A Flatness Based Approach to Trajectory Modification of Residual Motion of Cable Transporter Systems

As high-rise buildings continue to grow, the design and control of elevators to transport passengers safely, quickly, and comfortably still remains a challenging problem. An important issue in ‘elevatoring’ is to transport passengers with minimal residual motion once the elevator has reached its destination floor. A simple and elegant solution of the residual motion control problem can be given using the theory of δ-flatness. First, we present modeling and residual motion control with non-negative inputs of a cable transporter system, consisting of a rigid body (the object) connected by two flexible ropes. Then, we present results for a special case of the general transporter problem, the residual motion control of elevator. A laboratory scale experimental demonstration of the residual motion control is also presented in this paper.

[1]  M. Yadin,et al.  Optimal control of elevators , 1977 .

[2]  Darren M. Dawson,et al.  Adaptive Boundary Control of Out-of-Plane Cable Vibration , 1998 .

[3]  Seung-Ki Sul,et al.  Vertical-vibration control of elevator using estimated car acceleration feedback compensation , 2000, IEEE Trans. Ind. Electron..

[4]  Christos G. Cassandras,et al.  Optimal dispatching control for elevator systems during uppeak traffic , 1997, IEEE Trans. Control. Syst. Technol..

[5]  Pierre Rouchon,et al.  Controllability and motion planning for linear delay systems with an application to a flexible rod , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[6]  Leonard M. Joseph,et al.  The World's Tallest Buildings , 1997 .

[7]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[8]  C. D. Mote,et al.  On Time Delay in Noncolocated Control of Flexible Mechanical Systems , 1992 .

[9]  Weidong Zhu,et al.  Active control of a traveling medium with varying length , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[10]  Sunil K. Agrawal,et al.  Trajectory Planning of Differentially Flat Systems with Dynamics and Inequalities , 2000 .

[11]  Y. M. Cho,et al.  Identification and control of high-rise elevators , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[12]  S. K. Agrawal,et al.  A computational approach for time-optimal planning of high-rise elevators , 2000, Proceedings of the 2000. IEEE International Conference on Control Applications. Conference Proceedings (Cat. No.00CH37162).

[13]  R. Murray,et al.  Real‐time trajectory generation for differentially flat systems , 1998 .

[14]  Zhihua Qu,et al.  Robust and adaptive boundary control of a stretched string on a moving transporter , 2001, IEEE Trans. Autom. Control..

[15]  Sunil Kumar Agrawal,et al.  A computational approach for time-optimal planning of high-rise elevators , 2002, IEEE Trans. Control. Syst. Technol..

[16]  R. Roberts Control of high-rise/high-speed elevators , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[17]  Weidong Zhu,et al.  Energetics and Stability of Translating Media with an Arbitrarily Varying Length , 2000 .