LMI Approach to Optimal Guaranteed Cost Control for Uncertain 2-D Discrete Shift Delayed Systems Described by the General Model

Author(s):

Abhay Vidyarthi; Manish Tiwari

Published in:

HCTL Open International Journal of Technology Innovations and Research (IJTIR), e-ISSN: 2321-1814

Published on:

31-December-2016

Volume:

Volume 18, January 2016, ISBN:978-1-944170-16-5.

Copyright Information:

© 2016 by the Authors; Licensed by HCTL Open, India.

License Information:

Creative Commons Licence
This article is an open-access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License.

Abstract

This paper is related to the robust stability analysis of 2-D discrete systems, subjected to norm bounded uncertainties as described by the shift delayed General model. A new criterion is developed for robust optimal guaranteed cost control of 2-D discrete systems via memory state feedback. An LMI (linear matrix inequality) based convex optimization problem is devised to design optimal controllers that stabilizes the underline system as well as provides an upper bound on the performance index. Finally a thermal process example is used to illustrate the effectiveness of the proposed result.


Keywords

2-D discrete systems, shift-delay, robust stability, memory state feedback, guaranteed cost control.

Cite this Article

Abhay Vidyarthi; Manish Tiwari, LMI Approach to Optimal Guaranteed Cost Control for Uncertain 2-D Discrete Shift Delayed Systems Described by the General Model, HCTL Open International Journal of Technology Innovations and Research (IJTIR), Volume 18, January 2016, e-ISSN: 2321-1814, ISBN (Print): 978-1-944170-16-5.

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