Time-dependent Decentralized Robust Control Based on LMIs of Large-scale Systems with Multiple State Delays

This paper studied the design of decentralized robust stabilization controller for large-scale systems with multiple state delay by means of Lyapunov-Krasovsii functional and a linear matrix inequality (LMI) approach. A time-dependent robust stability sufficient condition for the decentralized state feedback stabilization was derived. A convex optimization problem with LMI constraints was formulated to design a decentralized state feedback controller with smaller gain parameters, which enabled the closed-loop system robust asymptotically stably.