Control for stability and positivity: equivalent conditions and computation
Control for stability and positivity: equivalent conditions and computation
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DOI：
10.1109/tcsii.2005.850525
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发表时间：
2005-09
期刊：
影响因子：
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通讯作者：
Huijun Gao;J. Lam;Changhong Wang;Shengyuan Xu
中科院分区：
文献类型：
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作者：
Huijun Gao;J. Lam;Changhong Wang;Shengyuan Xu
本文研究了具有闭环正性的线性系统的可镇定性。给出了存在期望状态反馈控制器的充要条件，使得闭环系统渐近稳定且为正反馈。连续和离散时间的情况下，被认为是所有的条件表示为线性矩阵不等式，可以很容易地验证，使用标准的数值软件。数值例子来说明所提出的条件。
This paper investigates the stabilizability of linear systems with closed-loop positivity. A necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. Both continuous and discrete-time cases are considered, and all of the conditions are expressed as linear matrix inequalities which can be easily verified by using standard numerical software. Numerical examples are provided to illustrate the proposed conditions.