Analysis of Speed Control of Separately Excited DC Motor Using FOPID with LQR

2 Abstract: This paper presents a simulation and performance analysis of speed control of brushless DC motor using FOPID with LQR. DC motor is widely used in industries even if its maintenance cost is higher than the induction motor. Speed control of DC motor is attracted considerable research and several methods are evolved. The LQR controller is the very commonly used compensating controller. This paper presents a comparison of time response specification between conventional Fractional order Proportional- Integral-Derivatives (FOPID) controller and Linear Quadratic Regulator (LQR) for a speed control of a separately excited DC motor. A class of fractional order systems having single non-integer order element which show highly sluggish and oscillatory open loop responses have been tuned with an LQR based FOPID controller. The goal is to determine which control strategy delivers better performance with respect to DC motor"s speed. Performance of these controllers has been verified through simulation using MATLAB/SIMULINK software package. According to the simulation results, liner quadratic regulator method gives the better performance, such as settling time, steady state error and overshoot compared to FOPID controller. This shows the superiority of liner quadratic regulator method over FOPID controller.

[1]  Rey-Chue Hwang,et al.  Optimal PID speed control of brush less DC motors using LQR approach , 2004, 2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583).

[2]  Aamir Hashim Obeid Ahmed.  Optimal Speed Control for Direct Current Motors Using Linear Quadratic Regulator , 2013 .

[3]  N. Barakat,et al.  Speed control of a DC motor using a feedforward computed torque control scheme , 1996, Proceedings of the 1996 IEEE International Symposium on Intelligent Control.

[4]  Jih-Gau Juang,et al.  PID Control Using Presearched Genetic Algorithms for a MIMO System , 2008, IEEE Trans. Syst. Man Cybern. Part C.

[5]  James B. Rawlings,et al.  Constrained linear quadratic regulation , 1998, IEEE Trans. Autom. Control..

[6]  Bing-Gang Cao,et al.  Design of Fractional Order Controller Based on Particle Swarm Optimization , 2006 .

[7]  Imam Robandi,et al.  Optimal feedback control design using genetic algorithm in multimachine power system , 2001 .

[8]  Ajith Abraham,et al.  Design of fractional order PIλDμ controllers with an improved differential evolution , 2008, GECCO '08.

[9]  A.A. El-Samahy.  Speed control of DC motor using adaptive variable structure control , 2000, 2000 IEEE 31st Annual Power Electronics Specialists Conference. Conference Proceedings (Cat. No.00CH37018).

[10]  Mohd Ashraf Ahmad,et al.  PERFORMANCE COMPARISON BETWEEN LQR AND PID CONTROLLERS FOR AN INVERTED PENDULUM SYSTEM , 2008 .

[11]  Ajith Abraham,et al.  Design of fractional-order PIlambdaDµ controllers with an improved differential evolution , 2009, Eng. Appl. Artif. Intell..

[12]  S. Yuvarajan,et al.  Fuzzy-logic DC-motor controller with improved performance , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).