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Zhang, Y. (1996) Solving Large-Scale Linear Programs by Interior-Point Methods under the Matlab Environment, Tech. rep., Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore.

has been cited by the following article:

• 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.