A fast stable control strategy based on system energy for a planar single-link flexible manipulator

被引:36
作者
Meng, Qing-Xin [1 ,2 ]
Lai, Xu-Zhi [1 ,2 ]
Wang, Ya-Wu [1 ,2 ]
Wu, Min [1 ,2 ]
机构
[1] China Univ Geosci, Sch Automat, Wuhan 430074, Hubei, Peoples R China
[2] Hubei Key Lab Adv Control & Intelligent Automat C, Wuhan 430074, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
Planar single-link flexible manipulator; Nonlinear system; Underactuated system; Vibration suppression; Online optimization; MODEL; BEAM;
D O I
10.1007/s11071-018-4380-1
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper presents a stable control strategy based on system energy for a Planar Single-Link Flexible Manipulator (PSLFM) to quickly realize its control objective, which is to move the flexible link to the target angle and to suppress the vibration of the flexible link. The PSLFM is a highly nonlinear and strongly coupled system, and it is also an underactuated system. In this paper, the PSLFM is assumed to be an Euler-Bernoulli beam, and its dynamic model is built by using the assumed mode method. According to the energy of the system and the control objective of the PSLFM, a Lyapunov function is constructed. Based on this function, a controller is designed to realize the control objective of the system. Meantime, an online optimization method based on Fuzzy-Genetic Algorithm (FGA) is presented to improve the performance of the system by optimizing the design parameter of the controller in every sampling period. The simulation results demonstrate the effectiveness of this fast stable control strategy.
引用
收藏
页码:615 / 626
页数:12
相关论文
共 22 条
[1]  
Azhdari A, 1991, NONLINEAR DYNAM, V2, P171
[2]   Active control of a flexible hub-beam system using optimal tracking control method [J].
Cai, Guo-Ping ;
Lim, C. W. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2006, 48 (10) :1150-1162
[3]  
De Luca A., 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), P233, DOI 10.1109/ROBOT.2000.844064
[4]   CLOSED-FORM DYNAMIC-MODEL OF PLANAR MULTILINK LIGHTWEIGHT ROBOTS [J].
DELUCA, A ;
SICILIANO, B .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1991, 21 (04) :826-839
[5]   Dynamic analysis of flexible manipulators, a literature review [J].
Dwivedy, Santosha Kumar ;
Eberhard, Peter .
MECHANISM AND MACHINE THEORY, 2006, 41 (07) :749-777
[6]   Nonlinear modeling and control of flexible-link manipulators subjected to parametric excitation [J].
El-Badawy, Ayman A. ;
Mehrez, Mohamed W. ;
Ali, Amir R. .
NONLINEAR DYNAMICS, 2010, 62 (04) :769-779
[7]   Neural Network Control of a Two-Link Flexible Robotic Manipulator Using Assumed Mode Method [J].
Gao, Hejia ;
He, Wei ;
Zhou, Chen ;
Sun, Changyin .
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2019, 15 (02) :755-765
[8]   Adaptive Boundary Control for a Flexible Manipulator With State Constraints Using a Barrier Lyapunov Function [J].
Jiang, Tingting ;
Liu, Jinkun ;
He, Wei .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2018, 140 (08)
[9]   Two-Time Scale Virtual Sensor Design for Vibration Observation of a Translational Flexible-Link Manipulator Based on Singular Perturbation and Differential Games [J].
Ju, Jinyong ;
Li, Wei ;
Wang, Yuqiao ;
Fan, Mengbao ;
Yang, Xuefeng .
SENSORS, 2016, 16 (11)
[10]   Control of an Underactuated Three-Link Passive-Active-Active Manipulator Based on Three Stages and Stability Analysis [J].
Lai, Xu-Zhi ;
Pan, Chang-Zhong ;
Wu, Min ;
Yang, Simon X. ;
Cao, Wei-Hua .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2015, 137 (02)