Optimal preview control for a class of continuous time-invariant descriptor systems
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论文类型：期刊论文
发表时间：2016-03-01
发表刊物：OPTIMAL CONTROL APPLICATIONS & METHODS
收录刊物：SCIE、EI
卷号：37
期号：2
页面范围：279-289
ISSN号：0143-2087
关键字：optimal preview control; descriptor system; linear-quadratic control; singular value decomposition
摘要：This paper presents the optimal finite horizon linear-quadratic control for a class of continuous linear time-invariant descriptor systems subject to a previewable desired output. For a quadratic performance index and a giving reference sequence, the solution is obtained in four steps. First, the continuous-time descriptor systems with previewable desired tracking signals are transformed into augmented error descriptor systems. Then, the necessary optimality conditions are derived from the maximum principle. Finally, the necessary optimality conditions can be transformed into differential Riccati equation by performing singular value decomposition of E-z. Subsequently, the solution of the differential Riccati equation can be obtained by solving the algebraic Riccati equation and the differential Lyapunov equation. The effectiveness and validity of the proposed approach have been demonstrated by an example. Copyright (c) 2015 John Wiley & Sons, Ltd.
发表时间：2016-03-01