Stabilization of nonlinear systems subject to actuator saturation

This paper addresses the stabilization of nonlinear systems described by Takagi-Sugeno models affected by input actuator saturation. A parallel distributed compensation design is used for the state feedback controller. Stabilization conditions in the sense of the Lyapunov method are derived and expr...

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Bibliographic Details
Published in2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) pp. 1 - 6
Main Authors Bezzaoucha, Souad, Marx, Benoit, Maquin, Didier, Ragot, Jose
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2013
Subjects
actuator saturation
Actuators
Equations
Mathematical model
Nonlinear systems
parallel distributed compensation control law
State feedback
Takagi-Sugeno model
Takagi-Sugeno systems
Vectors
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Summary:This paper addresses the stabilization of nonlinear systems described by Takagi-Sugeno models affected by input actuator saturation. A parallel distributed compensation design is used for the state feedback controller. Stabilization conditions in the sense of the Lyapunov method are derived and expressed as a linear matrix inequality problem. The obtained gains depend on the actuator saturation limits. A cart-pendulum example is presented to illustrate the effectiveness of the proposed approach.
ISSN:1098-7584
DOI:10.1109/FUZZ-IEEE.2013.6622399