In this paper, robust stabilization for a class of uncertain systems with multiple time delays is considered. A procedure of controller design for the global asymptotic stabilization of such systems via linear control is provided. A numerical example is given to illustrate our main result.
H∞ control with performance bound for a class of uncertain linear systems
✍ Scribed by Se-Hwa Park; Zeungnam Bien
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 315 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
H~ control is studied for a class of uncertain linear systems when the uncertainty is assumed to exist in the state matrix. A decentralized control scheme with two observer-based feedback controllers is developed for such a class of uncertain linear systems with two control channels. The gains of the observer-based feedback controllers can be computed from the positive-definite solutions of the two Riccati-like algebraic equations with some tuning freedom. The resulting closed-loop system provides guaranteed stability and H~-norm bounded performance in the presence of parameter uncertainty.
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