Weighted H∞ consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies

• 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
• DOI: 10.1007/s11071-019-04826-9

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.