Positive Realness of a Class of Uncertain Linear Discrete-time Systems with Constant State Delay

摘要：

This paper is concerned with the problems of positive real analysis and control synthesis for discrete-time systems with time-invariant state delay and parameter uncertainties. Motivated by the results of 1, linear matrix inequality (LMI) characterizations of positive realness for discrete delay systems with/without uncertainties are derived, which enable one to check the positive realness by using parameter-dependent Lyapunov function. Numerical examples are included for illustration.

关键词： Positive Realness Time-delay Jensen Inequality Linear Matriz Inequalities(LMIs)

作者: Xianji Meng

作者单位: College of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China College of Information Science and Engineering, Northeastern University, Shenyang 110004, China

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 4094-4099

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）