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Hybrid fuzzy proportional-integral plus conventional derivativecontrol of linear and nonlinear systems
Meng Joo Er; Ya Lei Sun
Industrial Electronics, IEEE Transactions on
Volume 48, Issue 6, Dec 2001 Page(s):1109 - 1117
Digital Object Identifier   10.1109/41.969389
Summary:This paper presents a new approach toward the optimal design of a hybrid proportional-integral-derivative (PID) controller applicable for controlling linear as well as nonlinear systems using genetic algorithms (GAs). The proposed hybrid PID controller is derived by replacing the conventional PI controller by a two-input normalized linear fuzzy logic controller (FLC) and executing the conventional D controller in an incremental form. The salient features of the proposed controller are as follows: (1) the linearly defined FLC can generate nonlinear output so that high nonlinearities of complex systems can be handled; (2) only one well-defined linear fuzzy control space is required for both linear and nonlinear systems; (3) optimal tuning of the controller gains is carried out by using a GA; and (4) it is simple and easy to implement. Simulation results on a temperature control system (linear system) and a missile model (nonlinear system) demonstrate the effectiveness and robustness of the proposed controller

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