Static Output Feedback Control for Positive Systems via LP Approach
This paper considers the stabilization problem by means of a static output feedback control for linear systems. The control is under positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive. For single-output systems, by using the singular value decomposition approach, necessary and sufficient conditions for the existence of such controllers are established in terms of standard linear programming problems. And the robust output feedback stabilization is concerned for systems with interval uncertainties. The proposed approach can be also applied to multi-output positive systems with a special form in control matrix. Finally, illustrative examples are provided to show the effectiveness and applicability of the theoretical results.
Linear Programming (LP) Interval Uncertainty Output Feedback Stabilization Positive Systems
MENG Min ZHU Shuqian ZHANG Chenghui
School of Mathematics, Shandong University, Jinan 250100, P. R. China School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1435-1440
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）