Article
Automation & Control Systems
Shengli Du, Jiangtao Dong, Yuee Wang
Summary: This study focuses on stability and weighted L1-gain performance analysis of switched impulsive positive systems. A novel Lyapunov function and switching method were designed to develop improved stability conditions, and a more effective controller design strategy was proposed. The feasibility and superiority of the proposed strategies were verified through simulations.
IET CONTROL THEORY AND APPLICATIONS
(2021)
Article
Automation & Control Systems
Mohammad Ali Nojoumian, Moosa Ayati, Mohammad Reza Zakerzadeh
Summary: This paper addresses stabilizing uncertain Switched Positive Linear Systems (SPLSs) and proposes a bumpless transfer controller to improved switching controller robustness and guarantee L-1-gain performance. The stability of the SPLSs is ensured by using multiple copositive Lyapunov functions and the Dwell Time strategy.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2022)
Article
Automation & Control Systems
Qi Zhang, Weiwei Sun, Chaoqian Qiao
Summary: This paper presents a Hamiltonian approach to study the event-triggered stabilisation problem of switched affine nonlinear systems with actuator saturation. The proposed strategy can ensure the asymptotic stability of the plant without violating actuator saturation, even if there exists asynchronous phenomenon between the subsystems and their candidate controllers. This extends available results for switched nonlinear systems and reduces energy consumptions.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Automation & Control Systems
Zhongyang Fei, Weizhong Chen, Xudong Zhao
Summary: This paper investigates the zonotopic state estimation for discrete-time switched positive systems under asynchronism. A new radius definition called positive generator matrix based radius (PGR) is proposed to characterize the size of state zonotope and derive linear programming conditions. An iterative estimation procedure is proposed to construct the state bounding zonotope, allowing the mode-dependent weighted PGR to increase within asynchronous intervals. The proposed approach is validated through a simulation example.
Article
Automation & Control Systems
Zhibao Song, Ping Li
Summary: This paper proposes a novel universal barrier Lyapunov function for fixed-time stabilization of switched stochastic nonlinear systems with asymmetric output constraints. By adding a power integrator strategy, an elaborate control method is established to ensure system state fixed-time convergence to zero and maintain system output within the preset asymmetric region.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Automation & Control Systems
Mohammad Ali Nojoumian, Moosa Ayati, Mohammad Reza Zakerzadeh
Summary: This paper investigates a bumpless transfer control problem for uncertain switched positive linear time-delay systems, proposing a linear feedback controller and a switching law to reduce controller signal bumps while ensuring L1-gain performance. The developed method is extended to cover uncertain SPLTDSs and consider asynchronous switching, with stability conditions derived for both synchronous and asynchronous switching conditions using multiple co-positive Lyapunov-Krasovskii functional. Numerical examples demonstrate the effectiveness of the proposed method compared with existing solutions.
IET CONTROL THEORY AND APPLICATIONS
(2022)
Article
Automation & Control Systems
Qiang Yu, Xiaoyan Yuan
Summary: This paper presents a stability analysis method for positive switched systems based on a Phi-dependent average dwell time scheme. The stability criteria are established using a modified Lyapunov function approach. Numerical examples demonstrate the effectiveness of the proposed method, and comparisons with other methods are made.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Guangyang Liu, Yang Chang, Hongyan Yan
Summary: This paper studies two types of linear quadratic optimal control problems for multistage switched systems involving randomness and uncertainty. Chance theory is used to deal with this indeterminacy effectively. Analytical expressions are derived based on chance theory and Bellman's principle to calculate the optimal control input and switching control law. Genetic algorithm is used to implement optimal control instead of enumerating all possible elements in exponentially growing sets. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
Article
Automation & Control Systems
Junfeng Zhang, Miao Li, Tarek Raissi
Summary: This paper proposes a reliable control method for positive switched systems with random nonlinearities by employing a switched linear copositive Lyapunov function and designing a reliable controller to resist potential security risks caused by random nonlinearities and actuator faults.
Article
Automation & Control Systems
Xiaoli Li, Sheng-Li Du, Xudong Zhao
Summary: This article focuses on the exponential stability and l(1)-gain performance analysis of discrete-time switched positive systems under mode-dependent average dwell time switching. A novel linear copositive Lyapunov function is designed for stability and performance analysis, with solved conditions presented in terms of linear programming. Two examples are used to validate the effectiveness of the proposed scheme.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Yunting Wang, Rongqiang Tang, Housheng Su, Yaping Sun, Xinsong Yang
Summary: This article investigates the stabilization issue of switched discrete-time positive systems with delay using asynchronous control, and introduces a new method based on transition probability and mode-dependent average dwell time switching. It designs a mode-dependent controller to stabilize SDPS with unstable subsystems, showing the advantages of the new results through numerical simulations.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Automation & Control Systems
Ning Xu, Yun Chen, Anke Xue, Guangdeng Zong
Summary: This paper addresses the problems of finite-time stability and stabilization for continuous-time switched positive linear time-delay systems. By constructing a multiple piecewise copositive Lyapunov-Krasovskii functional, finite-time stability conditions are established, and finite-time stabilization is achieved by designing a state-feedback controller in the form of linear programming. The proposed controller construction approach reduces conservatism.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Computer Science, Information Systems
Feiyue Wu, Jie Lian, Dong Wang
Summary: This paper investigates the constrained stabilization problem of switched positive linear systems (SPLS) with bounded inputs and states using the set-theoretic framework of polyhedral copositive Lyapunov functions (PCLFs). It is shown that the existence of a common PCLF is necessary and sufficient for the stabilizability of an SPLS, and a PCLF-based approach is proposed for stabilization with a larger estimate of the domain of attraction for the constrained SPLSs. The analysis problems are converted into optimization problems with linear matrix inequalities as constraints when certain variables are fixed.
