Reachable set estimation and synthesis of discrete‐time switched systems

Summary This article focuses on estimating the reachable set of discrete‐time switched linear systems with unknown disturbance. The discontinuous multiple Lyapunov function, which enables us to reduce the conservatism in the sense of mode‐dependent average dwell‐time, is proposed to estimate the und...

Full description

Saved in:
Bibliographic Details
Published in:International journal of robust and nonlinear control 2020-12, Vol.30 (18), p.8060-8073
Main Authors: Zhao, Rui, Wang, Yijing, Zuo, Zhiqiang
Format: Article
Language:English
Subjects:
Liapunov functions
Linear systems
mode‐dependent average dwell‐time
reachable set
switched system
Switching
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Summary This article focuses on estimating the reachable set of discrete‐time switched linear systems with unknown disturbance. The discontinuous multiple Lyapunov function, which enables us to reduce the conservatism in the sense of mode‐dependent average dwell‐time, is proposed to estimate the underlying reachable set. The main difficulty of this problem is that the energy may jump at the switching instants. To this end, we seek for another set, which preserves the former reachable set as an inner one, guaranteeing that in the case of escaping the inner reachable set at the switching instants, the state trajectory will arrive at the inner reachable set within finite time. Finally, two numerical examples are given to show the efficiency of the proposed strategy.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.5217