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Linear Programming for Optimum PID Controller Tuning

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DOI: 10.4236/am.2014.56084    5,079 Downloads   6,773 Views   Citations


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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Oliveira, E. , Honorio, L. , Anzai, A. and Soares, T. (2014) Linear Programming for Optimum PID Controller Tuning. Applied Mathematics, 5, 886-897. doi: 10.4236/am.2014.56084.


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