离散区间线性切换正系统的镇定(英文)

Stabilization for discrete-time interval switched positive linear systems

中文关键词  区间线性切换正系统  镇定  快切换  慢切换  线性规划

英文关键词  interval switched positive linear systems  stabilization  fast switching  slow switching  linear programming

中文摘要

      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.

英文摘要

      In our investigation, both fast switching and slow switching—the arbitrary switching and the average dwelltime switching are considered, and the original system is not necessarily to be positive. In each switching case, we derive a sufficient condition for the existence of a set of state-feedback controllers guaranteeing the positivity and stability of the closed-loop system for all admissible interval uncertainties. All the obtained sufficient conditions are formulated in terms of linear inequalities, thus the desired controller parameters can be conveniently determined by solving simple linear programming problems. A numerical example is given to illustrate the effectiveness and the potential of the proposed approach.