ROBUST H_∞ CONTROL OF UNCERTAIN DISCRETE-TIME SWITCHING SYMMETRIC COMPOSITE SYSTEMS

摘要

Reduced-order design of decentralized H_∞ static output switching controllers is presented for uncertain discrete-time switching symmetric composite systems with state-dependent switching rule. First, a reduced-order control design model is constructed with the dimension equal to a subsystem's dimension of the original system. Then, quadratically stabilizing switching controller with a given H_∞ disturbance attenuation level is designed using linear matrix inequalities (LMI) for the design model. It is proved that when this controller together with the corresponding switching rule are implemented into each subsystem of the original system then such decentralized controller quadratically stabilizes the overall closed-loop system with H_∞ norm bound γ. The switching is decentralized into independent switching rules operating only on local subsystems states.