Positive Realness and Optimality Problem for Rectangular Descriptor Systems
The inverse linear quadratic optimal problem based on dynamic compensation for rectangular descriptor system is considered in this paper. First a dynamic compensator with a proper dynamic order is given such that the closed-loop system is admissible and extended strictly positive real (ESPR) in terms of Bilinear Matrix Inequality (BMI). In this case, a sufficient condition for the existence of the optimal solution is presented. Then the weight matrices of the linear quadratic performance index are derived to be a parameterized expression. In order to solve the inverse optimal control problem for the system, an algorithm to the minimization problem with the BMI constraints is proposed based on path-following algorithm, in which an optimal dynamic compensator and the weight matrices of the linear quadratic performance index can be obtained. Finally, a numerical example is provided to demonstrate the effectiveness and correctness of the proposed results.
Rectangular Descriptor Systems Extended Strictly Positive Real (ESPR) Inverse Linear Quadratic Optimal Bilinear Matrix Inequality (BMI) Path-following Method
LIU Lei YANG Ying ZHANG Guoshan
Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijin School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
2270-2275
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）