TITLE:
Linear Programming for Optimum PID Controller Tuning
AUTHORS:
Edimar J. Oliveira, Leonardo M. Honorio, Alexandre H. Anzai, Tamara X. Soares
KEYWORDS:
Linear Programming, Optimal Control, Interior Point Method, PID Tuning
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.6,
April
8,
2014
ABSTRACT:
This work presents a new
methodology based on Linear Programming (LP) to tune Proportional-Integral-Derivative
(PID) control parameters. From a specification of a desired output time domain
of the plant, a linear optimization system is proposed to adjust the PID
controller leading the output signal to stable operation condition with minimum
oscillations. The constraint set used in the optimization process is defined by
using numerical integration approach. The generated optimization problem is
convex and easily solved using an interior point algorithm. Results obtained
using familiar plants from literature have shown that the proposed linear
programming problem is very effective for tuning PID controllers.