Finite frequency $$H_\infty $$ H ∞ control of 2-D continuous systems in Roesser model

2016 ◽  
Vol 28 (4) ◽  
pp. 1481-1497 ◽  
Author(s):  
Zhaoxia Duan ◽  
Zhengrong Xiang
Keyword(s):  
Continuous Systems ◽  
Roesser Model ◽  
Finite Frequency

scholarly journals Model reduction design for continuous systems with finite frequency specifications

2021 ◽  
Vol 11 (5) ◽  
pp. 3956
Author(s):  
Miloud Koumir ◽  
Abderrahim El-Amrani ◽  
Ismail Boumhidi
Keyword(s):  
Model Reduction ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Continuous Systems ◽  
Asymptotically Stable ◽  
Matrix Inequalities ◽  
Finite Frequency ◽  
Error System ◽  
Takagi Sugeno

<p>This paper is concerned with the problem of model reduction design for continuous systems in Takagi-Sugeno fuzzy model. Through the defined FF H∞ gain performance, sufficient conditions are derived to design model reduction and to assure the fuzzy error system to be asymptotically stable with a FF H∞ gain performance index. The explicit conditions of fuzzy model reduction are developed by solving linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.</p>

Finite frequency Hoo filter design for T-S fuzzy continuous systems

2020 ◽  
Vol 10 (4) ◽  
pp. 1
Author(s):  
Abdelaziz Hmamed ◽  
Abderrahim El Amrani ◽  
Ahmed El Hajjaji ◽  
Bensalem Boukili ◽  
Ismail Boumhidi
Keyword(s):  
Filter Design ◽  
Continuous Systems ◽  
Finite Frequency

scholarly journals Iterative Learning Control Design and Application for Linear Continuous Systems with Variable Initial States Based on 2-D System Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Wei Guan ◽  
Qiao Zhu ◽  
Xu-Dong Wang ◽  
Xu-Hui Liu
Keyword(s):  
Iterative Learning Control ◽  
Learning Control ◽  
Iterative Learning ◽  
Linear Matrix ◽  
Design Criteria ◽  
Continuous Systems ◽  
Matrix Inequalities ◽  
Roesser Model ◽  
Initial State ◽  
Initial States

This paper is concerned with the variable initial states problem in iterative learning control (ILC) for linear continuous systems. Firstly, the properties of the trajectory of 2-D continuous-discrete Roesser model are analyzed by using Lyapunov's method. Then, for any variable initial states which absolutely converge to the desired initial state, some ILC design criteria in the form of linear matrix inequalities (LMI) are given to ensure the convergence of the PD-type ILC rules. The convergence for variable initial states implies that the ILC rules can be used to achieve the perfect tacking for variable initial states, even if the system dynamic is unknown. Finally, the micropropulsion system is considered to illustrate efficiency of the proposed ILC design criteria.

Stability and Robust Stabilization of 2-D Continuous Systems in Roesser Model Based on GKYP Lemma

2017 ◽  
Vol 8 (3) ◽  
pp. 990 ◽  
Author(s):  
Ismail Errachid ◽  
Abdelaziz Hmamed
Keyword(s):  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Continuous Systems ◽  
Roesser Model ◽  
Model Based ◽  
Inequality Technique ◽  
The Stability ◽  
Conditions Of Stability ◽  
Linear Matrix Inequality Technique

This paper is concerned with the stability and Robust stabilization problem for 2-D continuous systems in Roesser model, based on Generalized Kalman$-$Yakubovich$-$Popov lemma in combination with frequency-partitioning approach. Sufficient conditions of stability of the systems are formulated via linear matrix inequality technique. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Finite frequency H∞ filter design for T-S fuzzy continuous systems

2020 ◽  
Vol 10 (4) ◽  
pp. 367
Author(s):  
Abderrahim El Amrani ◽  
Ahmed El Hajjaji ◽  
Bensalem Boukili ◽  
Ismail Boumhidi ◽  
Abdelaziz Hmamed
Keyword(s):  
Filter Design ◽  
Continuous Systems ◽  
Finite Frequency
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