Robust Optimal H? Control for Uncertain 2D Discrete Systems described by the General Model via State feedback Controller

International Journal of P2P Network Trends and Technology (IJPTT)  
© 2017 by IJPTT Journal  
Volume7 Issue5 

Year of Publication : 2017  
Authors : Arun Kumar Singh 
Citation
Arun Kumar Singh "Robust Optimal H? Control for Uncertain 2D Discrete Systems described by the General Model via State feedback Controller". International Journal of P2P Network Trends and Technology (IJPTT).V7:1220 September to October 2017. ISSN:22492615. www.ijpttjournal.org. Published by Seventh Sense Research Group.
Abstract
This paper is concerned with the problem of H? control for uncertain twodimensional (2D) discrete systems described by the General model (GM). The parameter uncertainty is assumed normbounded. A sufficient condition to have an H? noise attenuation for this uncertain 2D discrete system is given in terms of a certain linear matrix inequality (LMI). A convex optimization problem is proposed to design an optimal H? state feedback controller which ensures stability of the uncertain 2D discrete system as well as achieving the least value of H noise attenuation level of resulting closedloop system. Finally, an illustrative example is given to demonstrate the applicability of proposed approach.
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Keywords
Twodimensional systems; H? control; linear matrix inequality; state feedback controller; general model.