Time-optimal L1/L2 norms optimal control for linear time-invariant systems
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DOI码：10.1002/oca.2953
发表刊物：Optimal Control Applications and Methods
关键字：bang-off-bang control; L1/L2 norms optimal control; optimal control; sparse optimization; time-optimal control
摘要：The theoretical properties of a novel time-optimal (Formula presented.) / (Formula presented.) norms optimal control for linear time-invariant systems are investigated. The (Formula presented.) -optimal control (or sparsest control) is converted to the time-optimal (Formula presented.) / (Formula presented.) norms optimal control which can be solved efficiently. The proposed control is obtained via minimization of the time-optimal (Formula presented.) / (Formula presented.) norms optimal control input along with the constraints on the state variable. Subsequently, by using the nonsmooth maximum principle, the uniqueness and continuity of the optimal solution of the time-optimal (Formula presented.) / (Formula presented.) norms optimal control are proved. The superiority of the time-optimal (Formula presented.) / (Formula presented.) norms optimal control is illustrated by numerical examples.
合写作者：Xuesong Chen,Zhaoyang Yin
论文类型：期刊论文
通讯作者：Heng Mai
卷号：44
期号：4
页面范围：1686-1699
是否译文：否
发表时间：2023-08-30
收录刊物：SCI