Output Feedback Robust Stabilization of the Decoupled Multiple Model
Ahmed Tahar1, Mohamed Naceur Abdelkrim2
1Ahmed Tahar, Department of Electrical Engineering, National School of Engineers of Gabes, University of Gabes, Tunisia.
2Mohamed Naceur Abdelkrim, Department of Electrical Engineering, National School of Engineers of Gabes, University, Gabes, Tunisia.
Manuscript received on January 07, 2015. | Revised Manuscript received on February 14, 2015. | Manuscript published on February 28, 2015. | PP: 94-100 | Volume-4 Issue-3, February 2015. | Retrieval Number: C3690024315/2013©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper aims to design a controller to robustly stabilize uncertain nonlinear systems with norm bounded uncertainties and unmeasured state variables via decoupled multi-model. The stabilization conditions are given in the form of linear matrix inequalities. Sufficient conditions are derived for robust stabilization in the sense of Lyapunov asymptotic stability and are formulated in the format of linear matrix inequalities (LMIs). The effectiveness of the proposed decoupled multi-model controller and multi-observer design methodology is finally demonstrated through numerical simulations.
Keywords: Decoupled multiple model, LMI, Multi-observer, Robust control.