2013/03/27 by Burak Demirel, Corentin Briat, Demirel, Burak +3
Computer Science · Engineering · #FOS: Electrical engineering #FOS: Mathematics #Neural Networks Stability and Synchronization #Optimization and Control (math.OC) #Petri Nets in System Modeling #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1303.6837
openalex publication_date 2013/03/27 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
This paper proposes a supervisory control structure for networked systems\nwith time-varying delays. The control structure, in which a supervisor triggers\nthe most appropriate controller from a multi-controller unit, aims at improving\nthe closed-loop performance relative to what can be obtained using a single\nrobust controller. Our analysis considers average dwell-time switching and is\nbased on a novel multiple Lyapunov-Krasovskii functional. We develop stability\nconditions that can be verified by semi-definite programming, and show that the\nassociated state feedback synthesis problem also can be solved using convex\noptimization tools. Extensions of the analysis and synthesis procedures to the\ncase when the evolution of the delay mode is described by a Markov chain are\nalso developed. Simulations on small and large-scale networked control systems\nare used to illustrate the effectiveness of our approach.\n