INFORMATION SCIENCES
(2022)
Article
Automation & Control Systems
Zhenrui Cao, Yingxue Du, Jianlong Qiu, Ancai Zhang, Zhi Liu
Summary: This paper investigates the hybrid control strategy (HCS) for time-varying delay positive switched linear systems (PSLS) with unstable modes. The HCS, including minimum switching strategy and discretized state feedback controller, is applied to PSLS with time-varying delay for the first time. A sufficient condition of globally uniformly asymptotically stable (GUAS) under the HCS is given using the discretized multiple linear copositive Lyapunov-Krasovskii functional. The HCS is also extended to discrete-time positive switched time delay systems, and a delay independent stabilization condition is obtained in the discrete system. The effectiveness of the HCS is verified by two simulation examples.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Shuang Shi, Zhongyang Fei, Ming-Zhe Dai
Summary: This paper investigates the asynchronous L1 filtering issue for a class of discrete time switched positive systems. An improved semi-time-dependent framework is established, which is compatible with the switching feature of asynchronously switched systems. Stability and L1-gain analysis for switched positive linear systems are examined using a semi-time-dependent multiple copositive Lyapunov function. Upper-bound and lower-bound positive filters are then designed to ensure the positivity, stability, and non-weighted L1-gain of the corresponding filtering error systems. The developed bounded filtering scheme is semi-time-dependent and achieves less conservative performance compared to conventional time-independent methodologies.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Xingxing Ju, Chuandong Li, Hangjun Che, Xing He, Gang Feng
Summary: This article proposes a novel fixed-time converging proximal neurodynamic network (FXPNN) to deal with equilibrium problems (EPs). The FXPNN shows better transient performance compared to most existing proximal neurodynamic networks and converges to the solution in fixed-time. It is applied to solve various optimization problems and inequalities, and its effectiveness and advantages are validated through numerical examples.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Computer Science, Theory & Methods
Rong Zhao, Lu Liu, Gang Feng
Summary: This paper investigates the problem of asynchronous fault detection filtering design for continuous-time Takagi-Sugeno (T-S) fuzzy affine dynamic systems in the finite-frequency domain. The objective is to design an admissible piecewise affine filter that ensures the asymptotic stability of the filtering error system and meets the prescribed finite-frequency H-/H-infinity performance. The proposed design approach utilizes the S-procedure, the generalized Kalman-Yakubovic-Popov lemma, piecewise quadratic Lyapunov functions, Projection lemma, and matrix inequality linearization techniques.
FUZZY SETS AND SYSTEMS
(2023)
Article
Automation & Control Systems
Haihua Guo, Min Meng, Gang Feng
Summary: This article investigates the mean square leader-following output consensus problem in heterogeneous multi-agent systems with randomly switching topologies and time-varying communication delays. It proposes a distributed observer to estimate the leader's state by modeling the switching topologies as a time-homogeneous Markov process and considering the communication delays. A novel distributed output feedback controller is then designed. By constructing a novel switching Lyapunov functional, an easily-verifiable sufficient condition for achieving mean square leader-following output consensus is provided. Two simulation examples are presented to demonstrate the effectiveness of the proposed control scheme.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Qianghui Zhou, Xiang Xu, Lu Liu, Gang Feng
Summary: This article investigates the output feedback stabilization problem of linear time-varying (LTV) systems with infinite distributed input delays. A novel observer is designed to estimate the system states and then a low gain output feedback controller is developed based on the estimated states. The resulting closed-loop control system is shown to be globally exponentially stable under some mild assumptions. To the best of our knowledge, the output feedback stabilization problem of LTV systems with infinite distributed input delays has not yet been studied in open literature. Two numerical examples are provided to illustrate the effectiveness of the proposed controllers.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Yahui Hao, Lu Liu, Gang Feng
Summary: This article addresses the cooperative output regulation problem of heterogeneous linear multiagent systems under jointly connected digraphs and proposes event-triggered control protocols based on state feedback and output feedback. It is demonstrated through experiments that the proposed protocols can exponentially converge the output tracking errors of the closed-loop control systems to zero.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Xiang Xu, Lu Liu, Miroslav Krstic, Gang Feng
Summary: This article proposes two low-gain controllers for systems with distributed input dynamics, governed by diffusion equations with counter convection. It shows that the considered PDE-ODE cascade system can be exponentially stabilized with the proposed low-gain controllers. The advantage of the proposed controllers is their simplified form compared to existing backstepping-designed controllers, but they require additional restrictions on the eigenvalues of the open-loop plant.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Dan Zhang, Chao Deng, Gang Feng
