Output Feedback Stabilization for an Axially Moving System

This paper presents a framework of output feedback stabilization of an axially moving accelerated system influenced by exogenous disturbances. Based on the flexible-rigid coupled dynamical model of the system, a boundary output feedback control is developed to reduce the vibration and estimate the boundary disturbance by fusing Lyapunov’s synthetic approach, disturbance rejection theory, and observer technique. Under the developed control, the exponential convergence of system state observer errors and uniformly ultimately bounded stability of the controlled system can be demonstrated adopting rigorous theoretical analysis, and the control performance of the developed control method is verified by simulation results.

[1]  Huai-Ning Wu,et al.  Estimator-Based $H_\infty$ Sampled-Data Fuzzy Control for Nonlinear Parabolic PDE Systems , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Choon Ki Ahn,et al.  Robust Simultaneous Fault Estimation and Nonfragile Output Feedback Fault-Tolerant Control for Markovian Jump Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[3]  Cong Wang,et al.  Neural Learning Control of Marine Surface Vessels With Guaranteed Transient Tracking Performance , 2016, IEEE Transactions on Industrial Electronics.

[4]  Paul C.-P. Chao,et al.  Parametric control of an axially moving string via fuzzy sliding-mode and fuzzy neural network methods , 2003 .

[5]  Han-Xiong Li,et al.  Dynamic switching based fuzzy control strategy for a class of distributed parameter system , 2014 .

[6]  Wei Guo,et al.  Parameter Estimation and Non-Collocated Adaptive Stabilization for a Wave Equation Subject to General Boundary Harmonic Disturbance , 2013, IEEE Transactions on Automatic Control.

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

[8]  Fumitoshi Matsuno,et al.  Energy-based control of axially translating beams: varying tension, varying speed, and disturbance adaptation , 2005, IEEE Transactions on Control Systems Technology.

[9]  Tong Zhang,et al.  Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators , 2018, IEEE Transactions on Cybernetics.

[10]  Bao-Zhu Guo,et al.  Stabilization of an abstract second order system with application to wave equations under non-collocated control and observations , 2009, Syst. Control. Lett..

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

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

[13]  Changyin Sun,et al.  Boundary Vibration Control of Variable Length Crane Systems in Two-Dimensional Space With Output Constraints , 2017, IEEE/ASME Transactions on Mechatronics.

[14]  K. Hong,et al.  Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking , 2012 .

[15]  Miroslav Krstic,et al.  Nonlinear stabilization through wave PDE dynamics with a moving uncontrolled boundary , 2016, Autom..

[16]  Yu Liu,et al.  Modelling and control for a class of axially moving nonuniform system , 2017, Int. J. Syst. Sci..

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

[18]  Zhijia Zhao,et al.  Stabilization of an axially moving accelerated/decelerated system via an adaptive boundary control. , 2016, ISA transactions.

[19]  Changyin Sun,et al.  Neural Network Control of a Flexible Robotic Manipulator Using the Lumped Spring-Mass Model , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[20]  K. D. Do,et al.  Boundary stabilization of extensible and unshearable marine risers with large in-plane deflection , 2017, Autom..

[21]  Changyin Sun,et al.  Adaptive Neural Boundary Control Design for Nonlinear Flexible Distributed Parameter Systems , 2019, IEEE Transactions on Control Systems Technology.

[22]  Zhongke Shi,et al.  DOB-Based Neural Control of Flexible Hypersonic Flight Vehicle Considering Wind Effects , 2017, IEEE Transactions on Industrial Electronics.

[23]  Xin Chen,et al.  Deep Learning-Based Model Reduction for Distributed Parameter Systems , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[24]  Khac Duc Do,et al.  Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback , 2018 .

[25]  Zhijie Liu,et al.  Dynamic modeling and vibration control for a nonlinear 3‐dimensional flexible manipulator , 2018 .

[26]  Ömer Morgül,et al.  Boundary control of a rotating shear beam with observer feedback , 2012 .

[27]  Christopher D. Rahn,et al.  Adaptive vibration isolation for axially moving strings: theory and experiment , 2002, Autom..

[28]  Guang Li,et al.  Robust Adaptive Control of an Offshore Ocean Thermal Energy Conversion System , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[29]  Xingjian Wang,et al.  Teleoperation Control Based on Combination of Wave Variable and Neural Networks , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[30]  Zhijia Zhao,et al.  Output feedback boundary control of an axially moving system with input saturation constraint. , 2017, ISA transactions.

[31]  Shuzhi Sam Ge,et al.  Unified iterative learning control for flexible structures with input constraints , 2018, Autom..

[32]  Christopher D. Rahn,et al.  Adaptive vibration isolation for axially moving beams , 2000 .

[33]  Changyun Wen,et al.  Adaptive Backstepping Control of Uncertain Systems: Nonsmooth Nonlinearities, Interactions or Time-Variations , 2008 .

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

[35]  Yu Liu,et al.  Boundary Control for an Axially Moving System With Input Restriction Based on Disturbance Observers , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

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

[37]  K. D. Do,et al.  Stochastic boundary control design for extensible marine risers in three dimensional space , 2017, Autom..

[38]  Ali Tavasoli,et al.  Active disturbance rejection boundary control of Timoshenko beam with tip mass. , 2018, ISA transactions.

[39]  Hongjing Liang,et al.  Adaptive Dynamic Surface Control Design for Uncertain Nonlinear Strict-Feedback Systems With Unknown Control Direction and Disturbances , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[40]  K. D. Do,et al.  Stochastic stabilization of slender beams in space: Modeling and boundary control , 2018, Autom..

[41]  Keum Shik Hong,et al.  Active vibration control of a flexible rod moving in water: Application to nuclear refueling machines , 2018, Autom..

[42]  Han-Xiong Li,et al.  Fuzzy Boundary Control Design for a Class of Nonlinear Parabolic Distributed Parameter Systems , 2014, IEEE Transactions on Fuzzy Systems.

[43]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[44]  L. Fu,et al.  Robust output tracking for nonlinear systems with weakly non-minimum phase , 1993 .

[45]  Kaixiang Peng,et al.  Adaptive Neural Control for Robotic Manipulators With Output Constraints and Uncertainties , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[46]  M. Krstić.  Boundary Control of PDEs: A Course on Backstepping Designs , 2008 .

[47]  Liqun Chen,et al.  Adaptive vibration reduction of an axially moving string via a tensioner , 2006 .

[48]  C. L. Philip Chen,et al.  I-Ching Divination Evolutionary Algorithm and its Convergence Analysis , 2017, IEEE Transactions on Cybernetics.

[49]  Changyin Sun,et al.  Vibration Control of an Industrial Moving Strip in the Presence of Input Deadzone , 2017, IEEE Transactions on Industrial Electronics.

[50]  Ö. Morgül,et al.  On the Control of Two-link Flexible Robot Arm with Nonuniform Cross Section , 2010 .

[51]  Mou Chen,et al.  Antidisturbance Control for a Suspension Cable System of Helicopter Subject to Input Nonlinearities , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

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

[53]  Han-Xiong Li,et al.  Design of distributed H∞ fuzzy controllers with constraint for nonlinear hyperbolic PDE systems , 2012, Autom..