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Guaranteed cost control of discrete-time switched saturated systems
Discrete and Continuous Dynamical Systems-Series B ( IF 1.3 ) Pub Date : 2020-10-15 , DOI: 10.3934/dcdsb.2020300
Haijun Sun , Xinquan Zhang

The problem of guaranteed cost control is investigated for a class of discrete-time saturated switched systems. The purpose is to design the switched law and state feedback control law such that the closed-loop system is asymptotically stable and the upper-bound of the cost function is minimized. Based on the multiple Lyapunov functions approach, some sufficient conditions for the existence of guaranteed cost controllers are obtained. Furthermore, a convex optimization problem with linear matrix inequalities (LMI) constraints is formulated to determine the minimum upper-bound of the cost function. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

中文翻译:

离散时间切换饱和系统的有保证的成本控制

针对一类离散时间饱和切换系统,研究了保证成本控制的问题。目的是设计开关定律和状态反馈控制定律,以使闭环系统渐近稳定,并使成本函数的上限最小化。基于多重李雅普诺夫函数方法,为保证成本控制器的存在提供了一些充分条件。此外,提出了具有线性矩阵不等式(LMI)约束的凸优化问题,以确定成本函数的最小上限。最后,通过数值例子说明了该方法的有效性。
更新日期:2020-10-15
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