Controller Synthesis for Positive Systems Under .1-induced Performance

摘要：

In this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We .rst present an analytical method to compute the exact value of the l1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed l1-induced performance. Based on the characterization, a necessary and suf.cient condition for the existence of desired controllers is presented, and an iterative linear matrix inequality approach is developed to solve the design condition. Finally, a numerical example is given to illustrate the effectiveness of the proposed theoretical results.

关键词： Iterative algorithm Linear Lyapunov functions l1-induced performance Positive systems

作者: Xiaoming Chen James Lam Ping Li Zhan Shu

作者单位: Department of MechanicalEngineering, The University of Hong Kong, Pokfulam Road, Hong Kong Electro-Mechanical Engineering Group, Faculty of Engineering and the Environment, University of Sout

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 92-97

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）