A delay independent stability criterion for fpPID controller

Authors:
Luis H. García I.;Jose F. Solís V.;Omar J. Santos S.;Ramón Soto C.
Affiliations:
Center for Research on Information Technologies and Systems, Autonomous University of Hidalgo State, Ciudad Universitaria, Pachuca, Hidalgo, México;Center for Research on Information Technologies and Systems, Autonomous University of Hidalgo State, Ciudad Universitaria, Pachuca, Hidalgo, México;Center for Research on Information Technologies and Systems, Autonomous University of Hidalgo State, Ciudad Universitaria, Pachuca, Hidalgo, México;Center for Research on Information Technologies and Systems, Autonomous University of Hidalgo State, Ciudad Universitaria, Pachuca, Hidalgo, México
Venue:
MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics
Year:
2005

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Abstract

The fpPID controller is a modified version of the well known PID controller, whose derivative component has been replaced by a fuzzy time series predictor. Such controller has shown good performance in simulation, but an important issue when modifying standard PID architecture is it's stability. In this paper we present delay independent conditions for fpPID controller stability. Such conditions were obtained using the LMI approach and the Lyapunov Krasovskii Theorem.