High-order sliding mode observer for fractional commensurate linear systems with unknown input
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AbstractIn this paper, a high-order sliding mode observer (HOSMO) is proposed for the joint estimation of the pseudo-state and the unknown input of fractional commensurate linear systems with single unknown input and a single output. The convergence of the proposed observer is proved using a Lyapunov-based approach. In addition, an enhanced variant of the proposed fractional-HOSMO is introduced to avoid the peaking phenomenon and thus to improve the estimation results in the transient phase. Simulation results are provided to illustrate the performance of the proposed fractional observer in both noise-free and noisy cases. The effect of the observer’s gains on the estimated pseudo-state and unknown input is also discussed.
CitationBelkhatir Z, Laleg-Kirati TM (2017) High-order sliding mode observer for fractional commensurate linear systems with unknown input. Automatica 82: 209–217. Available: http://dx.doi.org/10.1016/j.automatica.2017.04.035.
SponsorsThe authors would like to thank the anonymous referees and associate editor for their careful reading and useful suggestions that helped them to improve the quality of this paper. They would also like to thank Professor Mohamed Djemai, from university of Valenciennes et Hainaut-Cambrésis in France, for his valuable suggestions and comments.