Finite-time H ∞ control for discrete-time switched systems with admissible edge-dependent average dwell time

2020 ◽  
pp. 1-16
Author(s):  
Hailong Wang ◽  
Yanhui Tong ◽  
Dongmei Xu ◽  
Wanqing Song
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time

Asynchronously input-output finite-time control of discrete-time nonlinear impulsive positive switched systems

2019 ◽  
Vol 41 (14) ◽  
pp. 4157-4166 ◽  
Author(s):  
Leipo Liu ◽  
Hao Xing ◽  
Xiangyang Cao ◽  
Zhumu Fu ◽  
Yifan Di
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Input Output ◽  
Finite Time Stability ◽  
Time Control ◽  
Positive Switched Systems

This paper considers asynchronously input-output finite-time control of discrete-time nonlinear impulsive positive switched systems (DNIPSS). Firstly, the definition of input-output finite-time stability (IO-FTS) is introduced. By using the linear co-positive Lyapunov function (LCLF) and average dwell time (ADT) approach, a state feedback controller via asynchronous switching is designed and sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS. Such conditions can be solved by linear programming. Furthermore, the mode-dependent average dwell time (MDADT) method for asynchronously input-output finite-time control of DNIPSS is also presented. Finally, two examples are provided to show the effectiveness of the proposed method.

scholarly journals Nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems

2019 ◽  
Vol 17 (1) ◽  
pp. 716-727
Author(s):  
Leipo Liu ◽  
Hao Xing ◽  
Xiangyang Cao ◽  
Xiushan Cai ◽  
Zhumu Fu
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Actual State ◽  
Time Control ◽  
Guaranteed Cost ◽  
Impulsive Switched Systems ◽  
Positive Observer

Abstract This paper considers the nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems(DPISS). Firstly, the positive observer and nonfragile positive observer are designed to estimate the actual state of the underlying systems, respectively. Secondly, by using the average dwell time(ADT) approach and multiple linear co-positive Lyapunov function (MLCLF), two guaranteed cost finite-time controller are designed and sufficient conditions are obtained to guarantee the corresponding closed-loop systems are guaranteed cost finite-time stability(GCFTS). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

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
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