Estimation of the State and the Unknown Inputs of a Multimodel with non Measurable Decision Variables

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Published: Jun 1, 2014
DOI: https://doi.org/10.1016/S1665-6423(14)71623-2
Keywords:
Discrete multimodel, multiobserver with unknown inputs, non measurable variables of decision, quadratic stabilization, polyquadratic stabilization, unknown input estimation, Linear Matrix Inequalities (LMI)

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E. Maherzi
High School of Technology and Computer Science, University of Carthage
M. Besbes
High School of Technology and Computer Science, University of Carthage
S. Zemmel
High School of Applied Sciences and Technologies of Gafsa, University of Gafsa
A. Mami
Department of physics, Faculty of Sciences of Tunis, University of El Manar

Abstract

This paper treats the estimation of the state of a nonlinear system with unknown input. The nonlinear system isdescribed by a multimodel with unknown function of activation but depending only on the state. The method of designof the multiobserver is described by using the second method of Lyapunov and their candidate functions. Thesufficient obtained stability conditions are expressed in terms of Linear Matrix Inequalities (LMI) and are obtained firstusing the Lyapunov quadratic functions and secondly by using Lyapunov polyquadratic functions. This latter techniqueseems to be less conservative and less constraining than the first. Illustrative examples are presented in this paper.

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How to Cite
Maherzi, E., Besbes, M., Zemmel, S., & Mami, A. (2014). Estimation of the State and the Unknown Inputs of a Multimodel with non Measurable Decision Variables. Journal of Applied Research and Technology, 12(3). https://doi.org/10.1016/S1665-6423(14)71623-2
Issue
Vol. 12 No. 3
Section
Articles