A robust -tracking design for uncertain Takagi–Sugeno fuzzy systems with unknown premise variables using descriptor redundancy approach

Mohammad Hassan Asemani and Vahid Johari Majd

International Journal of Systems Science, 2015, vol. 46, issue 16, 2955-2972

Abstract: This paper addresses a robust H∞ fuzzy observer-based tracking design problem for uncertain Takagi–Sugeno fuzzy systems with external disturbances. To have a practical observer-based controller, the premise variables of the system are assumed to be not measurable in general, which leads to a more complex design process. The tracker is synthesised based on a fuzzy Lyapunov function approach and non-parallel distributed compensation (non-PDC) scheme. Using the descriptor redundancy approach, the robust stability conditions are derived in the form of strict linear matrix inequalities (LMIs) even in the presence of uncertainties in the system, input, and output matrices simultaneously. Numerical simulations are provided to show the effectiveness of the proposed method.

Date: 2015
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DOI: 10.1080/00207721.2014.884252

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