Controller Design for Delayed Systems with Positive Constraint
This paper addresses the issue of controller design for a class of uncertain systems with multiple delays.Each system matrix is con fined by two constant matrices,and each delay may be time-varying even unbounded.The control objective is to design a family of gain matrices such that the resulted closed-loop system is not only asymptotically stable,but also positive.A system is said to be positive if its states are always nonnegative whenever its initial condition and inputs are nonnegative.A set of equivalent conditions are established,which guarantee that the closed-loop system is positive and asymptotically stable.These conditions are formulated by means of linear programming and linear matrix inequality,which can be easily veri fied numerically with the popular software MATLAB.An numerical example is provided to illustrate the obtained theoretical results.
GAO Xin LIU Duyu SHAO Shiquan XU Limei WANG Yu
College of Electrical and Information Engineering,Southwest University for Nationalities of China,Chengdu 610041,Sichuan,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）