Title: Design of a multiple linear models-based PID controller

Authors: Shinichi Imai; Toru Yamamoto

Addresses: Department of Electronic Control Engineering, Hiroshima National College of Maritime Technology, 4272-1, Higashino, Osakikamijima-Cyo, Toyota-Gun, Hiroshima 725-0231, Japan ' Division of Electrical, Systems and Mathematical Engineering, Faculty of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, Hiroshima, 739-8527, Japan

Abstract: Almost real-world plants are represented by non-linear systems. Therefore, it is important to consider PID control schemes to cope with such systems. In this paper, a PID control method for non-linear systems is newly proposed. Some local linear models on typical equilibrium points are first designed, followed by linear PID controllers corresponding to these models. The distances between the query and these local models are calculated, and the weights are computed in proportion to the distances. These weights are put for local PID controllers, and the PID controller corresponding to the query can be designed. According to the proposed scheme, the good PID control performance can be easily obtained. The effectiveness of the PID control scheme is illustrated by some simulation examples and experiment.

Keywords: local linear models; PID control; self-tuning control; pole assignment; nonlinear systems; simulation.

DOI: 10.1504/IJAMECHS.2012.051575

International Journal of Advanced Mechatronic Systems, 2012 Vol.4 No.3/4, pp.141 - 148

Published online: 30 Aug 2014 *

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