随机不确定时滞系统的鲁棒H_∞控制

Robust H-infinity control for stochastic uncertain systems with time-delay

本文研究了随机不确定时滞系统的鲁棒稳定性与鲁棒H∞控制问题,系统的不确性具有凸多面体形式.利用线性矩阵不等式方法,通过依赖于参数的Lyapunov函数,得到了此类系统鲁棒随机镇定的充分条件.在此基础上,又给出了H∞状态反馈控制器的设计.

The robust stochastic stability and the robust H-infinity control for time-delay stochastic systems with convex polytopic uncertainties are addressed. Sufficient conditions for the solvability of these problems are obtained via the parameter-dependent Lyapnnov functional. It is also shown that a desired state feedback controller can be designed by solving a set of linear matrix inequality.