Cross-Coupled Model Predictive Control for Multi-axis Coordinated Motion Systems

A cross-coupled model predictive controller formulti-axis coordinated motion systems is presented by incorporating cross-coupled strategy into the model predictive control architecture. The control law is generated by minimizing a cost function for the augmented system model in which the synchronization errors are embedded. Simulation and experimental results conducted on a high-precision positioning system with two permanent magnet linear motors (PMLMs) demonstrate the effectiveness of the proposed approach.

[1]  David W. Clarke,et al.  Generalized Predictive Control - Part II Extensions and interpretations , 1987, Autom..

[2]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[3]  Yoram Koren,et al.  MOTION CONTROL ANALYSIS OF A MOBILE ROBOT , 1987 .

[4]  M.E.H. Benbouzid,et al.  Multivariable state-space CGPC application to induction motor control , 1997, Proceedings of the IECON'97 23rd International Conference on Industrial Electronics, Control, and Instrumentation (Cat. No.97CH36066).

[5]  Yoram Koren,et al.  Variable-Gain Cross-Coupling Controller for Contouring , 1991 .

[6]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[7]  E. Camacho,et al.  Generalized Predictive Control , 2007 .

[8]  K. Zhu,et al.  Cross-coupling design of generalized predictive control with reference models , 2001 .

[9]  Jay H. Lee,et al.  Model predictive control: past, present and future , 1999 .

[10]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[11]  Kay Soon Low,et al.  Evaluating generalized predictive control for a brushless DC drive , 1998 .

[12]  William Shepherd,et al.  Long-range predictive control of current regulated PWM for induction motor drives using the synchronous reference frame , 1996, IEEE Trans. Control. Syst. Technol..

[13]  J. Borenstein,et al.  Cross-coupling motion controller for mobile robots , 1993, IEEE Control Systems.

[14]  Michel Kinnaert,et al.  Adaptive generalized predictive controller for MIMO systems , 1989 .

[15]  Masayoshi Tomizuka,et al.  Coordinated Position Control of Multi-Axis Mechanical Systems , 1998 .

[16]  K. Srinivasan,et al.  Cross-Coupled Control of Biaxial Feed Drive Servomechanisms , 1990 .

[17]  Dong Sun,et al.  Adaptive synchronized control for coordination of multirobot assembly tasks , 2002, IEEE Trans. Robotics Autom..

[18]  Lee Tong Heng,et al.  Precision Motion Control: Design and Implementation , 2008 .

[19]  Syh-Shiuh Yeh,et al.  Analysis and design of integrated control for multi-axis motion systems , 2003, IEEE Trans. Control. Syst. Technol..