Decentralized Observer-Based Reliable Control for a Class of Interconnected Markov Jumped Time-Delay System Subject to Actuator Saturation and Failure

摘要

A decentralized stabilization method is investigated for a class of interconnected Markov jumping systems subject to time-varying delays, actuator saturation and jumped failure. The mean-square exponential stability condition is established by constructing multiple Lyapunov-Krasovskii functionals, which are delay-dependent, mode-dependent and decay rate-dependent. Taking into account the influence of actuator saturation and jumped actuator failure, decentralized observer-based H-infinity state feedback stabilization schemes are designed. The decentralized observer gains and controller gains are determined by solving a convex optimization problem with H-infinity performance gamma(2) as objective and LMIs as constraints. Simulation results are also presented to illustrate the effectiveness and applicability of the obtained results.