Technical communique: D-stability and D-stabilization of linear discrete time-delay systems with polytopic uncertainties

Authors:
Wei-Jie Mao;Jian Chu
Affiliations:
State Key Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, China;State Key Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, China
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 3
Cited 0

D-stability analysis for discrete systems with a time delay

Systems & Control Letters
Feedback Control of Dynamic Systems

Feedback Control of Dynamic Systems
New stability and stabilization conditions for systems with time-delay

International Journal of Systems Science

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Abstract

Sufficient conditions for D-stability and D-stabilization of linear discrete time-delay systems with polytopic uncertainties are proposed in this paper. The results are based on parameter-dependent Lyapunov functions obtained from the feasibility of a set of linear matrix inequalities defined at the vertices of polytopic systems. These conditions guarantee all the poles of a corresponding system in a specified circular region. Finally, an illustrative example shows that the proposed conditions are effective to check the D-stability and to design the D-stabilizing controller for linear discrete time-delay systems.