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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Bibliographic Details
Published in:Nonlinear dynamics Vol. 96; no. 2; pp. 853 - 868
Main Authors: Zhou, Jianping, Wang, Yang, Zheng, Xiao, Wang, Zhen, Shen, Hao
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.04.2019
Springer Nature B.V
Subjects:
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
Stochastic disturbance
Output-feedback control
Multi-agent system
Average dwell time
Consensus
ISSN:0924-090X, 1573-269X
Online Access:Get full text
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Summary: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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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-019-04826-9