Dynamic modeling and vibration control for a nonlinear 3‐dimensional flexible manipulator

In the previous chapters, modeling and vibration control of the flexible mechanical systems are restricted to one dimensional space, and only transverse deformation is taken into account. However, flexible systems may move in a three-dimensional (3D) space in practical applications. The control performance will be affected if the coupling effects between motions in three directions are ignored. In spatial and industrial environment, flexible manipulators have been widely used due to their advantages such as light weight, fast motion and low energy consumption [3, 7]. For dynamic analysis, the flexible manipulator system is regarded as a distributed parameter system (DPS) which is mathematically represented by partial differential equations (PDEs) and ordinary differential equations (ODEs) [2, 5, 8], however, these works are only considered in one dimensional space. To improve accuracy and reliability analysis, modeling and control of the flexible manipulator system in a 3D space is necessary. Therefore, several works have been done in dynamics modeling and control design when the coupling effect are taken into account.

[1]  Wei He,et al.  Vibration Control of a Flexible Robotic Manipulator in the Presence of Input Deadzone , 2017, IEEE Transactions on Industrial Informatics.

[2]  Wei He,et al.  Partial differential equation boundary control of a flexible manipulator with input saturation , 2017, Int. J. Syst. Sci..

[3]  Jun Huang,et al.  Design of Robust Adaptive Neural Switching Controller for Robotic Manipulators with Uncertainty and Disturbances , 2014, Journal of Intelligent & Robotic Systems.

[4]  Jinkun Liu,et al.  Boundary control for a flexible manipulator based on infinite dimensional disturbance observer , 2015 .

[5]  Miroslav Krstic,et al.  PDE Boundary Control for Flexible Articulated Wings on a Robotic Aircraft , 2013, IEEE Transactions on Robotics.

[6]  Shuzhi Sam Ge,et al.  Improving regulation of a single-link flexible manipulator with strain feedback , 1998, IEEE Trans. Robotics Autom..

[7]  Yu Liu,et al.  Boundary control of an axially moving accelerated/decelerated belt system , 2016 .

[8]  Brigitte d'Andréa-Novel,et al.  Exponential stabilization of an overhead crane with flexible cable via a back-stepping approach , 2000, Autom..

[9]  Chun Zhang,et al.  Discrete-Time Sliding-Mode Switching Control Scheme With Disturbance Observer and Its Application to Superheated Steam Temperature Systems , 2016 .

[10]  Wei He,et al.  Modeling and vibration control of a flexible aerial refueling hose with variable lengths and input constraint , 2017, Autom..

[11]  Fumitoshi Matsuno,et al.  Force control and exponential stabilisation of one-link flexible arm , 2014, Int. J. Control.

[12]  K. Hong,et al.  Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control , 2010 .

[13]  Ö. Morgül.  Dynamic boundary control of a Euler-Bernoulli beam , 1992 .

[14]  Xinwu Liang,et al.  Shape Detection Algorithm for Soft Manipulator Based on Fiber Bragg Gratings , 2016, IEEE/ASME Transactions on Mechatronics.

[15]  Shuzhi Sam Ge,et al.  Top Tension Control of a Flexible Marine Riser by Using Integral-Barrier Lyapunov Function , 2015, IEEE/ASME Transactions on Mechatronics.

[16]  Khac Duc Do,et al.  Boundary control of three-dimensional inextensible marine risers , 2009 .

[17]  Khac Duc Do,et al.  Boundary control of coupled nonlinear three dimensional marine risers , 2013 .

[18]  Basil Kouvaritakis,et al.  Optimizing prediction dynamics for robust MPC , 2005, IEEE Transactions on Automatic Control.

[19]  Warren E. Dixon,et al.  Adaptive boundary control of store induced oscillations in a flexible aircraft wing , 2016, Autom..

[20]  Shuang Zhang,et al.  Control Design for Nonlinear Flexible Wings of a Robotic Aircraft , 2017, IEEE Transactions on Control Systems Technology.

[21]  Wei He,et al.  Adaptive boundary control of a flexible manipulator with input saturation , 2016, Int. J. Control.

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

[23]  Huai-Ning Wu,et al.  Fuzzy output tracking control of semi-linear first-order hyperbolic PDE systems with matched perturbations , 2014, Fuzzy Sets Syst..

[24]  Zhijia Zhao,et al.  Adaptive boundary control of an axially moving belt system with high acceleration/deceleration , 2016 .

[25]  Bao-Zhu Guo,et al.  Dynamic stabilization of an Euler-Bernoulli beam equation with time delay in boundary observation , 2009, Autom..

[26]  Miroslav Krstic,et al.  Boundary observer design for hyperbolic PDE-ODE cascade systems , 2016, Autom..

[27]  K. Hong,et al.  Robust adaptive boundary control of an axially moving string under a spatiotemporally varying tension , 2004 .

[28]  Chao Wang,et al.  Three-Dimensional Dynamics for Cable-Driven Soft Manipulator , 2017, IEEE/ASME Transactions on Mechatronics.

[29]  K. D. Do,et al.  Boundary control of transverse motion of marine risers with actuator dynamics , 2008 .

[30]  Shuzhi Sam Ge,et al.  Vibration Control of a Flexible Beam With Output Constraint , 2015, IEEE Transactions on Industrial Electronics.

[31]  H. Diken,et al.  Vibration Control of a Rotating EULER-BERNOULLI Beam , 2000 .

[32]  Shuzhi Sam Ge,et al.  Adaptive Control of a Flexible Crane System With the Boundary Output Constraint , 2014, IEEE Transactions on Industrial Electronics.

[33]  Wei He,et al.  Active vibration control of a nonlinear three-dimensional Euler–Bernoulli beam , 2017 .

[34]  Keum-Shik Hong,et al.  Boundary control of container cranes from the perspective of controlling an axially moving string system , 2009 .

[35]  N. U. Ahmed,et al.  Stabilization of a class of hybrid systems arising in flexible spacecraft , 1986 .

[36]  Shuzhi Sam Ge,et al.  Cooperative control of a nonuniform gantry crane with constrained tension , 2016, Autom..