Robust H-infinity and L-two-L-infinity exponential controls for stochastic time-delay Lurie systems
随机时滞Lurie系统的鲁棒H∞和L2-L∞指数控制

The robust exponential H-infinity control and the exponential L-two-L-infinity control for a class of uncertain It^o-type stochastic Lurie systems with time-delay are investigated. The uncertainties are norm-bounded and the delays are time-varying. Based on Lyapunov-Krasovskii functional method and It^o differential formula, we formulate the sufficient conditions for the existence of desired controllers in terms of linear matrix inequalities(LMIs). For all admissible uncertainties, the designed memoryless state-feedback controllers ensure that the closed-loop systems are robustly exponentially mean-square stable with prescribed H-infinity and L-two-L-infinity disturbance attenuation levels. Finally, the effectiveness of the proposed methods is demonstrated by two simulation examples.