{"title":"Fixed-Time Stability Criteria of Cyclic Switched Nonlinear Systems","authors":"Zhibao Song","doi":"10.1109/LCSYS.2024.3497833","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3497833","url":null,"abstract":"In this letter, a generalized fixed-time stability of nonlinear systems is firstly proposed. By the relation on the powers of Lyapunov function, a simpler, larger scaled, less conservative, and more accurate estimate of the settling-time function is provided for fixed-time stability, and it is still independent of the initial conditions. Subsequently, fixed-time stability of cyclic switched nonlinear systems is put forward under all stable modes and unstable modes, respectively.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2505-2510"},"PeriodicalIF":2.4,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal Bayesian Persuasion for Containing SIS Epidemics","authors":"Urmee Maitra;Ashish R. Hota;Philip E. Paré","doi":"10.1109/LCSYS.2024.3495733","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3495733","url":null,"abstract":"We consider a susceptible-infected-susceptible (SIS) epidemic model in which a large group of individuals decide whether to adopt partially effective protection without being aware of their individual infection status. Each individual receives a signal which conveys noisy information about its infection state, and then decides its action to maximize its expected utility computed using its posterior probability of being infected conditioned on the received signal. We first derive the static signal which minimizes the infection level at the stationary Nash equilibrium under suitable assumptions. We then formulate an optimal control problem to determine the optimal dynamic signal that minimizes the aggregate infection level along the solution trajectory. We compare the performance of the dynamic signaling scheme with the optimal static signaling scheme, and illustrate the advantage of the former through numerical simulations.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2499-2504"},"PeriodicalIF":2.4,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Safety-Critical Stabilization of Force-Controlled Nonholonomic Mobile Robots","authors":"Tianyu Han;Bo Wang","doi":"10.1109/LCSYS.2024.3492999","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3492999","url":null,"abstract":"We present a safety-critical controller for the problem of stabilization for force-controlled nonholonomic mobile robots. The proposed control law is based on the constructions of control Lyapunov functions (CLFs) and control barrier functions (CBFs) for cascaded systems. To address nonholonomicity, we design the nominal controller that guarantees global asymptotic stability and local exponential stability for the closed-loop system in polar coordinates and construct a strict Lyapunov function valid on any compact sets. Furthermore, we present a procedure for constructing CBFs for cascaded systems, utilizing the CBF of the kinematic model through integrator backstepping. Quadratic programming is employed to combine CLFs and CBFs to integrate both stability and safety in the closed loop. The proposed control law is time-invariant, continuous along trajectories, and easy to implement. Our main results guarantee both safety and local asymptotic stability for the closed-loop system.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2469-2474"},"PeriodicalIF":2.4,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142645429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Model-Free Solution for Inverse Linear-Quadratic Nonzero-Sum Differential Games","authors":"Emin Martirosyan;Ming Cao","doi":"10.1109/LCSYS.2024.3491633","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3491633","url":null,"abstract":"This letter addresses the inverse problem for Linear-Quadratic (LQ) nonzero-sum N-player differential games, where the goal is to learn cost function parameters such that the given tuple of feedback laws, which is known to stabilize a linear system, is a Nash equilibrium (NE) for the synthesized game. We show a model-free algorithm that can accomplish this task using the given feedback laws and the system matrices. The algorithm makes extensive use of gradient descent optimization that allow to find the solution to the inverse problem without solving the forward problem. To further illustrate possible solution characterization, we show how to generate an infinite number of equivalent games without repeatedly running the complete algorithm. Simulation results demonstrate the effectiveness of the proposed algorithms.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2445-2450"},"PeriodicalIF":2.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142645506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Distributed Secondary Control of Microgrids via a Time-Event Switching Triggered Mechanism","authors":"Kai Zhao;Feng Xiao;Shuqi Li;Xiaoyu Wang;Bo Wei","doi":"10.1109/LCSYS.2024.3491416","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3491416","url":null,"abstract":"With the consideration of limited communication and computation resources, time-event switching triggered secondary controllers of microgrids are designed in this letter. The time-event switching triggered mechanism proposed in this letter consists of two types of triggered mechanisms and a switching rule. In each switching round of the mechanism, a time-based triggered mechanism is first activated; and after a preset period of time, an event-triggered mechanism starts to work; once control action is triggered by an event, the event-triggered mechanism switches to the time-based triggered mechanism again, and the switching loop continues. The proposed switching event-triggered secondary controllers can restore frequencies and voltages of AC microgrids and there is no Zeno behavior due to the dwell times between switching. The effectiveness of the designed controllers is verified by theoretical analysis and simulations.