具有输入时滞与状态时滞的非线性不确定奇异系统的保性能控制

讨论了一类非线性不确定奇异时滞系统的保性能控制问题。基于线性矩阵不等式及基本不等式的方法,研究了所给定的性能函数及所容许的时滞。设计了一个无记忆反馈控制器,使得闭环系统稳定并且闭环系统的性能指标不大于指标上界。利用线性矩阵不等式的约束条件,给出了闭环系统的保性能的充分条件,用数值算例说明了方法的有效性。

Guaranteed cost control for nonlinear uncertain singular systems with input and state time delay

This paper discusses a problem in a class of nonlinear uncertain singular time-delay systems.Based on linear matrix inequality and fundamental inequality,it studies the given performance functions as well as the acceptable time-delay.A memoryless state feedback controller is designed so that the closed-loop systems asymptotically are stable and the corresponding performance index is not larger than the index bound.By using the constraint condition of linear matrix inequality,sufficient conditions for guaranteed cost control of closed-loop systems are given.A numerical example is used to demonstrate the effectiveness of the method.