Optimal Control of Impulsive Hybrid Systems

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• 作者：Elena V. Goncharovap>*p>p> ; p>p>goncha@icc.ru" class="auth_mail" title="E-mail the corresponding authorp> ; Maxim V. Staritsynp>*p>p> ; p>p>starmax@icc.ru" class="auth_mail" title="E-mail the corresponding authorp>
• 关键词：Optimal control ; Maximum Principle
• 刊名：IFAC-PapersOnLine
• 出版年：2011
• 出版时间：January 2011
• 年：2011
• 卷：44
• 期：1
• 页码：10255-10260
• 全文大小：191 K

文摘

We consider an optimal control problem for an impulsive hybrid dynamic system, where jumps of a trajectory may occur only at the moments of hitting a given closed set. A time reparameterization technique is applied to reduce the original problem to the one with bounded controls. We show that the reparameterized problem is equivalent to optimization in a class of generalized solutions to the impulsive hybrid system. Necessary conditions for optimality of generalized control processes are obtained by interpreting the Maximum Principle in the reduced problem.