An algorithm for the optimal tuning of fuzzy PID controllers on precision measuring device

Abstract

A new computability methodology was proposed for the fuzzy proportional integral derivative (PID) controllers based on the theoretical fuzzy analysis and the downhill simplex optimization. The paper analyzes the algorithm of downhill simplex searching of the optimization objective functions. The input and objective function of downhill factors were selected for constructing optimal decision rules for the fuzzy logic controller. An optimizer was built around the simplex algorithm that it minimized a simplex within an N-dimensional. The sampling rate is 0.1 and the controllers are implemented under a 0.5 second time delay. The simulation confirmed the viability of the algorithm in its effectiveness of the adaptive fuzzy logic controller. © Springer-Verlag 2004.