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

E. K. Boukas and N. F. Al-Muthairi

Article (2004)

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Cite this document: 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), p. 333-345. doi:10.1155/s1024123x04402038
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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.

Open Access document in PolyPublie
Subjects: 2100 Génie mécanique > 2100 Génie mécanique
2100 Génie mécanique > 2107 Modélisation, simulation et méthodes des éléments finis
Department: Département de génie mécanique
Research Center: Non applicable
Date Deposited: 17 Sep 2019 16:57
Last Modified: 18 Sep 2019 01:20
PolyPublie URL: https://publications.polymtl.ca/3665/
Document issued by the official publisher
Journal Title: Mathematical Problems in Engineering (vol. 2004, no. 4)
Publisher: Hindawi
Official URL: https://doi.org/10.1155/s1024123x04402038

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