Enhancement of Fuzzy PID Controller with Fractional Calculus

Part of the Studies in Computational Intelligence book series (SCI, volume 438)

Abstract

The integer order fuzzy Proportional-Integral-Derivative (PID) controller has been generalized in this chapter to include fractional order derivative and integrals. It works on the closed loop error and its fractional derivative as the input and has a fractional integrator in its output. Other fractional variants of the integer order fuzzy logic controller are also briefly introduced. The fractional order differ-integrations in the proposed fuzzy logic controller (FLC) are kept as design variables along with the input-output scaling factors (SF) and are optimized with Genetic Algorithm (GA) while minimizing several integral error indices along with the control signal as the objective function. Simulations studies are carried out to control a delayed nonlinear process and an open loop unstable process with time delay. The closed loop performances and controller efforts in each case are compared with conventional PID, fuzzy PID and PI λ D μ controller subjected to different integral performance indices. Simulation results show that the proposed fractional order fuzzy PID controller outperforms the others in most cases.

Keywords

Particle Swarm Optimization Fractional Order Fractional Calculus Fuzzy Logic Controller Load Disturbance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Power EngineeringJadavpur UniversityKolkataIndia

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