Articles

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

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

  IJPTT-book-cover
 		 International Journal of P2P Network Trends and Technology (IJPTT)          
 
© 2017 by IJPTT Journal
Volume-7 Issue-5
Year of Publication : 2017
Authors : Arun Kumar Singh

Citation

Arun Kumar Singh "Robust Optimal H? Control for Uncertain 2-D Discrete Systems described by the General Model via State feedback Controller". International Journal of P2P Network Trends and Technology (IJPTT).V7:12-20 September to October 2017. ISSN:2249-2615. www.ijpttjournal.org. Published by Seventh Sense Research Group.

Abstract

This paper is concerned with the problem of H? control for uncertain two-dimensional (2-D) 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 2-D 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 2-D discrete system as well as achieving the least value of H noise attenuation level of resulting closed-loop system. Finally, an illustrative example is given to demonstrate the applicability of proposed approach.

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Keywords
Two-dimensional systems; H? control; linear matrix inequality; state feedback controller; general model.