Dynamic programming for impulse controls

被引：36
|
作者：
Kurzhanski, A. B. [1 ]
Daryin, A. N. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 117234, Russia
来源：
ANNUAL REVIEWS IN CONTROL | 2008年 / 32卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Closed-loop impulse control; Feedback strategy; Dynamic programming; Variational inequality; Generalized controls; High-order impulses; Nonlinear analysis; Bar-bang control; Fast controls; Oscillating systems; Finite time;
D O I：
10.1016/j.arcontrol.2008.08.001
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 describes the theory of feedback control in the class Of inputs which allow delta-functions and their derivatives. It indicates a modification of dynamic programming techniques appropriate for such problems. Introduced ire physically realizable bang-bang-type approximations of the "ideal" impulse-type solutions. These may also serve as "fast" feedback controls which solve the terminal control problem in arbitrary small time. Examples of damping high-order oscillations in finite time are presented. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：213 / 227
页数：15
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