Adaptive Reliable $H_{\infty }$ Optimization Control for Linear Systems With Time-Varying Actuator Fault and Delays
针对带时变执行器故障和时滞的线性系统，提出一种自适应可靠H∞优化控制方法，通过引入指数函数项估计故障参数，并设计包含离线和在线增益的间接自适应控制器，保证系统指数稳定并优化性能指标。
This paper deals with the adaptive reliable H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> optimization control problem for linear time-delayed systems (LTDSs) against time-varying actuator faults. A novel delay-dependent adaptive H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance index is described for LTDSs. An exponential function term has been successfully introduced to establish a novel actuator fault parameters estimation scheme. Moreover, the designed indirect adaptive controller includes both offline and online gains, which can be obtained by robust optimization technique and adaptive fault parameters estimation, respectively. By employing an improved Lyapunov-Krasovskii functional and applying some new-developed integral inequalities technique, some delay-dependent sufficient conditions with less conservatism are established to make the closed-loop systems exponentially stable and have the optimized adaptive delay-dependent H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> performance index. Finally, the effectiveness and superiority of the presented scheme are demonstrated by two examples.