Hidden Markov Model-Based Control for Cooperative Output Regulation of Heterogeneous Multi-Agent Systems under Switching Network Topology

• Published in: Mathematics (Basel) Vol. 11; no. 16; p. 3481
• Main Authors: Hong, Gia-Bao, Kim, Sung-Hyun
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.08.2023
• Subjects: Analysis; asynchronous distributed control; Controllers; Cooperation; Cooperative control; cooperative output regulation problem; Coupled modes; Decoupling method; Design; Eigenvalues; Food science; heterogeneous multi-agent systems; hidden Markov jumps; Laws, regulations and rules; Markov analysis; Markov chains; Markov processes; Multiagent systems; Network architecture; Network topologies; Probability; State observers; Switching; time-varying network topology; Wide area networks
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math11163481

This paper investigates the problem of stochastically cooperative output regulation of heterogeneous multi-agent systems (MASs) subject to hidden Markov jumps using observer-based distributed control. In order to address a more realistic situation than prior studies, this paper focuses on the following issues: (1) asynchronous phenomena in the system mode’s transmission to the controller; (2) the impact of system mode switching on network topology; and (3) the emergence of coupled terms between the mode-dependent Lyapunov matrix and the control gain in control design conditions. Specifically, to reduce the complexity arising from the asynchronous controller-side mode, the leader–state observer is developed so that the solution pair of regulator equations can be integrated into the observer. Furthermore, a linear decoupling method is proposed to handle the emergence of the aforementioned coupled terms; this provides sufficient LMI conditions to achieve stochastically cooperative output regulation for heterogeneous MASs. Finally, the validity of the proposed method is shown through two illustrative examples.