摘要
A newly designed approach of simultaneous stabilization is given for linear discrete time-delay systems. The problem of stabilization for a collection of systems is discussed initially. Adequate condition are obtained in terms of linear matrix inequalities （LMIs） which are independent of time delays such that the resultant collection of discrete time-delay systems are stable with an upper bound of the quadratic performance index. Subsequently, controllers are designed such that the resultant closed-loop discrete time-delay systems are simultaneously stabilized with the upper bound of the quadratic performance index. Finally,a numerical example is given to illustrate the design method.
A newly designed approach of simultaneous stabilization is given for linear discrete time-delay systems. The problem of stabilization for a collection of systems is discussed initially. Adequate condition are obtained in terms of linear matrix inequalities （LMIs） which are independent of time delays such that the resultant collection of discrete time-delay systems are stable with an upper bound of the quadratic performance index. Subsequently, controllers are designed such that the resultant closed-loop discrete time-delay systems are simultaneously stabilized with the upper bound of the quadratic performance index. Finally,a numerical example is given to illustrate the design method.
基金
This project was Supported by the National Natural Science Foundation of China (50335020,60574011)
PostdoctoralFund (2005038553)
Science Research Important Foundation in Hubei Provincial Department of Education(2002z04001).
作者简介
Chen Yuepeng was born in 1971. He is a professor of Wuhan University of Technology. Now he is a PDF. His research interests include H∞ control of descryptor systems and fault-tolerant control.Zhou Zude was born in 1946. He is a professor and the president of Wuhan University of Technology. His research interests include digital manufacturing, network manufacturing and virtual manufacturing.Liu Huanbin was born in 1956. He is a professor and the vice-president of Huanggang Normal University. His research interests include statistics, stochastic control.Zhang Qingling was born in 1956. Now he is the dean of College of Science of NEU, Professor of Control Theory and Control Engineering, and doctor tutor. His current research interests are decentralized control, robust control, fault-tolerant control, and theory of descriptor systems.
