Design of optimal disturbance rejection PID controllers using genetic algorithms

Author

Krohling, Renato A. ; Rey, Joost P.

Volume

5

Issue

1

fYear

2001

fDate

2/1/2001 12:00:00 AM

Firstpage

78

Lastpage

82

Abstract

This paper presents a method to design an optimal disturbance rejection PID controller. First, a condition for disturbance rejection of a control system-H_∞-norm-is described. Second, the design is formulated as a constrained optimization problem. It consists of minimizing a performance index, i.e., the integral of the time weighted squared error subject to the disturbance rejection constraint. A new method employing two genetic algorithms (GA) is developed for solving the constraint optimization problem. The method is tested by a design example of a PID controller for a servomotor system. Simulation results are presented to demonstrate the performance and validity of the method

Keywords

H^∞ control; control system synthesis; genetic algorithms; minimisation; optimal control; performance index; stability; three-term control; GA; H_∞-norm; constrained optimization problem; genetic algorithms; optimal disturbance rejection PID controller design; performance index minimization; servomotor system; time weighted squared error; Constraint optimization; Control systems; Design methodology; Design optimization; Genetic algorithms; Optimal control; Performance analysis; Servomotors; System testing; Three-term control;

fLanguage

English

Journal_Title

Evolutionary Computation, IEEE Transactions on

Publisher

ieee

ISSN

1089-778X

Type

jour

DOI

10.1109/4235.910467

Filename

910467