Minimax robust control of structured uncertain time-delay systems

Abstract

The problem of minimax robust control for structured uncertain time-delay systems is dealt with. The existence conditions of minimax robust controller in the form of LMI are derived in the sense of Lyapunov theory and by the definite equivalent transform for static structured uncertain time-delay systems with multiplicative time quadratic performance cost. The convex optimization algorithm is introduced to get the minima upper bound of performance cost and the optimal parameter of minimax controller. The existence conditions of minimax robust controller are presented for time-delay systems of which structured uncertainties satisfy dynamical integral quadratic constraints (IQC). Simulation results show that the designed controller can shorten the state attenuation time effectively.