Distributed Event-Based Control for Interconnected Linear Systems

This chapter presents a distributed event-based control (DEBC) strategy for a networked dynamical system consisting of N linear time-invariant interconnected subsystems. Each subsystem broadcasts its state over the network according to certain triggering rules which depend on local information only. The system can converge asymptotically to the equilibrium under the proposed control design, and the existence of a lower bound for the broadcasting period is guaranteed. The problem is solved assuming that the control law is able to decouple the subsystems and a continuous time system, and the results are extended to non-perfect decoupling and discrete-time systems afterwards.

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