Reach set computation and control synthesis for discrete-time dynamical systems with disturbances

被引：23
|
作者：
Kurzhanskiy, Alex A. [1 ]
Varaiya, Pravin [1 ]
机构：
[1] Univ Calif Berkeley, Dept Elect Engn & Comp Sci, Berkeley, CA 94720 USA
来源：
AUTOMATICA | 2011年 / 47卷 / 07期
关键词：
Ellipsoidal methods; Dynamic programming; Maxmin/minmax reachability; Closed-loop reach set; Backward reachability; Discrete-time linear systems;
D O I：
10.1016/j.automatica.2011.02.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper is devoted to the formulation of the reachability problem for discrete-time dynamical systems with disturbances. The concept of maxmin and minmax forward and backward reach sets is addressed. Invariance of the backward reach set is discussed. The emphasis of the paper is on discrete-time linear systems, for which the ellipsoidal computational method is described. The synthesis of maxmin and minmax closed-loop control for steering the system to a given target set using ellipsoidal backward reach set approximations is explained. The ellipsoidal method covered in the paper is implemented in the Ellipsoidal Toolbox for MATLAB, a popular collection of ellipsoidal calculus routines freely available online. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1414 / 1426
页数：13
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