Fuzzy PID control of a two-link flexible manipulator

For a flexible manipulator system, the unwanted vibrations deteriorate usually the performance of the system due to the coupling of large overall motion and elastic vibration. This paper focuses on the active vibration control of a two-link flexible manipulator with piezoelectric materials. The multi flexible body dynamics (MFBD) model of the two-link flexible manipulator attached with piezoelectric sensors and actuators is established firstly. Based on the absolute nodal coordinate formulation (ANCF), the motion equations of the manipulator system are derived and motion process and dynamic responses of the system are simulated. According to the time varying feature of system, a fuzzy PID controller is developed to depress the vibration. This controller can tune control gains online accommodating to the variation of the system. Control results obtained by the fuzzy PID control and the conventional PID control indicate that the fuzzy PID controller can effectively suppress the elastic vibration of the manipulator system and performs better than the conventional PID controller.

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

[2]  Seung-Bok Choi,et al.  Compliant control of a two-link flexible manipulator featuring piezoelectric actuators , 2001 .

[3]  Sheng-dun Zhao,et al.  Application of self-tuning fuzzy PID controller for a SRM direct drive volume control hydraulic press , 2009 .

[4]  Liu Ming,et al.  Dynamic Modelling and Trajectory Tracking of Parallel Manipulator with Flexible Link , 2013 .

[5]  Jun Sergio Ono Fonseca,et al.  Simultaneous control and piezoelectric insert optimization for manipulators with flexible link , 2009 .

[6]  Ashitava Ghosal,et al.  Comparison of the Assumed Modes and Finite Element Models for Flexible Multilink Manipulators , 1995, Int. J. Robotics Res..

[7]  P.K.C. Wang,et al.  Vibrations in a moving flexible robot arm , 1987 .

[8]  Andrew Walker,et al.  modeling of flexible beams for robotic manipulators , 2014 .

[9]  Mehmet Karaköse,et al.  Design and simulation of self-tuning PID-type fuzzy adaptive control for an expert HVAC system , 2009, Expert Syst. Appl..

[10]  M. O. Tokhi,et al.  Command shaping techniques for vibration control of a flexible robot manipulator , 2004 .

[11]  Jianda Han,et al.  Active vibration control of a flexible beam using a non-collocated acceleration sensor and piezoelectric patch actuator , 2009 .

[12]  Shui-Shong Lu,et al.  Experiments on the position control of a one-link flexible robot arm , 1987, 26th IEEE Conference on Decision and Control.

[13]  Guanrong Chen,et al.  Fuzzy PID controller: Design, performance evaluation, and stability analysis , 2000, Inf. Sci..

[14]  Osman Tokhi,et al.  Adaptive closed-loop control of a single-link flexible manipulator , 2013 .

[15]  Hong Hee Yoo,et al.  DYNAMIC ANALYSIS OF A ROTATING CANTILEVER BEAM BY USING THE FINITE ELEMENT METHOD , 2002 .

[16]  L. Meirovitch,et al.  Optimal vibration control of flexible spacecraft during a minimum-time maneuver , 1988 .

[17]  Afshin Ahmadi Nadooshan,et al.  Dynamic Modeling of Tow Flexible Link Manipulators , 2008 .

[18]  Di Wu,et al.  Feedback linearization-based self-tuning fuzzy proportional integral derivative control for atmospheric pressure simulator , 2014, J. Syst. Control. Eng..

[19]  Pavel Trivailo,et al.  Decentralized vibration control of a multi-link flexible robotic manipulator using smart piezoelectric transducers , 2014 .

[20]  Seung-Bok Choi,et al.  Position control of a two-link flexible manipulator featuring piezoelectric actuators and sensors , 2001 .

[21]  A. Eiber,et al.  Dynamics of Multibody Systems , 2006 .

[22]  Wayne J. Book,et al.  A linear dynamic model for flexible robotic manipulators , 1987 .

[23]  Kyoung Kwan Ahn,et al.  Online self-tuning fuzzy proportional—integral—derivative control for hydraulic load simulator , 2008 .

[24]  Aleksandar Simonović,et al.  Free vibration control of smart composite beams using particle swarm optimized self-tuning fuzzy logic controller , 2014 .