Adaptive robust contour tracking of machine tool feed drive systems-a task coordinate frame approach

We show that contouring performance can be viewed as a regulation problem in a curvilinear task coordinate frame that is attached to the desired contour. By transforming the machine tool feed drive dynamics to this task coordinate frame, an adaptive robust control (ARC) law is derived to improve the contouring performance under system parameter variation and bounded disturbances. The resulting control law is in essence a time varying PID control law with built in integral anti-windup. The effectiveness of the proposed control law is demonstrated through the simulated control of an industrial CNC machine tool feed drive system.

[1]  Jui-Jen Chou,et al.  Command Generation for Three-Axis CNC Machining , 1991 .

[2]  Jui-Jen Chou,et al.  On the Generation of Coordinated Motion of Five-Axis CNC/CMM Machines , 1992 .

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

[4]  K. Srinivasan,et al.  Optimal Contouring Control of Multi-Axial Feed Drive Servomechanisms , 1989 .

[5]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[6]  Masayoshi Tomizuka,et al.  Trajectory Planning for High Speed Multiple Axis Contouring Systems , 1989, 1989 American Control Conference.

[7]  Bin Yao,et al.  Adaptive Robust Control of Nonlinear Systems with Application to Control of Mechanical Systems , 1996 .

[8]  Yoram Koren,et al.  Cross-Coupled Biaxial Computer Control for Manufacturing Systems , 1980 .

[9]  Masayoshi Tomizuka,et al.  Robust motion controller design for high-accuracy positioning systems , 1996, IEEE Trans. Ind. Electron..

[10]  Yoram Koren,et al.  Advanced Controllers for Feed Drives , 1992 .

[11]  M. Uchiyama,et al.  Symmetric Hybrid Position/force Control Of Two Cooperating Robot Manipulators , 2002, IEEE International Workshop on Intelligent Robots.

[12]  K. Srinivasan,et al.  Multivariable Analysis and Controller Design for Coordinated Multi-Axial Motion Control , 1988, 1988 American Control Conference.

[13]  Masayoshi Tomizuka,et al.  Synchronization of Two Motion Control Axes Under Adaptive Feedforward Control , 1990 .

[14]  M. Tomizuka,et al.  Reference Input Generation for High Speed Coordinated Motion of a Two Axis System , 1991 .

[15]  Masayoshi Tomizuka,et al.  Smooth robust adaptive sliding mode control of manipulators with guaranteed transient performance , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[16]  J. R. Ragazzini,et al.  A 2-dimensional feedback control system , 1957, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[17]  Masayoshi Tomizuka,et al.  Zero Phase Error Tracking Algorithm for Digital Control , 1987 .

[18]  Masayoshi Tomizuka,et al.  Adaptive Robust Control of a Class of Multivariable Nonlinear Systems , 1996 .

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

[20]  M. Tomizuka,et al.  Adaptive robust control of MIMO nonlinear systems with guaranteed transient performance , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[21]  Yoram Koren,et al.  Evaluation of Servo-Controllers for Machine Tools , 1992, 1992 American Control Conference.

[22]  H. Kaufman,et al.  Feedrate Optimization for Machine Tool Control Subject to Contour Error Constraints , 1989, 1989 American Control Conference.