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A parameter varying lyapunov function approach for tracking control for Takagi-Sugeno class of nonlinear systems

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3 Author(s)
Ezzeldin, M. ; Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands ; Jokic, A. ; van den Bosch, P.P.J.

A reference model tracking control technique for nonlinear systems based on the Takagi-Sugeno model is proposed. The control design synthesis is aimed to reduce the tracking error for all bounded reference inputs and disturbances and to guarantee ℒ2 gain performance. A nonlinear static output feedback controller is proposed to tackle this problem. Unlike the approaches using a single quadratic Lyapunov function, a parameter varying quadratic Lyapunov function is employed in our approach. The controller synthesis is formulated in terms of a feasibility problem of a set of linear matrix inequalities, which can be efficiently solved. A simulation example of a two-link robot system demonstrates the tracking performance and the validity of the proposed approach.

Published in:

Control and Automation (ICCA), 2010 8th IEEE International Conference on

Date of Conference:

9-11 June 2010