Weighted H∞ consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies
This paper is devoted to weighted H ∞ consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT) switching topologies and external disturbances via output feedback. By introducing a linear transformation, the closed-loop systems are changed into r...
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Published in | Nonlinear dynamics Vol. 96; no. 2; pp. 853 - 868 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
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01.04.2019
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Abstract | This paper is devoted to weighted
H
∞
consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT) switching topologies and external disturbances via output feedback. By introducing a linear transformation, the closed-loop systems are changed into reduced-order systems and, at the same time, the issue of weighted
H
∞
consensus design is transformed into a weighted
H
∞
control problem. Then, Lyapunov conditions are established for the mean-square asymptotic stability and weighted
H
∞
disturbance attenuation of the reduced-order systems. Based on them, two sufficient conditions are derived for the existence of desired output-feedback control protocols through the feasible solution of a series of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results. |
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AbstractList | This paper is devoted to weighted
H
∞
consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT) switching topologies and external disturbances via output feedback. By introducing a linear transformation, the closed-loop systems are changed into reduced-order systems and, at the same time, the issue of weighted
H
∞
consensus design is transformed into a weighted
H
∞
control problem. Then, Lyapunov conditions are established for the mean-square asymptotic stability and weighted
H
∞
disturbance attenuation of the reduced-order systems. Based on them, two sufficient conditions are derived for the existence of desired output-feedback control protocols through the feasible solution of a series of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results. This paper is devoted to weighted H∞ consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT) switching topologies and external disturbances via output feedback. By introducing a linear transformation, the closed-loop systems are changed into reduced-order systems and, at the same time, the issue of weighted H∞ consensus design is transformed into a weighted H∞ control problem. Then, Lyapunov conditions are established for the mean-square asymptotic stability and weighted H∞ disturbance attenuation of the reduced-order systems. Based on them, two sufficient conditions are derived for the existence of desired output-feedback control protocols through the feasible solution of a series of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results. |
Author | Wang, Yang Zheng, Xiao Shen, Hao Zhou, Jianping Wang, Zhen |
Author_xml | – sequence: 1 givenname: Jianping surname: Zhou fullname: Zhou, Jianping organization: School of Computer Science and Technology, Anhui University of Technology – sequence: 2 givenname: Yang surname: Wang fullname: Wang, Yang organization: School of Computer Science and Technology, Anhui University of Technology – sequence: 3 givenname: Xiao surname: Zheng fullname: Zheng, Xiao organization: School of Computer Science and Technology, Anhui University of Technology – sequence: 4 givenname: Zhen surname: Wang fullname: Wang, Zhen organization: College of Mathematics and Systems Science, Shandong University of Science and Technology – sequence: 5 givenname: Hao orcidid: 0000-0002-6801-5693 surname: Shen fullname: Shen, Hao email: haoshenwj10@163.com, haoshen@ahut.edu.cn organization: School of Electrical and Information Engineering, Anhui University of Technology |
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consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT) switching... This paper is devoted to weighted H∞ consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT) switching... |
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SubjectTerms | Automotive Engineering Classical Mechanics Closed loop systems Closed loops Control Control theory Discrete time systems Disturbances Dwell time Dynamical Systems Engineering Euclidean space Feedback control H-infinity control Linear matrix inequalities Linear transformations Mathematical analysis Mechanical Engineering Multiagent systems Original Paper Output feedback Protocol Switching Topology Vibration |
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Title | Weighted H∞ consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies |
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