This paper considers the guaranteed cost control and anti-windup design problem for a class of discrete-time saturated switched systems. The switching strategy and anti-windup compensators are designed, for guaranteeing that the considered system is asymptotically stable and simultaneously the minimised upper-bound of cost function is obtained. By using the multiple Lyapunov functions method, we derive some sufficient conditions about the existence of anti-windup compensation gains of guaranteed cost. Furthermore, the minimised upper-bound of cost function is determined by solving an optimisation problem in terms of linear matrix inequalities constraints. Finally, a numerical example is given to show the effectiveness of the proposed method.

本文考虑了一类离散时间饱和切换系统的保成本控制和抗饱和设计问题。设计了切换策略和抗饱和补偿器，以保证所考虑的系统是渐近稳定的，同时获得成本函数的最小上限。利用多李雅普诺夫函数法，我们推导了保证成本的抗饱和补偿增益存在的充分条件。此外，成本函数的最小化上限是通过根据线性矩阵不等式约束求解优化问题来确定的。最后，给出了一个数值例子来说明所提方法的有效性。