Observer-based asynchronously intermittent decentralized control of large-scale systems

This paper focuses on observer-based asynchronously intermittent decentralized control of large-scale linear systems. The controller and observer of each subsystem are assumed to work and rest simultaneously, whereas the controllers and observers in different subsystems have independently and asynchronously intermittent working/resting time. By designing a piece-wise continuous auxiliary timer and using it to construct a switching vertex-Lyapunov function for each subsystem, we provide linear matrix inequality (LMI) conditions to determine the minimal allowable control rate of the intermittent controller that preserves the stability of the closed-loop system. We also present the design of an observer-based decentralized controller via LMIs. Finally, a simulation example illustrates the validity of the results.