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Design of robust controller for linear systems with Markovian jumping parameters

Khalid Benjelloun, El-Kébir Boukas, O. L. V. Costa and P. Shi

Article (1998)

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Cite this document: Benjelloun, K., Boukas, E.-K., Costa, O. L. V. & Shi, P. (1998). Design of robust controller for linear systems with Markovian jumping parameters. Mathematical Problems in Engineering, 4(4), p. 269-288. doi:10.1155/s1024123x98000830
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Abstract

This paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system's state and its modes, a sufficient condition for stochastic stabilizability of this class of systems is established. An example is provided to demonstrate the usefulness of the proposed theoretical results.

Uncontrolled Keywords

Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties

Open Access document in PolyPublie
Subjects: 2100 Génie mécanique > 2100 Génie mécanique
Department: Département de génie mécanique
Research Center: Non applicable
Funders: CRSNG/NSERC, Australian Research Council
Grant number: OGP0036444, A4932206
Date Deposited: 06 Nov 2018 13:24
Last Modified: 07 Nov 2018 01:20
PolyPublie URL: https://publications.polymtl.ca/3375/
Document issued by the official publisher
Journal Title: Mathematical Problems in Engineering (vol. 4, no. 4)
Publisher: Hindawi
Official URL: https://doi.org/10.1155/s1024123x98000830

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