Finite frequency H∞ control of 2-D continuous systems in Roesser model

• Published in: Multidimensional systems and signal processing Vol. 28; no. 4; pp. 1481 - 1497
• Main Authors: Duan, Zhaoxia, Xiang, Zhengrong
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.10.2017; Springer Nature B.V
• Subjects: Artificial Intelligence; Circuits and Systems; Control stability; Control systems; Controllers; Electrical Engineering; Engineering; Feedback control; Linear matrix inequalities; Mathematical analysis; Matrix methods; Signal,Image and Speech Processing; State feedback; Two dimensional models; control; 2-D continuous system; Finite frequency; KYP lemma
• ISSN: 0923-6082; 1573-0824
• DOI: 10.1007/s11045-016-0430-3

This paper investigates the finite frequency (FF) H ∞ control problem of two-dimensional (2-D) continuous systems in Roesser Model. Our attention is focused on designing state feedback controllers guaranteeing the bounded-input-bounded-output stability and FF H ∞ performance of the corresponding closed-loop system. A generalized 2-D Kalman-Yakubovich-Popov (KYP) lemma is presented for 2-D continuous systems. By the generalized 2-D KYP lemma, the existence conditions of H ∞ controllers are obtained in terms of linear matrix inequalities. Two examples are given to validate the proposed methods.