1. A Discrete Second Order Sliding Mode Multiobserver Based on Multimodel Approach
- Author
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Elghoul, Khouloud, Dehri, Khadija, and Ben Abdennour, Ridha
- Abstract
The difficulty of observer design for a general class of nonlinear system and the reduction of chattering phenomenon are still challenging tasks in the theory of sliding mode observers. Thus, this paper aims to develop a novel second order sliding mode multiobserver (2SMMO) in order to avoid these problems. Indeed, a decoupled multimodel approach is used to construct the global model of the nonlinear system. Thereafter, the 2SMMO is generated as a finite partial sliding mode observers interpolated by weighting functions. Moreover, the linear matrix inequalities formulation, derived by the Lyapunov stability theory, is employed to establish satisfactory conditions ensuring the convergence of the multiobserver. A numerical simulation and a real application on a chemical reactor are given to illustrate the good performances of the proposed second order sliding mode multiobserver in terms of speed convergence, robustness against the disturbances and chattering phenomenon reduction.
- Published
- 2023
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