Title: An LMI approach to design robust H∞ controller for 2-D systems with delays
Authors: Khalid Badie; Mohammed Alfidi; Zakaria Chalh
Addresses: Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km 5 Imouzzer Road, Fez, Morocco ' Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km 5 Imouzzer Road, Fez, Morocco ' Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km 5 Imouzzer Road, Fez, Morocco
Abstract: This paper focuses on H∞ controller design for two-dimensional (2-D) discrete state delay systems described by the second Fornasini-Marchesini local state space (FM LSS) model with polytopic uncertainties. The objective is to design a robust state feedback controller such that the corresponding closed-loop system achieves robust asymptotic stability and guarantees a prescribed H∞ performance index for all admissible uncertainties. Based on parameter-dependent Lyapunov functions and Finsler's lemma, a new sufficient condition for H∞ performance analysis of 2-D discrete systems with delays is developed. Then a stabilising state feedback controller is designed. A simulation example is exploited to show the effectiveness of the proposed approach.
Keywords: 2-D state-delayed systems; State feedback; H∞ performance; polytopic uncertainties.
DOI: 10.1504/IJSSE.2019.100335
International Journal of System of Systems Engineering, 2019 Vol.9 No.2, pp.99 - 116
Received: 11 Jul 2018
Accepted: 11 Oct 2018
Published online: 26 Jun 2019 *