New approach to H∞ control for Markovian jump singular systems
| Autor: | Jinhui Zhang, E. K. Boukas, Yuanqing Xia |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Control and Optimization
Linear matrix inequality H control Markov process Singular systems Impulse (physics) Computer Science Applications Human-Computer Interaction Markovian jump symbols.namesake Singularity Control and Systems Engineering Control theory symbols Electrical and Electronic Engineering Jump process Mathematics |
| Zdroj: | IET Control Theory & Applications. 4:2273-2284 |
| ISSN: | 1751-8652 1751-8644 |
| DOI: | 10.1049/iet-cta.2009.0231 |
| Popis: | This study investigates the H∞ control problem for a class of continuous-time Markovian jump singular systems. The authors' attention is focused on the design of state and static output feedback controllers which ensure that the closed-loop system is regular, impulse-free and stochastically stable, and satisfies a prescribed H∞ performance level. To investigate the problem of H∞ performance analysis for the system under consideration, a bounded real lemma (BRL) is provided in terms of linear matrix inequality (LMI) containing equality constraints, which may not be a problem from the theoretical point of view, but may cause great big trouble in checking the conditions numerically. To solve this problem, a new version of BRL is also provided in terms of strict LMIs. Based on this, two approaches are established to solve the problem of state feedback H∞ control, and then, the problem of static output feedback H∞ control is solved, which can also be used for solving the dynamic output feedback control problems. Finally, two numerical examples are given to illustrate the effectiveness of the obtained theoretical results. |
| Databáze: | OpenAIRE |
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