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这里同时考虑了快切换和慢切换两类切换情形,即任意切换和平均驻留时间切换情形.在这两种情形下,均给出了系统状态反馈镇定控制器的存在条件,所设计的控制器能够在原系统不必为正的情况下保证相应的闭环系统对于所有给定的区间不确定性不但为正而且渐近稳定.由于所获得的控制器存在条件均被描述为了线性不等式的形式,因此通过求解简单的线性规划问题很容易确定出所期望的控制器参数.最后,通过数值算例说明了本文所提出的镇定控制器设计方法的有效性.
In this paper, two types of switching cases, fast switching and slow switching are considered simultaneously, that is, the switching of arbitrary switching and average dwell time.In both cases, the existence conditions of the system state feedback stabilization controller are given. The designed control Can guarantee that the corresponding closed-loop system is not only positive and asymptotically stable for the given closed-loop system if the original system does not have to be positive.Because the obtained controller existence conditions are described as linear inequalities, The desired controller parameters can be easily determined by solving simple linear programming problems.Finally, numerical examples are given to illustrate the effectiveness of the proposed stabilization controller design method proposed in this paper.