Analysis of Bilinear Systems with Sampled-Data State Feedback

2016 ◽  
pp. 79-96 ◽  
Author(s):  
Hassan Omran ◽  
Laurentiu Hetel ◽  
Jean-Pierre Richard ◽  
Françoise Lamnabhi-Lagarrigue
Keyword(s):  
State Feedback ◽  
Bilinear Systems ◽  
Sampled Data

Optimal Sampled–Data State Feedback Control of Linear Systems

2014 ◽  
Vol 47 (3) ◽  
pp. 5556-5561 ◽  
Author(s):  
Matheus Souza ◽  
Gabriela W.G. Vital ◽  
José C. Geromel
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
State Feedback ◽  
State Feedback Control ◽  
Sampled Data ◽  
Control Of Linear Systems

Sampled-Data State Feedback Stabilization of Boolean Control Networks

2016 ◽  
Vol 28 (4) ◽  
pp. 778-799 ◽  
Author(s):  
Yang Liu ◽  
Jinde Cao ◽  
Liangjie Sun ◽  
Jianquan Lu
Keyword(s):  
State Feedback ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Necessary And Sufficient Conditions ◽  
State Feedback Control ◽  
Global Stabilization ◽  
Sampled Data ◽  
Control Networks ◽  
Piecewise Constant Control ◽  
Necessary And Sufficient

In this letter, we investigate the sampled-data state feedback control (SDSFC) problem of Boolean control networks (BCNs). Some necessary and sufficient conditions are obtained for the global stabilization of BCNs by SDSFC. Different from conventional state feedback controls, new phenomena observed the study of SDSFC. Based on the controllability matrix, we derive some necessary and sufficient conditions under which the trajectories of BCNs can be stabilized to a fixed point by piecewise constant control (PCC). It is proved that the global stabilization of BCNs under SDSFC is equivalent to that by PCC. Moreover, algorithms are given to construct the sampled-data state feedback controllers. Numerical examples are given to illustrate the efficiency of the obtained results.

Robust control via state feedback for a class of uncertain bilinear systems

1996 ◽  
Vol 17 (2) ◽  
pp. 181-185
Author(s):  
Chen Songlin ◽  
Zhu Zhuchi
Keyword(s):  
Robust Control ◽  
State Feedback ◽  
Bilinear Systems

H∞ Robust State Feedback Sampled-Data Control of Interval Linear Systems

2020 ◽  
Author(s):  
Rafael M. Alves ◽  
André R. Fioravanti ◽  
Matheus Souza
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Hybrid Systems ◽  
Upper Bound ◽  
State Feedback ◽  
Data Systems ◽  
Sampled Data ◽  
Data Control ◽  
Interval Linear ◽  
Interval Linear Systems

In this paper, we address the H∞ control problem for uncertain sampled-data systems rewritten as hybrid systems. The conditions proposed are formulated as intervals to ensure stability and design controllers that guarantee an upper bound for an associated H∞ norm. A numerical example points out the main features of the proposed method.

H∞ Control of Fuzzy Neutral Systems under Sampled-Data Control

2010 ◽  
Vol 108-111 ◽  
pp. 482-487
Author(s):  
Jun Yang ◽  
Wen Pin Luo ◽  
Gui Hua Li
Keyword(s):  
State Feedback ◽  
Design Method ◽  
Descriptor System ◽  
Sampled Data ◽  
Neutral Systems ◽  
Lmi Approach ◽  
Data Control ◽  
System Method ◽  
Sampled Data Control ◽  
Barbalat Lemma

This paper is concerned with the H∞ sampled-data control for a class of fuzzy neutral systems. Employing Lyapunov-Krasovskii functional, the input delay approach, the descriptor system method, Barbalat lemma and the LMI approach, a design method of sampled-data state feedback controller for the fuzzy neutral systems is proposed.

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