带有输入滞后和状态滞后的一类不确定系统的鲁棒控制

主要研究了具有状态和输入均带有时滞的线性不确定系统的鲁棒镇定问题,进而导出了系统可以用一个无记忆的状态反馈控制率鲁棒镇定的充分条件,最后提出了一个鲁棒稳定化控制器的设计方法．在系统的不确定部分满足模有界性条件下,采用Lyapunov泛函法和线性矩阵不等式(LMIs)方法,给出了该控制系统与时滞大小无关的鲁棒二次可镇定的充分条件与控制器的设计方案最后通过引入引理3,又给出如何求出满足条件的无记忆控制器的增益矩阵K的计算步骤．

The Robust Control for a Class of Uncertain Systems with Delayed State and Input

The paper is concerned with the robust stabilization of uncertain systems with delayed state and input, a sufficient condition for the stablization of the system is derived by using a memoryless linear state feedback control law. Based on that, a method for designing the robust stabilzing controllers is presented. And also in the paper, under the condition that the uncertainties of the system are norm-bounded, then by Lypunov V-functional and LMIs, a sufficient condition for the system' s delay-independent robust quadratic stabilization and the method of its controller' s design are offered. Finally, by introducing the Lemma 3 , the steps of how to carry out the matrix K of the memory-less controller are also given.