The Guaranteed Cost Control for Large-Scale Systems under Control Gain Perturbations

Abstract

The guaranteed cost control problem of the decentralized robust control for largr-scale systems with the norm-bounded time-varying parameter uncertainties and a given quadratic cost function is considered. Sufficient conditions for the existence of guaranteed cost controllers are given in terms of linear matrix inequality (LMI). It is shown that the decentralized local state feedback controllers can be obtained by solving the LMI. The problem of guaranteed cost control for large-scale systems under the gain perturbations is also considered.