H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances

Lin Zhao, Yingmin Jia, Jinpeng Yu and Junping Du

Applied Mathematics and Computation, 2017, vol. 292, issue C, 375-389

Abstract: This paper studies the scaled consensus control problem of networked multi-agent systems with linear coupling dynamics and external disturbances. A state feedback based distributed H∞ sliding mode control (SMC) approach is firstly established by designing integral-type sliding function, and a linear matrix inequality (LMI) based sufficient condition is given, which can guarantee the states of all agents achieving scaled consensus with H∞ disturbance attenuation index on sliding surface. A distributed adaptive SMC law with adaptive updated law is proposed such that the sliding surface is reachable. Then, the output feedback based distributed H∞ SMC is considered by designing distributed observer, and a SMC law is synthesized for the reaching motion based on the state estimates. A LMI based sufficient condition for the scaled consensus with H∞ disturbance attenuation index of the overall closed-loop system is derived. At last, the proposed distributed H∞ SMC is further extended to solve the scaled consensus control problem of networked multi-agent systems under switching topology. An example is included to show the effectiveness of the proposed methods.

Keywords: Multi-agent systems; Scaled consensus; H∞ sliding mode control; External disturbances (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:292:y:2017:i:c:p:375-389

DOI: 10.1016/j.amc.2016.08.002

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