4868"},"PeriodicalIF":3.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144299889","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":"Practical Stability to a Part of the Variables for Riemann-Liouville Fractional Stochastic Differential Equations","authors":"Haihan Yang, Tingting Feng, Jing Cui","doi":"10.1002/rnc.7959","DOIUrl":"https://doi.org/10.1002/rnc.7959","url":null,"abstract":"<div>\u0000 \u0000 <p>This article focuses on the practical stability to a part of the variables of stochastic Riemann-Liouville type fractional differential equation. The proof is considered by Lyapunov functions, stopping time technique, and stochastic analysis theory. Some numerical simulations are provided to verify the validity of the obtained results.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 12","pages":"5016-5025"},"PeriodicalIF":3.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144624258","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":"Asymptotic Consensus for a Nonlinear Multi-Agent System Modeled by the Wave Partial Differential Equations","authors":"Li Tang, Runhuan Sun, Yan-Jun Liu","doi":"10.1002/rnc.7957","DOIUrl":"https://doi.org/10.1002/rnc.7957","url":null,"abstract":"<div>\u0000 \u0000 <p>This study addresses the challenge of achieving asymptotic consensus for a nonlinear multi-agent system described by wave equations. Firstly, a consensus control scheme is designed using only the boundary information of the multi-agent system. Next, by means of operator semi-group theory, the existence and uniqueness of the solution for the closed-loop multi-agent system are analyzed and proved. A distributed protocol is introduced to approximate the multi-agent consensus realization to the exponential stability achievement of an error system. Then, the stability of the error system is proven using the Lyapunov stability theory. Finally, the effectiveness of the designed control scheme is verified by a simulation example.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 12","pages":"4990-5002"},"PeriodicalIF":3.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144624543","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":"Constrained Robust Predictive Control of Discrete Switched Systems With Time Delay: Static and Dynamic Output Feedback Controllers","authors":"M. Aminsafaee, M. H. Shafiei","doi":"10.1002/rnc.7943","DOIUrl":"https://doi.org/10.1002/rnc.7943","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper investigates the robust control of discrete-time switched systems in the presence of parametric uncertainty and time-varying delays. To accommodate a more general model, nonlinear Lipschitz functions are incorporated. Additionally, the system is modeled with constraints on both control inputs and outputs. To achieve the control objectives, static and dynamic output feedback controllers are designed using the robust model predictive control (RMPC) framework. The underlying optimization problem is formulated and solved, leveraging Lyapunov-Krasovskii functionals (LKF) and switched Lyapunov functions (SLF). The asymptotic stability of the closed-loop system under arbitrary switching signals is ensured by satisfying sufficient conditions expressed as linear matrix inequalities (LMIs). A key advantage of the proposed method lies in its low conservatism. Moreover, the time delay and state variables are assumed unknown, and they ensure an acceptable transient response of the closed-loop system. To demonstrate the effectiveness of the designed controllers, simulation results are provided and compared against prior related works, highlighting the improvements achieved.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 11","pages":"4796-4808"},"PeriodicalIF":3.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144299642","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":"A Three-Step Interval Estimation Method for Discrete-Time Linear Switched Systems","authors":"Zhenhua Wang, Xinyang Liu, Tarek Raïssi, Yi Shen","doi":"10.1002/rnc.7949","DOIUrl":"https://doi.org/10.1002/rnc.7949","url":null,"abstract":"<div>\u0000 \u0000 <p>This article proposes a three-step interval estimation method in the framework of optimization for discrete-time switched systems. The proposed method is realized based on the observers design via reachability analysis and measurement update. To obtain interval estimation, a peak-to-peak index is used to improve the robustness caused by disturbances and noise. The calculation of zonotopes and boxes is used for reachability analysis. A new iterative algorithm is proposed to reduce computational complexity. For improving estimation accuracy, a method of 1-norm optimization is proposed, which can reduce the conservatism of computing intersections.