带状和输入时滞的不确定系统的鲁棒保成本控制

Robust guaranteed cost control for uncertain dynamic systems with time-varying delays in state and control input

针对一类带有状态滞和输入滞的不确定时滞系统,研究了鲁棒保成本控制器设计问题。在适当的假设下利用Lyapunov稳定性方法,给出了系统时滞相关的鲁棒稳定性判别方法,并采用一个新的积分不等式方法,用线性矩阵不等式最优化途径解决了这类保成本控制问题。通过求解相应的性矩阵不等式就得到了系统的鲁棒保成本控制器,同时也能保证二次性能函数不超过一个确定的界。最后给出数值例子验证了所给方法的有效性。

This paper considers how to guarantee cost control for uncertain dynamic systems with time-varying delays in state and control input.Based on the proper Lyapunov functions,and using a new integral inequality,the paper proposes delay-dependent criteria to guarantee the robust stabilization of systems,introduces linear matrix inequality optimization approach designed for cost-guaranteeing control,and features the robust cost-guaranteeing controller developed by solving the corres ponding linear matrix inequality, so as to help the quadratic performance function to stay in a given limit. The paper ends with a numerical example to verify the feasibility of the suggested method.