不确定离散脉冲系统的保成本控制研究

许多实际系统都可归结为基于脉冲差分方程数学模型所描述的离散脉冲系统,针对此类离散脉冲系统,考虑一类范数有界时变参数不确定性和一个二次型性能指标,研究了其保成本状态反馈控制问题.首先根据李亚普诺夫稳定性理论与鲁棒控制的基本原理,给出了存在保成本控制器的一个充分条件,然后依据范数有界性参数不确定性已有的结论证明了该条件等价于一个线性矩阵不等式的可解性问题,并用这组线性矩阵不等式的可行解给出了保成本控制律的一个参数化表示.

Guaranteed cost control for uncertain discrete-time impulsive systems

Many actual systems can be described by uncertain discrete-time impulsive systems modeled by impulsive difference equations.Aiming at this class of discrete impulsive systems with norm-bounded time-varying parameter uncertainty and a quadratic cost index,the design of a state feedback controller for guaranted costs was studied.A sufficient condition for the existence of guaranteed cost state feedback controller was presented in terms of the Lyapunov stability theory and robust control principles.It showed that this condition was equivalent to the solvability problem of a system of linear matrix inequalities in accordance with some existing conclusions about the norm-bounded time-varying parameter uncertainty.The solutions of this linear matrix inequalities system provided a parameterized representation of the guaranteed cost controller.