H∞ control for a class of discrete-time singular systems via dynamic feedback controller. (August 2016)

• Record Type: Journal Article
• Authors: Long, Shaohua; Zhong, Shouming
• Is Part Of: Applied mathematics letters. Volume 58(2016:Aug.)
• Page Start: 110
• Page End: 118
• Publication Date: 2016-08
• Subjects: Discrete-time singular system -- H∞ control -- Dynamic feedback control -- Lyapunov functional; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.02.004
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper deals with the H ∞ control problem for a class of discrete-time singular systems. A dynamic feedback control scheme is considered in this paper, while few results in the existing literature employed it to study the H ∞ control problem for the discrete-time singular systems. By using the Lyapunov functional method and the linear matrix inequality (LMI) approach, a sufficient condition for the existence of a dynamic feedback controller that guarantees the resulting closed-loop system to be admissible with given H ∞ performance index is derived. Finally, a numerical example is provided to show the effectiveness of the proposed method.