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 inNonlinear dynamics Vol. 96; no. 2; pp. 853 - 868
Main Authors Zhou, Jianping, Wang, Yang, Zheng, Xiao, Wang, Zhen, Shen, Hao
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.04.2019
Springer Nature B.V
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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.
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
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Keywords Stochastic disturbance
Output-feedback control
Multi-agent system
Average dwell time
Consensus
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Snippet This paper is devoted to weighted H ∞ 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
URI https://link.springer.com/article/10.1007/s11071-019-04826-9
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