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 11","pages":"4901-4912"},"PeriodicalIF":3.2,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144300436","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":"Command Filtered Event-Triggered Adaptive Tracking Control for Fractional-Order Nonstrict Feedback System With Unmodeled Dynamics and Input Saturation","authors":"Xinfeng Zhu, Zihao Jiang","doi":"10.1002/rnc.7954","DOIUrl":"https://doi.org/10.1002/rnc.7954","url":null,"abstract":"<div>\u0000 \u0000 <p>This article investigates the adaptive tracking control problem for a class of nonlinear fractional-order nonstrict feedback systems with unmodeled dynamics, subject to input saturation, and under full state constraints. The problem of complexity explosion caused by backstepping scheme is avoided by using command filter. Compensation signals are introduced to eliminate filter errors. A logarithmic barrier Lyapunov function is used to address full-state constraints. Dynamic signal is designed to tackle unmodeled dynamics. A new auxiliary signal is proposed to handle saturation constraints. An event-triggering mechanism is introduced to reduce the computational burden while avoiding the Zeno phenomenon. Based on the fractional-order Lyapunov stability theory, it is proved that all signals in the closed-loop system are semiglobally uniformly bounded, and the tracking error converges to the specified performance bound. Finally, the rationality of the proposed strategy is verified through two simulation examples.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 12","pages":"4948-4962"},"PeriodicalIF":3.2,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144624815","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":"Distributed Secure Consensus Estimation for Power Systems Against False Data Injection Attacks","authors":"Zhijian Cheng, Hongru Ren, Jiahu Qin, Renquan Lu","doi":"10.1002/rnc.7936","DOIUrl":"https://doi.org/10.1002/rnc.7936","url":null,"abstract":"<div>\u0000 \u0000 <p>As a result of the rapid growth of distributed state estimation in modern power systems, power networks are facing increasingly serious security problems, thus requiring the advancement of defense techniques against cyber attacks. This paper is devoted to investigating distributed consensus state estimation with a defense mechanism against false data injection (FDI) attacks for power systems. By introducing a transformation matrix, the local subsystem model associated with the mixed remote terminal unit and phasor measurement unit measurements is constructed. Taking into account historical estimation information on state variables without being attacked, a defense mechanism constructed by secure historical estimation value is presented to protect the estimator against FDI attacks while maintaining accuracy in estimation. Then a distributed Kalman consensus filter (DKCF) is hosted to estimate the dynamic states of power systems under FDI attack protector. Considering scalability in large-scale power systems, a suboptimal DKCF with the designed protector is developed. By means of the Lyapunov-based approach, a sufficient condition is provided to ensure that the proposed estimator equipped with the defense mechanism is stable. Finally, the proposed distributed state estimation algorithms are validated on an IEEE benchmark 14-bus power system.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 11","pages":"4724-4737"},"PeriodicalIF":3.2,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144300435","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":"Fixed-Time Adaptive Tracking Event-Based Control for Uncertain Stochastic Nonlinear Systems With Output Constraints","authors":"Kun Wang, Liping Xie, Yixuan Yuan, Kanjian Zhang","doi":"10.1002/rnc.7955","DOIUrl":"https://doi.org/10.1002/rnc.7955","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper focuses on an adaptive fixed-time tracking control problem for nonstrict-feedback stochastic nonlinear systems with unknown control coefficients and output constraints. To overcome this problem, this article introduces a unified system transformation function to facilitate the transition of the system from constrained to unconstrained states. Subsequently, a fuzzy approximation principle is utilized for handling unknown terms in the transformed system, while Nussbaum functions are employed to manage unknown control directions. Then, combined with the backstepping technique, an adaptive fixed-time tracking controller is designed with an event-triggered mechanism, which not only achieves the convergence of tracking errors within a limited time independent of initial states, but also conserves resources. Under the proposed tracking controller, practical fixed-time stability can be ensured for the closed-loop system. Finally, two simulation examples demonstrate the efficacy of the proposed scheme.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 12","pages":"4963-4975"},"PeriodicalIF":3.2,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144624816","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}