Technical communique: Improved stability criterion and its applications in delayed controller design for discrete-time systems

Authors:
Baoyong Zhang;Shengyuan Xu;Yun Zou
Affiliations:
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays and the problem of stabilization for discrete-time linear systems via time-delayed controllers. The first problem is solved by applying a novel Lyapunov functional, and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality. Based on this, a sufficient condition for the solvability of the second problem is presented. The reduced conservatism of the proposed stability result is shown through a numerical example, while the applicability of the time-delayed controller design method is demonstrated by an inverted pendulum system.