Abstract
In this article, we provide a novel solution to the problem of persistent bounded disturbance rejection in linear discrete-time systems with time-varying delays. The solution is developed based on the tools of invariant set analysis and Lyapunov-function method. As an integral part of the solution, we derive less conservative sufficient conditions on robust attractor for discrete-time systems with delays in terms of strict linear matrix inequalities to guarantee the desired ℓ1-performance. A robust state-feedback controller is designed and the associated gain is determined using strict LMIs. The developed results are tested on a representative example.
| Original language | English |
|---|---|
| Pages (from-to) | 921-930 |
| Number of pages | 10 |
| Journal | International Journal of Systems Science |
| Volume | 42 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2011 |
Bibliographical note
Funding Information:The authors would like to thank the reviewers for their constructive comments that helped in improving the revised version of this article. The first author acknowledges the support by KFUPM research project No. FT090015 and the second author acknowledges the partial support of the National Natural Science Foundation of P.R. China (No. 60574080 and No. 60574083).
Keywords
- LMIs
- state-feedback
- time-delay systems
- tobust attractor
- ℓ-performance
ASJC Scopus subject areas
- Control and Systems Engineering
- Theoretical Computer Science
- Computer Science Applications