Optimal mode-switching for hybrid systems with varying initial states

被引：36

作者：

Axelsson, H. ^{[1
]}

Boccadoro, M. ^{[2
]}

Egerstedt, M. ^{[1
]}

Valigi, P. ^{[2
]}

Wardi, Y. ^{[1
]}

机构：

[1] Georgia Inst Technol, Atlanta, GA 30332 USA

[2] Univ Perugia, I-06125 Perugia, Italy

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 03期

基金：

美国国家科学基金会;

关键词：

Cost functionals - Finite dimensional - Initial conditions - Min-max optimization - Optimal control problem - Optimization problems - Switching parameters - Switching surfaces;

D O I：

10.1016/j.nahs.2007.11.010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper concerns a particular aspect of the optimal control problem for switched systems that change modes whenever the state intersects certain switching surfaces. These surfaces are assumed to be parameterized by a finite dimensional switching parameter, and the optimization problem we consider is that of minimizing a given cost-functional with respect to the switching parameter under the assumption that the initial state of the system is not a priori known. We approach this problem from two different vantage points by first minimizing the worst possible cost over the given set of initial states using results from min-max optimization. The second approach is based on a sensitivity analysis in which variational arguments give the derivative of the switching parameters with respect to the initial conditions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：765 / 772

页数：8

共 24 条

[1] MINIMIZATION OF FUNCTIONS HAVING LIPSCHITZ CONTINUOUS FIRST PARTIAL DERIVATIVES [J].