scholarly journals Robust ℋ∞Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation

2016 ◽  
Vol 65 (9) ◽  
pp. 1524-1530
Author(s):  
Hyoung Bin Kang ◽  
Ji Hyun Moon ◽  
Ho Jae Lee
Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Minjie Zheng ◽  
Shenhua Yang ◽  
Lina Li

This paper investigates the aperiodic sampled-data control for a chaotic system. Firstly, Takagi–Sugeno (T-S) fuzzy models for the chaotic systems are established. The lower and upper bounds of the sampling period are taken into consideration. Then, the criteria for mean square exponential stability analysis and aperiodic sampled-data controller synthesis are provided by means of linear matrix inequalities. And the real sampling patterns can be fully captured by constructing suitable Lyapunov functions. Finally, an illustrative example shows that the proposed method is effective to guarantee that the system’s states are stable with aperiodic sampled data.


2019 ◽  
Vol 148 ◽  
pp. 448-454 ◽  
Author(s):  
Ouarda Lamrabet ◽  
Ahmed Ech-charqy ◽  
El Houssaine Tissir ◽  
Fatima EL Haoussi

2018 ◽  
Vol 40 (14) ◽  
pp. 4027-4036 ◽  
Author(s):  
Zheng Minjie ◽  
Zhou Yujie ◽  
Yang Shenhua ◽  
Li Lina

The sampled-data admissibility problem for nonlinear singular systems in Takagi–Sugeno fuzzy models is discussed. By adding some novel terms, a novel fuzzy time-dependent Lyapunov–Krasovskii functional is proposed to fully capture the available characteristics of the actual sampling pattern. Sufficient conditions are derived to determine the regularity, absence of impulses and asymptotic stability of the system by using Lyapunov stability theorems. Then, the fuzzy sampled-data controller is obtained by analysing the admissible condition. One practical example involving a truck–trailer system is considered. It is shown that the proposed method and the designed controller for the system are effective and that less conservativeness can be obtained.


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