Boundary control for a flexible manipulator with a robust state observer

In this paper, a boundary controller for a flexible manipulator is proposed based on a partial differential equation (PDE) robust observer. In the previous work we have proposed a PDE robust observer to estimate the infinite dimensional states of the flexible manipulator with unknown boundary disturbance and spatially distributed disturbance. On the basis of the proposed robust state observer, a boundary controller is designed to achieve the stability control, regulate the joint position and suppress elastic vibration in this paper. The stabilities of the proposed observer and the boundary controller are validated by theoretical analysis. Numerical simulations are provided to demonstrate the effectiveness of the closed-loop system.

[1]  Bruno Siciliano,et al.  Tracking control of flexible robot arms , 1997, 1997 European Control Conference (ECC).

[2]  S. S. Ge,et al.  Dynamic Modeling of a Smart Materials Robot , 1998 .

[3]  L. Meirovitch,et al.  Fundamentals of Vibrations , 2000 .

[4]  Christopher D. Rahn,et al.  Mechatronic control of distributed noise and vibration , 2001 .

[5]  Tu Duc Nguyen,et al.  Output tracking control of a flexible robot arm , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[6]  Tu Duc Nguyen,et al.  Observer design for a flexible robot arm with a tip load , 2005, Proceedings of the 2005, American Control Conference, 2005..

[7]  Xiaoping Zhang,et al.  PDE modeling and control of a flexible two-link manipulator , 2005, IEEE Transactions on Control Systems Technology.

[8]  Peter Eberhard,et al.  DYNAMIC ANALYSIS OF FLEXIBLE MANIPULATORS, A LITERATURE REVIEW , 2006 .

[9]  O. Sawodny,et al.  Observer design for a flexible manipulator model with a payload , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[10]  Concepción A. Monje,et al.  Tip position control of a lightweight flexible manipulator using a fractional order controller , 2007 .

[11]  Sung Jin Yoo,et al.  Output Feedback Dynamic Surface Control of Flexible-Joint Robots , 2008 .

[12]  Mohammad Eghtesad,et al.  Maneuver control and active vibration suppression of a two-link flexible arm using a hybrid variable structure/Lyapunov control design , 2010 .

[13]  Jonathan Becedas,et al.  Generalised proportional integral torque control for single-link flexible manipulators , 2010 .

[14]  Heidar Ali Talebi,et al.  Tracking control of flexible-link manipulators based on environmental force disturbance observer , 2010, 49th IEEE Conference on Decision and Control (CDC).

[15]  Shuzhi Sam Ge,et al.  Boundary control of a flexible marine installation system , 2011, 49th IEEE Conference on Decision and Control (CDC).

[16]  Shuzhi Sam Ge,et al.  Boundary Control of a Coupled Nonlinear Flexible Marine Riser , 2010, IEEE Transactions on Control Systems Technology.

[17]  Shuzhi Sam Ge,et al.  Boundary control of a flexible marine riser with vessel dynamics , 2010, Proceedings of the 2010 American Control Conference.

[18]  Linjun Zhang,et al.  Observer-based partial differential equation boundary control for a flexible two-link manipulator in task space , 2012 .

[19]  Jinkun Liu,et al.  Optimal trajectory control of flexible two-link manipulator based on PDE model , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[20]  M. Vakil,et al.  A New Method for Dynamic Modeling of Flexible-Link Flexible-Joint Manipulators , 2012 .

[21]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[22]  Mahdi Tavakoli,et al.  Nonlinear Disturbance Observer Design For Robotic Manipulators , 2013 .

[23]  Farzin Piltan,et al.  Design Sliding Mode Modified Fuzzy Linear Controller with Application to Flexible Robot Manipulator , 2013 .

[24]  Shuzhi Sam Ge,et al.  Dynamics and Control of Mechanical Systems in Offshore Engineering , 2013 .

[25]  Linjun Zhang,et al.  Adaptive boundary control for flexible two-link manipulator based on partial differential equation dynamic model , 2013 .

[26]  Jinkun Liu,et al.  A robust observer design for a flexible manipulator based on a PDE model , 2017 .