Robust simultaneous finite-time control and fault detection for uncertain linear switched systems with time-varying delay

2017 ◽  
Vol 11 (7) ◽  
pp. 1041-1052 ◽  
Author(s):  
Hossein Shokouhi-Nejad ◽  
Amir Rikhtehgar Ghiasi ◽  
Mohammad Ali Badamchizadeh
Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 447 ◽  
Author(s):  
Yanli Ruan ◽  
Tianmin Huang

This paper is concerned with the problem of finite-time control for nonlinear systems with time-varying delay and exogenous disturbance, which can be represented by a Takagi–Sugeno (T-S) fuzzy model. First, by constructing a novel augmented Lyapunov–Krasovskii functional involving several symmetric positive definite matrices, a new delay-dependent finite-time boundedness criterion is established for the considered T-S fuzzy time-delay system by employing an improved reciprocally convex combination inequality. Then, a memory state feedback controller is designed to guarantee the finite-time boundness of the closed-loop T-S fuzzy time-delay system, which is in the framework of linear matrix inequalities (LMIs). Finally, the effectiveness and merits of the proposed results are shown by a numerical example.


2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Shuo Li ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi

This paper is concerned with the problem of finite-timel1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee thel1-gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework. Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with anl1-gain performance. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method.


2016 ◽  
Vol 207 ◽  
pp. 828-842 ◽  
Author(s):  
Guoqi Ma ◽  
Xinghua Liu ◽  
Linlin Qin ◽  
Gang Wu

2017 ◽  
Vol 11 (16) ◽  
pp. 2688-2697 ◽  
Author(s):  
Elahe Moradi ◽  
Mohammad Reza Jahed-Motlagh ◽  
Mojtaba Barkhordari Yazdi

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