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Nonlinear PID predictive controller

Gribble, J.J., Chen, W-H., and Ballance, D.J. (1999) Nonlinear PID predictive controller. IEE Proceedings: Control Theory and Applications, 146 (6). pp. 6103-611. ISSN 1350-2379

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Abstract

A new class of nonlinear PID controllers are derived for nonlinear systems using a nonlinear generalised predictive control (NGPC) approach. First, the disturbance decoupling ability of the NGPC is discussed. For a nonlinear system where the disturbance cannot be decoupled, a nonlinear observer is designed to estimate the offset. By selecting the nonlinear gain function in the observer, it is shown that the closed-loop system under optimal generalised predictive control with the nonlinear observer is asymptotically stable. It is pointed out that this composite controller is equivalent to a nonlinear controller with integral action. As a special case, for a nonlinear system with a low relative degree, the proposed nonlinear controller reduces to a nonlinear PI or PID predictive controller, which consists of a nonlinear PI or PID controller and a prediction controller. The design method is illustrated by an example nonlinear mechanical system

Item Type:Article
Keywords:non linear, PID, controller
Status:Published
Refereed:Yes
Glasgow Author(s):Ballance, Dr Donald
Authors: Gribble, J.J., Chen, W-H., and Ballance, D.J.
Subjects:T Technology > TJ Mechanical engineering and machinery
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Research Group:Systems and Control engineering
Journal Name:IEE Proceedings: Control Theory and Applications
ISSN:1350-2379
First Published:IEE

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