Optimal switching of switched systems with time delay in discrete time

Automatica ◽  
2020 ◽  
Vol 112 ◽  
pp. 108696 ◽  
Author(s):  
Wei Xu ◽  
Zhi Guo Feng ◽  
Gui-Hua Lin ◽  
Ka Fai Cedric Yiu ◽  
Liying Yu
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Switched Systems ◽  
Optimal Switching

Optimal switching for linear quadratic problem of switched systems in discrete time

Automatica ◽  
2017 ◽  
Vol 78 ◽  
pp. 185-193 ◽  
Author(s):  
Wei Xu ◽  
Zhi Guo Feng ◽  
Jian Wen Peng ◽  
Ka Fai Cedric Yiu
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Optimal Switching ◽  
Linear Quadratic ◽  
Quadratic Problem

Sliding mode control of discrete-time switched systems with time-delay

2013 ◽  
Vol 350 (1) ◽  
pp. 19-33 ◽  
Author(s):  
Xiaoxi Yu ◽  
Chunfeng Wu ◽  
Fangzhou Liu ◽  
Ligang Wu
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Discrete Time ◽  
Switched Systems ◽  
Sliding Mode ◽  
Mode Control

Stability analysis for discrete-time switched systems with uncertain time delay and affine parametric uncertainties

2016 ◽  
Vol 40 (4) ◽  
pp. 1150-1157 ◽  
Author(s):  
NA Baleghi ◽  
MH Shafiei
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Stability Conditions ◽  
Parametric Uncertainties ◽  
Switched Linear System ◽  
Uncertain Time

This paper studies the stability conditions of a discrete-time switched linear system in the presence of affine parametric uncertainties and an unknown time delay. Based on a discrete Lyapunov functional, sufficient conditions are investigated to determine the upper bound of admissible time delay in the discrete-time switched system. Furthermore, the average dwell time method, which is an effective tool for stability analysis of switched systems, is used to derive the exponential stability conditions. These conditions characterize the switching signal, which does not depend on any uncertainties. Finally, numerical examples are provided to verify and compare the theoretical results.

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