Summary: This article addresses the problem of resilient cooperative output regulation for a class of uncertain nonlinear multiagent systems (MASs) under denial-of-service (DoS) attacks. A novel distributed control scheme is proposed, which includes a resilient distributed observer and a distributed adaptive controller. The effectiveness of the proposed control scheme is demonstrated through a simulation example.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Cong Bi, Xiang Xu, Lu Liu, Gang Feng
Summary: This article addresses the problem of formation-containment tracking for heterogeneous linear multiagent systems with unbounded distributed transmission delays. A novel distributed control law is proposed for the formation-leaders and followers, achieving a prescribed time-varying formation and tracking a desired trajectory. The outputs of the formation-leaders converge to the convex hull spanned by their outputs, while special cases of consensus tracking, formation tracking, and containment control with bounded transmission delays are included. A numerical example is provided to demonstrate the effectiveness of the proposed controllers.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2023)
Article
Automation & Control Systems
Haihua Guo, Min Meng, Gang Feng
Summary: This paper addresses the mean square output containment control problem for heterogeneous multi-agent systems (MASs) with randomly switching topologies and nonuniform distributed delays. A novel distributed containment observer is proposed to estimate the convex hull spanned by the leaders' states by modeling the switching topologies as a continuous-time Markov process and taking the distributed delays into consideration. A novel distributed output feedback containment controller is then designed without using the prior knowledge of distributed delays. The output containment control problem is solved in the sense of mean square under an easily-verifiable sufficient condition by constructing a novel switching Lyapunov functional. Two numerical examples are provided to demonstrate the effectiveness of the proposed controller.
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
(2023)
Article
Automation & Control Systems
Wenji Cao, Lu Liu, Gang Feng
Summary: This article addresses the leader-following output consensus problem of heterogeneous linear multi-agent systems with unknown agent parameters under directed graphs. The proposed distributed adaptive pole placement control scheme, which allows non-minimum phase dynamics and unknown arbitrary individual relative degrees of followers, is shown to achieve bounded signals and asymptotic tracking of the leader's output. The effectiveness of the scheme is demonstrated through practical and numerical examples.
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
(2023)
Article
Automation & Control Systems
Zehua Ye, Dan Zhang, Chao Deng, Huaicheng Yan, Gang Feng
Summary: This work focuses on the resilient sliding mode control (SMC) problem of unmanned marine vehicles (UMVs) under the framework of Finite-Time Stability (FTS), considering the DoS attacks on the network between the UMV and the remote console. A T-S fuzzy model is used to model the nonlinear UMV, and a novel sliding mode protocol is proposed. The FTS conditions for both the reaching phase and the sliding mode phase are provided, and simulation results demonstrate the effectiveness of the proposed control scheme.
Article
Automation & Control Systems
Tao Xu, Tuo Yang, Zhisheng Duan, Gang Feng, Guanrong Chen
Summary: This article studies the coordination control problem of networked manipulators, where a two-layer control scheme is developed to estimate the position and velocity of the trajectory and design an event-driven distributed controller. The proposed controller reduces control update burden and communication costs by performing control updates and communication at certain event instants. Simulation results using MATLAB Robotics Toolbox verify the effectiveness and superiority of the proposed control scheme.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2023)
Article
Automation & Control Systems
Ruohan Yang, Lu Liu, Gang Feng
Summary: This article studies the tracking problem of a class of heterogeneous linear minimum-phase discrete-time multiagent systems with unknown agent parameters in the presence of bounded disturbances. A novel framework is proposed to convert the complicated cooperative tracking problem of unknown heterogeneous MASs into a cooperative tracking problem of the reference models and a local robust model reference adaptive control problem. The proposed framework can handle unknown MASs with arbitrary individual relative degrees and does not rely on any global graph information. The effectiveness of the proposed controller is demonstrated through an example.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Xin Wang, Gang Feng
Summary: This article investigates the dynamic event-triggered H-infinity filtering problem for networked control systems under multiple cyber-attacks. A novel dynamic event-triggering mechanism (DETM) and corresponding event-triggered filter are proposed by considering both denial-of-service (DoS) and deception attacks (DAs). Sufficient conditions are derived using a piecewise Lyapunov functional (PLF) to ensure global stochastic exponential stability and H-infinity performance of the resulting filtering error system in the presence of both DoS and DAs. A simulation example of a tunnel diode circuit system is provided to validate the effectiveness of the proposed event-triggered filter under multiple cyber-attacks.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Chunqi Zhang, Hangjie Mo, Liushuai Zheng, Han Zhao, Gang Feng, Dong Sun
Summary: This paper proposes a liquid-driven laser scanner for tissue ablation and precise manipulation during surgery. The scanner is miniaturized, operates at a low driving voltage, and is suitable for confined spaces. Experimental and theoretical results demonstrate its effectiveness and stability in laser steering.
ADVANCED INTELLIGENT SYSTEMS
(2023)
