Linear Quadratic Optimal Control Based on Dynamic Compensation for Rectangular Descriptor Systems

The linear-quadratic optimal control by 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 regular,impulse-free,and stable（it is called admissible）,and its associated...

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Bibliographic Details
Published inZi dong hua xue bao no. 12; pp. 1752 - 1757
Main Author ZHANG Guo-Shan LIU Lei
Format Journal Article
LanguageChinese
Published 2010
Subjects
动力补偿
最优控制
线性二次方程
自动化
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Summary:The linear-quadratic optimal control by 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 regular,impulse-free,and stable（it is called admissible）,and its associated matrix inequality and Lyapunov equation have a solution.Also,the quadratic performance index is expressed in a simple form related to the solution and the initial value of the closed-loop system.In order to solve the optimal control problem for the system,the proposed Lyapunov equation is transformed into a bilinear matrix inequality（BMI）,and a corresponding path-following algorithm to minimize the quadratic performance index is proposed in which an optimal dynamic compensator can be obtained.Finally,a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed approach.
Bibliography:TP1
dynamic compensator
Rectangular descriptor system; dynamic compensator; optimal control; path-following algorithm; bilinear matrix inequality（BMI）
11-2109/TP
O232
optimal control
path-following algorithm
bilinear matrix inequality（BMI）
Rectangular descriptor system
ISSN:0254-4156
1874-1029