Stability of 2-D continuous systems in roesser model based on KYP lemma

2017 ◽  
Author(s):  
Ismail Er Rachid ◽  
Abdelaziz Hmamed ◽  
Badreddine El Haiek
Keyword(s):  
Continuous Systems ◽  
Roesser Model ◽  
Kyp Lemma ◽  
Model Based

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.

A Lyapunov Variable-Free KYP Lemma for SISO Continuous Systems

2008 ◽  
Vol 53 (11) ◽  
pp. 2669-2673 ◽  
Author(s):  
Hung Gia Hoang ◽  
Hoang Duong Tuan ◽  
Pierre Apkarian
Keyword(s):  
Continuous Systems ◽  
Kyp Lemma

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.

Finite frequency H∞ filtering for uncertain two-dimensional continuous systems

2018 ◽  
Vol 41 (1) ◽  
pp. 55-63
Author(s):  
Lu Wang ◽  
Guopeng Wang ◽  
Wen Qin
Keyword(s):  
State Space Model ◽  
Continuous Systems ◽  
Two Dimensional ◽  
Finite Frequency ◽  
Space Model ◽  
Kyp Lemma ◽  
Text Filtering ◽  
Bounded Uncertainties ◽  
The Given ◽  
Norm Bounded Uncertainties

This paper investigates the problem of robust finite frequency (FF) [Formula: see text] filtering for two-dimensional (2D) continuous systems described by the Roesser state-space model with norm-bounded uncertainties. A further generalized Kalman–Yakubivich–Popov (KYP) lemma for 2D continuous Roesser systems is presented in a unified form. By the given generalized KYP lemma, the problem of standard [Formula: see text] filtering for uncertain 2D continuous Roesser systems is extended to the FF case. Finally, an illustrative example is provided to validate the effectiveness of the proposed method.

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