Fractional order PID control of a motion platform

In this paper, the fractional order PID (FOPID) control scheme of a 3-axis motion platform is proposed. Firstly, a mathematical model of the 3-axis motion platform is derived, then a control law is developed to track the angular position. Tuned FOPID controller is compared with classic PID controller (IOPID). The simulation results are provided to verify the efficiency and correctness of the proposed control algorithm.

[1]  Yan Hua Wang,et al.  Control Research of Three-Axis Turntable Based on Neural Network Inverse System , 2013 .

[2]  I. Podlubny,et al.  On fractional derivatives, fractional-order dynamic systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[3]  Li Hua Liang,et al.  Research on Moment Coupling and Compensation Control of Three-Axis Ship Motion Simulation Turntable , 2009 .

[4]  Naeim Farouk,et al.  Modeling, Design and Control of a Ship Carried 3 DOF Stabilized Platform , 2012 .

[5]  I. Podlubny,et al.  On Fractional Derivatives, Fractional-Order Dynamic Systems and PIW-controllers , 1997 .

[6]  Wang Junzheng,et al.  Cross-Coupled Control for Three-Axis Turntable Target Tracking System , 2006, 2007 Chinese Control Conference.

[7]  M. Omizo,et al.  Modeling , 1983, Encyclopedic Dictionary of Archaeology.

[8]  N. Nagarajan,et al.  Modeling and robust adaptive control of a 3-axis motion simulator , 2001, Conference Record of the 2001 IEEE Industry Applications Conference. 36th IAS Annual Meeting (Cat. No.01CH37248).

[9]  Zhen Bi Li,et al.  Decoupling Control for Three Degrees of Freedom Servo System Based on Neural Network , 2013 .

[10]  Dingyu Xue,et al.  PRACTICAL TUNING OF FRACTIONAL ORDER PROPORTIONAL AND INTEGRAL CONTROLLER (I): TUNING RULE DEVELOPMENT , 2007 .

[11]  Li-Hua Liang,et al.  Research on System of Three-Axis Swing Turntable Based on Robust Compensation Control , 2011, 2011 3rd International Workshop on Intelligent Systems and Applications.

[12]  Duarte Valério,et al.  TUNING-RULES FOR FRACTIONAL PID CONTROLLERS , 2006 .

[13]  Sepehr P. Khaligh,et al.  Modeling and optimal control of a 3-axis motion simulator , 2007 .

[14]  J. J. van Dixhoorn,et al.  Three-axis platform simulation: Bond graph and Lagrangian approach , 1979 .

[15]  S. Leghmizi,et al.  Takagi-Sugeno Fuzzy Controller for a 3-DOF Stabilized Platform with Adaptive Decoupling Scheme , 2011 .