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2463-2468"},"PeriodicalIF":2.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142645571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Input-Output “Fundamental Lemma” for Quarter-Plane Causal 2-D Models","authors":"Paolo Rapisarda;Yueqing Zhang","doi":"10.1109/LCSYS.2024.3491863","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3491863","url":null,"abstract":"If an input-output data trajectory generated by a 2D quarter-plane causal system is “sufficiently informative”, then any system trajectory restriction (an “unfolding”) is a finite linear combination of data unfoldings. We also design experiments to generically obtain sufficiently informative data.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2475-2480"},"PeriodicalIF":2.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142645452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Potential Games on Cubic Splines for Self-Interested Multi-Agent Motion Planning","authors":"Samuel Williams;Jyotirmoy Deshmukh","doi":"10.1109/LCSYS.2024.3491052","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3491052","url":null,"abstract":"Existing multi-agent motion planners face scalability challenges with the number of agents and route plans that span long time horizons. We tackle these issues by introducing additional abstraction by interpolating agent trajectories with natural cubic splines and leveraging existing results that under some natural assumptions, the resulting game has the structure of a potential game. We prove a simultaneous gradient descent method using independent per-agent step sizes is guaranteed to converge to a local Nash equilibrium. Compared with recent iLQR-based potential game solvers, our method solves for local Nash equilibrium trajectories faster in games with up to 52 agents, and we demonstrate scalability to long horizons.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2487-2492"},"PeriodicalIF":2.4,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cascaded Antithetic Integral Feedback for Enhanced Stability and Performance","authors":"Armin M. Zand;Ankit Gupta;Mustafa Khammash","doi":"10.1109/LCSYS.2024.3489396","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3489396","url":null,"abstract":"Precise intracellular regulation and robust perfect adaptation can be achieved using biomolecular integral controllers and it holds enormous potential for synthetic biology applications. In this letter, we consider the cascaded implementation of a class of such integrator motifs. Our cascaded integrators underpin proportional-integral-derivative (PID) control structures, which we leverage to suggest ways to improve dynamic performance. Moreover, we demonstrate how our cascaded strategy can be harnessed to enhance robust stability in a class of uncertain reaction networks. We also discuss the genetic implementation of our controllers and the natural occurrence of their cascaded sequestration pairs in bacterial pathogens.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2481-2486"},"PeriodicalIF":2.4,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10740005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pareto Optimal Control for Multi-Controller Networked Control Systems With Intermittent Observation","authors":"Cheng Tan;Qinglong Zhang;Jianying Di;Yuzhe Li","doi":"10.1109/LCSYS.2024.3489394","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3489394","url":null,"abstract":"This letter explores Pareto optimal control for networked control systems (NCSs) featuring multiple controllers and an estimator under Denial-of-Service (DoS) attacks. First, we address the intermittent observation issues due to DoS attacks by employing an optimal state estimator. We then introduce a novel Pareto optimal strategy for NCSs under consideration, grounded in generalized difference Riccati equations (GDREs), to optimize joint control among multiple controllers and minimize the weighted sum cost function. Finally, we apply our strategies to computation offloading in mobile edge computing networks (MECNs), demonstrating the practicality and effectiveness of the proposed approach.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2457-2462"},"PeriodicalIF":2.4,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142645428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Prescribed-Time Cooperative Output Regulation of Heterogeneous Multi-Agent Systems Under Switching DoS Attacks","authors":"Haoling Chen;Dan Zhang;Zehua Ye;Chao Deng","doi":"10.1109/LCSYS.2024.3489393","DOIUrl":"https://doi.org/10.1109/LCSYS.2024.3489393","url":null,"abstract":"The problem of prescribed-time output regulation for heterogeneous multi-agent systems (MASs) under DoS attacks is investigated in this letter. On the one hand, the system before and after the attack is established as a switching system, and the convergence of some or even all agents under DoS attacks is analyzed. On the other hand, a group of distributed prescribed-time observer-based state feedback controllers are designed to guarantee that the output regulation error converges to zero within prescribed-time, which can be specified by the user. Finally, a simulation example is used to verify the effectiveness of the main techniques in this letter.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2493-2498"},"PeriodicalIF":2.4,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142691751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}