Observer Design for 2-D Continuous Systems in the Roesser Model

2020 ◽  
pp. 77-84
Author(s):  
Mohammed Alfidi ◽  
Zakaria Chalh ◽  
Mohamed Ouahi
Keyword(s):  
Observer Design ◽  
Continuous Systems ◽  
Roesser Model

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.

Sign in / Sign up

Export Citation Format

Share Document