New delay-dependent conditions on robust stability and stabilisation for discrete-time systems with time-delay

Authors:
Jun Yoneyama;Takuo Tsuchiya
Affiliations:
Department of Electronics and Electrical Engineering, Aoyama Gakuin University, Sagamihara, Kanagawa, Japan;Department of Electronics and Electrical Engineering, Aoyama Gakuin University, Sagamihara, Kanagawa, Japan
Venue:
International Journal of Systems Science
Year:
2008

Citing 3
Cited 0

Delay-dependent robust H∞ control of uncertain linear systems with time-varying delays

Computers & Mathematics with Applications
A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems

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Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems

Automatica (Journal of IFAC)

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Abstract

This article is concerned with new robust stability conditions and robust stabilisation method for a discrete-time system with time-delay and time-varying structured uncertainties that come into state and input matrices. An improved approach to obtain new robust stability conditions is proposed. Our approach employs a generalised Lyapunov functional combined with the parameterised model transformation method and the generalised free weighting matrix method. These generalisations lead to generalised robust stability conditions that are given in terms of linear matrix inequalities. Moreover, based on new robust stability conditions, a robust stabilisation method for uncertain discrete-time systems with time-delay is given. Numerical examples compare our robust stability conditions with some existing conditions to show the effectiveness of our approach and also illustrate the improvement of our robust stabilisation method.