Asynchronously Intermittent Decentralized Control of Large-Scale Systems

This letter develops an asynchronously intermittent decentralized control for large-scale systems. Different from the existing works on intermittent decentralized control for large-scale systems where the controllers of all subsystems are activated or not activated simultaneously, in this letter, each subsystem possesses its own work and rest time. We design an auxiliary timer for each subsystem to make a compromise between control work intervals and control rest intervals such that the derivative of constructed vertex-Lyapunov functions (ignoring the interconnections) is negative all the time. Then we use the graph-theoretic technique to deal with the cross terms. A novel sufficient criterion is obtained to guarantee the exponential stability of the closed-loop system. Simultaneously, the control gain matrices are also designed according to the feasibility of some linear matrix inequalities (LMIs). Finally, two examples of coupled inverted pendulums illustrate the validity of our results.