Rediseño Paramétrico del Pendubot para Posicionamiento Vertical en Tiempo Mínimo

A parametric redesign methodology of nonlinear systems for minimum-time control without constraints on the state trajectory and bounded control is proposed. This methodology states the optimum redesign problem as a dynamic optimization one. This methodology simultaneously finds both the structural parameters of the system and the switching intervals of the control signal which minimize the required time to take the system from an initial state to a final one. Experimental results applying the minimum-time control methodology and the parametric redesign methodology to the Pendubot are shown.

[1]  Arthur E. Ryson,et al.  Efficient Algorithm for Time-Optimal Control of a Two-Link Manipulator , 1990 .

[2]  Bong Wie,et al.  Minimum-time pointing control of a two-link manipulator , 1988 .

[3]  M. Eslami,et al.  Introduction to System Sensitivity Theory , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[4]  Wen-Jun Zhang,et al.  Integrated design of mechanical structure and control algorithm for a programmable four-bar linkage , 1999 .

[5]  S. A. Vakhrameev A bang-bang theorem with a finite number of switchings for nonlinear smooth control systems , 1997 .

[6]  A. Bryson,et al.  Optimal control of systems with hard control bounds , 1985 .

[7]  Arthur E. Bryson,et al.  Dynamic Optimization , 1998 .

[8]  Jahng-Hyon Park,et al.  Concurrent Design Optimization of Mechanical Structure and Control for High Speed Robots , 1993, 1993 American Control Conference.

[9]  M. S. Bazaraa,et al.  Nonlinear Programming , 1979 .

[10]  Jianqiang Yi,et al.  Swing up pendubot with a GA-tuned bang-bang controller , 2003, IEEE International Conference on Robotics, Intelligent Systems and Signal Processing, 2003. Proceedings. 2003.

[11]  Nader Sadegh,et al.  Minimum Time Trajectory Optimization and Learning , 1999 .

[12]  Andres Castano,et al.  Mechanical design of a module for reconfigurable robots , 2000, Proceedings. 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No.00CH37113).

[13]  Rogelio Lozano,et al.  Energy based control of the Pendubot , 2000, IEEE Trans. Autom. Control..

[14]  Long Chen,et al.  Design for control: A concurrent engineering approach for mechatronic systems design , 2001 .

[15]  Ke Fu,et al.  Convex integrated design (CID) method and its application to the design of a linear positioning system , 2005, IEEE Transactions on Control Systems Technology.

[16]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[17]  Katsuhiko Ogata,et al.  Ingeniería de control moderna , 1980 .