A Characterization of Robust Regions of Attraction for Discrete-Time Systems Based on Bellman Equations

被引：1
|
作者：
Xue, Bai [1 ]
Zhan, Naijun
Li, Yangjia
机构：
[1] Chinese Acad Sci, State Key Lab Comp Sci, Inst Software, Beijing, Peoples R China
来源：
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
关键词：
Robust Regions of Attraction; State-Constrained Perturbed Discrete-Time Systems; Bellman Equations; DOMAIN;
D O I：
10.1016/j.ifacol.2020.12.1776
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we present a Bellman equation for computing robust regions of attraction for state-constrained perturbed discrete-time systems. The robust region of attraction of interest is a set of states such that every trajectory initialized in it will approach an equilibrium while never violating a specified state constraint, regardless of the actual perturbation. In this approach, the interior of the maximal robust region of attraction is characterized as the strict one sub-level set of the unique bounded and continuous solution to a Bellman equation. Copyright (C) 2020 The Authors.
引用
收藏
页码：6390 / 6397
页数：8
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