Finite-Time Stability and H∞ Control of Linear Discrete-Time Delay Systems with Norm-Bounded Disturbances

This paper deals with the finite-time stability and H ∞ control of linear discrete-time delay systems. The system under consideration is subject to interval time-varying delay and norm-bounded disturbances. Linear matrix inequality approach is used to solve the finite-time stability problem. First,...

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Bibliographic Details
Published inActa mathematica vietnamica Vol. 41; no. 3; pp. 481 - 493
Main Authors Tuan, Le A., Phat, Vu N.
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.09.2016
Subjects
Mathematics
Mathematics and Statistics
Finite-time stability
Time-varying delay
34D10
Disturbances
49M7
control
Linear matrix inequalities
34K20
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Summary:This paper deals with the finite-time stability and H ∞ control of linear discrete-time delay systems. The system under consideration is subject to interval time-varying delay and norm-bounded disturbances. Linear matrix inequality approach is used to solve the finite-time stability problem. First, new sufficient conditions are established for robust finite-time stability of the linear discrete-time delay system with norm-bounded disturbances, then the state feedback controller is designed to robustly finite-time stabilize the system and guarantee an adequate level of system performance. The delay-dependent sufficient conditions are formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed results.
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-015-0155-7