Linear Programming for Optimum PID Controller Tuning

作     者：Edimar J. Oliveira Leonardo M. Honorio Alexandre H. Anzai Tamara X. Soares 

作者机构：Federal University of Juiz de Fora Juiz de Fora Brazil 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2014年第5卷第6期

页      面：886-897页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Linear Programming Optimal Control Interior Point Method PID Tuning 

摘      要：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.