不确定时滞系统的保性能控制

Guaranteed Cost Control for Uncertain Time-delay Systems

基于时滞系统的一个新的指数稳定性定理,考虑了时不变不确定时滞系统的保性能控制问题。利用一种新的分析技术,通过解两个Riccati不等式和一个线性矩阵不等式得一保性能控制器,该控制器可保证闭环系统指数稳定且使系统满足一定的性能指标。与一般的不确定时滞系统保性能控制不同,所得的性能指标的上界中含有参数,可通过调整参数值的大小来使性能指标达到最优。所得Riccati不等式中含有时滞,因此该判据是时滞相关的。数值算例证明了该方法的适用性。

Based on a new exponential stability theorem of time-delay systems, the problem of guaranteed cost control for uncertain time-delay systems is considered. The controller is obtained by solving two Riccati inequalities and a linear matrix inequality, which makes the closed-loop system exponentially stable and guarantees an specific level of performance for any admissible value of the uncertainty. A parameter exists in upper bound of performance, which can be adjusted to obtain the optimal performance. This criterion is delay-dependent. An example shows the applicability of this method .