Special Decentralized Control Problems in Discrete-time Interconnected Systems Composed of Two Subsystems
会议名称：《第25届中国控制会议》
会议日期：2006年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：This work was supported by the National Science Foundation of China under grant 60334030 10472001
关 键 词：Interconnected systems Decentralized control Parameter-dependent Lyapunov function (PDLF) Linear matrix inequality (LMI)
摘 要：正In this paper, some special decentralized control problems are addressed for discrete-time interconnected systems. First it is pointed out that some subsystems must be unstable to ensure stability of the overall system in some special cases. Then a special kind of decentralized control problem is studied. This kind of problem can be viewed as harmonic control among independent subsystems. Research results show that two unstable systems can generate a stable system through some effective cooperations. In addition, linear matrix inequality based based decentralized controller design method is also given by using parameter-dependent Lyapunov function method developed for the study of robust stability. Two examples are given to illustrate the results.