WCSE 2015
ISBN: 978-981-09-5471-0 DOI: 10.18178/wcse.2015.04.003

Fuzzy-PID Controller Optimization: A Differential Evolution Approach

Ana Sebastião, Luís Palma, Alberto Cardoso, Paulo Gil

Abstract— This paper addresses the problem of Fuzzy Proportional-Integral-Derivative control tuning based on a differential evolution technique. Two different constrained optimisation approaches are considered. One where solely the controller scaling factors are adjusted, and another for which both the scaling factors and membership functions width are optimised. The cost function is expressed in terms of the system closed loop performance, with the plant dynamics described by a nonlinear model. The formulation includes a set of constraints, namely bounds on scaling factors, control actions and on the system outputs. For the second approach additional constraints for the membership functions width are also considered. Experimental results carried out on a Multi-Input Multi-Output benchmark system favour the optimisation of both gains and membership functions width.

Index Terms— Fuzzy PID Control, Tuning, Constrained Nonlinear Optimisation, Differential Evolution.

Ana Sebastião, Luís Palma, Paulo Gil
Department o de Engenharia Electrotéctica, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, PORTIGAL
Luís Palma, Paulo Gil
Alberto Cardoso, Paulo Gil
CISUC, Dep. of Informatics Engineering, FCTUC, PORTIGAL


Cite: Ana Sebastião, Luís Palma, Alberto Cardoso, Paulo Gil, "Fuzzy-PID Controller Optimization: A Differential Evolution Approach," 2015 The 5th International Workshop on Computer Science and Engineering-Information Processing and Control Engineering (WCSE 2015-IPCE), pp. 14-19, Moscow, Russia, April 15-17, 2015.