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Erschienen in:
2013 | OriginalPaper | Buchkapitel
Takagi-Sugeno Fuzzy Representation to Modelling and State Estimation
verfasst von : Mohammed Chadli, Thierry-Marie Guerra, Ivan Zelinka
Erschienen in: Handbook of Optimization
Verlag: Springer Berlin Heidelberg
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This chapter shows the interest of Takagi-Sugeno (T-S) fuzzy model approach to apprehend nonlinear behaviors of physical systems and its application for observers design. From mathematical nonlinear model or experimental data, a T-S representation can be obtained using different techniques. This approach is largely exploited in many fields such as control, diagnosis and fault-tolerant control. Then the design of a robust T-S observer is addressed. The chapter considers a robust observer with respect to the uncertainties as well as unknown inputs. The synthesis of sufficient design conditions are performed using Lyapunov functions and set of linear matrix inequalities (
$\mathcal{LMI}$
). Two case studies are given. An example, dealing with a turbojet plane, shows how to obtain T-S representation using optimization algorithms. The validity of the proposed observer design is based on automatic steering of vehicles.