Gain-scheduled Takagi-Sugeno fuzzy PI control methodology for LPV systems

Authors:
Joabe Silva;Ginalber Serra
Affiliations:
Federal Institute of Education, Science and Technology-IFMA, So Lus-MA, Brazil;Federal Institute of Education, Science and Technology-IFMA, So Lus-MA, Brazil
Venue:
CIRA'09 Proceedings of the 8th IEEE international conference on Computational intelligence in robotics and automation
Year:
2009

Citing 4
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Abstract

This work proposes a theoretical approach of gainscheduled fuzzy PI control design based on gain and phase margins specifications for LPV (Linear and Parameters Varying) systems, in the continuous time domain. A mathematical formulation from the Takagi-Sugeno fuzzy model structure as well as the PDC (Parallel Distributed Compensation) strategy is developed. Analytical formulas are deduced for the PI subcontrollers parameters, in the robust fuzzy controller rules base, according to the fuzzy model parameters of the LPV plant to be controlled. Results of the necessary and sufficient conditions for the fuzzy controller design, from the proposed robust methodology, with one Axiom and two Theorems are also presented.