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ℋ∞constant gain state feedback stabilization of stochastic hybrid systems with Wiener process

El-Kébir Boukas and N. F. Al-Muthairi

Article (2004)

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Abstract

This paper considers the stabilization problem of the class of continuous-time linear stochastic hybrid systems with Wiener process. The ℋ∞ state feedback stabilization problem is treated. A state feedback controller with constant gain that does not require access to the system mode is designed. LMI-based conditions are developed to design the state feedback controller with constant gain that stochastically stabilizes the studied class of systems and, at the same time, achieve the disturbance rejection of a desired level. The minimum disturbance rejection is also determined. Numerical examples are given to show the usefulness of the proposed results.

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
2100 Mechanical engineering > 2107 Modelling, simulation and finite element methods
Department: Department of Mechanical Engineering
PolyPublie URL: https://publications.polymtl.ca/3665/
Journal Title: Mathematical Problems in Engineering (vol. 2004, no. 4)
Publisher: Hindawi
DOI: 10.1155/s1024123x04402038
Official URL: https://doi.org/10.1155/s1024123x04402038
Date Deposited: 17 Sep 2019 16:57
Last Modified: 04 Apr 2025 15:49
Cite in APA 7: Boukas, E.-K., & Al-Muthairi, N. F. (2004). ℋ∞constant gain state feedback stabilization of stochastic hybrid systems with Wiener process. Mathematical Problems in Engineering, 2004(4), 333-345. https://doi.org/10.1155/s1024123x04402038

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