基于参数依赖Lyapunov泛函不确定时滞系统的H_∞性能分析

研究了具有凸多面体不确定性时滞系统的H∞性能分析问题.基于参数依赖的Lyapunov泛函,导出了系统具有给定H∞性能指标的充分条件.进而,将系统最优H∞性能指标的求取问题转化为一个具有线性矩阵不等式约束的凸优化问题,后者可以应用现有的凸优化方法方进行有效的求解.所提出的方法具有更小的保守性.最后,给出的数值例子说明了提出结果的有效性.

H∞ Performance Analysis for Uncertain Time-Delay Systems Via Parameter-Dependent Lyapunov Functionals

The problem of H∞ performance analysis is considered for time-delay systems with convex polytopic-type uncertainties.The sufficient conditions are derived for the given H∞ performance of the systems via parameter-dependent Lyapunov functionals.Furthermore,the computation problem of the optimal H∞ cost is formulated as a convex optimization problem with LMI constraints,the latter can be solved by the existing convex optimization techniques.It is shown that the proposed results are less conservative.Finally,an example is given to illustrate the effectiveness of the proposed approach.