Decentralized stochastic guaranteed cost control for uncertain nonlinear large-scale interconnected systems under gain perturbations

Abstract

This paper is concerned with the decentralized stochastic guaranteed cost control (GCC) for a class of uncertain nonlinear large-scale interconnected systems with control gain perturbations. First, the definition of the GCC problem with the deterministic and stochastic uncertainties is given. Second, a more practical model of actuator failures than outage is adopted. Based on the linear matrix inequality (LMI) approach, a method for designing reliable decentralized state feedback controllers is presented. Using the resulting control systems, asymptotically mean square stable (EMSS) is guaranteed and an adequate performance bound against high-order nonlinearity, plant uncertainty and actuator failures is attained. Finally, in order to show the effectiveness of the proposed design method, the simulation result is demonstrated.