Numerical methods for control optimization in linear systems

被引：0

作者：

A. I. Tyatyushkin

机构：

[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch

来源：

Computational Mathematics and Mathematical Physics | 2015年 / 55卷

关键词：

convex hull method; optimal control; time-optimal control problem; state constraints; adaptive algorithms; linear programming;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Numerical methods are considered for solving optimal control problems in linear systems, namely, terminal control problems with control and phase constraints and time-optimal control problems. Several algorithms with various computer storage requirements are proposed for solving these problems. The algorithms are intended for finding an optimal control in linear systems having certain features, for example, when the reachable set of a system has flat faces.

引用

页码：734 / 748

页数：14

共 7 条

[1]

Eaton J H(1962)An iterative solution to time-optimal control J. Math. Anal. Appl. 5 329-344

[2]

Tyatyushkin A I(2012)A multimethod technique for solving optimal control problem Optim. Lett. 7 1335-1347

[3]

Barr R O(1969)An efficient computational procedure for a generalized quadratic programming problem J. SIAM Control 7 415-429

[4]

Gibert E G(1966)An iterative procedure for computing the minimum of a quadratic from on a convex set J. SIAM Control 4 61-80

[5]

Gindes V B(1970)A method of successive approximations for the solution of linear problems of optimal control USSR Comput. Math. Math. Phys. 10 297-307

[6]

Tyatyushkin A I(2005)Numerical study of properties of optimal control in a pursuit problem J. Comput. Syst. Sci. Int. 44 421-430

[7]

Fedunov B E(undefined)undefined undefined undefined undefined-undefined

← 1 →