Stability, ${l}_{2}$-Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time

2009 ◽  
Vol 54 (9) ◽  
pp. 2192-2199 ◽  
Author(s):  
Lixian Zhang ◽  
Peng Shi
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time

Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time

2014 ◽  
Vol 53 (2) ◽  
pp. 367-372 ◽  
Author(s):  
Bo Wang ◽  
Hongbin Zhang ◽  
Gang Wang ◽  
Chuangyin Dang ◽  
Sijun Zhong
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Asynchronous Control ◽  
Impulsive Switched Systems

New stabilization results for discrete-time positive switched systems with forward mode-dependent average dwell time

2016 ◽  
Vol 39 (2) ◽  
pp. 224-229 ◽  
Author(s):  
Tingting Liu ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Stability Result ◽  
Average Dwell Time ◽  
Feedback Controllers ◽  
Multiple Sample ◽  
The Stability ◽  
Positive Switched Systems ◽  
Time Linear

The stability and stabilization of discrete-time linear positive switched systems are discussed in this paper. First, based on the concept of the forward mode-dependent average dwell time, a stability result for discrete-time linear positive switched systems is obtained by utilizing the multiple linear copositive Lyapunov functions. Then, by introducing multiple-sample Lyapunov-like functions variation, a new exponential stability result is derived. Finally, the conditions for the existence of mode-dependent stabilizing state feedback controllers are investigated, and two illustrative examples are given to show the correctness of the theoretical results obtained.

Time-varying H∞ filtering for discrete-time switched systems with admissible edge-dependent average dwell time

2020 ◽  
Vol 42 (14) ◽  
pp. 2719-2732
Author(s):  
Bingxin Xue ◽  
Ruihua Wang ◽  
Shumin Fei
Keyword(s):  
Lyapunov Function ◽  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Convex Combination ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Time Varying ◽  
Text Filtering ◽  
Exponentially Stable

This paper addresses the [Formula: see text] filtering problem for a class of discrete-time switched systems by using an admissible edge-dependent average dwell time (AED-ADT) method. By means of a convex combination of positive definite matrices, a novel multiple piecewise convex Lyapunov function (MPCLF) is constructed, which can loosen the restrictions of Lyapunov function at switching points and interval interior points. Based on the MPCLF approach, sufficient conditions are established such that the filtering error system is globally uniformly exponentially stable (GUES) and a prescribed noise attenuation level in an [Formula: see text] sense is achieved. Moreover, the corresponding time-varying [Formula: see text] filters are given as well. Finally, the results of the simulation illustrate the feasibility and effectiveness of the proposed approaches.

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