Delay-dependent robust stabilisation of discrete-time systems with time-varying delay

被引:69
|
作者
Liu, X. G. [1 ]
Martin, R. R.
Wu, M.
Tang, M. L.
机构
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
[2] Cardiff Univ, Sch Comp Sci, Cardiff, Wales
[3] Sch Informat Sci & Engn, Changsha 410083, Peoples R China
来源
关键词
D O I
10.1049/ip-cta:20050223
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The stability of discrete systems with time-varying delay is considered. New delay-dependent stability criteria are devised, which are dependent on the minimum and maximum delay bounds. An initial analysis leads to a criterion depending on an inequality involving certain matrices that can be freely chosen. By carefully choosing them to reflect the appropriate relationship between states at differing times, a stricter criterion is thereby obtained. Furthermore, new results for delay-dependent robust stabilisation of uncertain systems with time-varying delay are provided on the basis of a linear matrix inequality (LMI) framework. As the conditions obtained for the existence of admissible controllers are not expressed using strict LMI conditions, a cone complementary linearisation procedure is used to find suitable controllers. Finally, the results obtained, including the stability analysis, static output-feedback stabilisation and dynamic output feedback stabilisation are further extended to discrete time-delay systems having uncertain but norm-bounded parameters. Numerical examples demonstrate the validity of the approach proposed.
引用
收藏
页码:689 / 702
页数:14
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