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Vibration Control of a Flexible Beam With Output Constraint

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 2015年第8期62卷 5023-5030页

作者： He, Wei Ge, Shuzhi Sam Univ Elect Sci & Technol China Sch Automat Engn Chengdu 611731 Peoples R China Univ Elect Sci & Technol China Ctr Robot Chengdu 611731 Peoples R China Natl Univ Singapore Dept Elect & Comp Engn Singapore 117576 Singapore

In this paper, we present the vibration control design for a Euler-Bernoulli beam with the boundary output constraint. To prevent the constraint violation, a novel barrier Lyapunov function is employed for the control design and stability analysis. This paper represents an important step in extending the barrier Lyapunov function theory to distributed parameter systems. Model-based barrier control is proposed to suppress the vibration of a flexible Euler-Bernoulli beam under the boundary output constraint. Then, adaptive control is designed to handle the system parametric uncertainties. The vibration suppression is well achieved without violation of the constraint. Numerical simulations are provided to illustrate the performance of the control system.

关键词： Boundary control distributed parameter system Euler-Bernoulli beam flexible structure output constraint vibration control

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Polynomial Input-Output Stability for Linear systems

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2015年第10期60卷 2797-2802页

作者： Paunonen, Lassi Laakkonen, Petteri Tampere Univ Technol Dept Math FIN-33101 Tampere Finland

We introduce the concept of polynomial input-output stability for infinite-dimensional linear systems. We show that this stability type corresponds exactly to the recent notion of P-stability in the frequency domain. In addition, we show that on a Hilbert space a regular linear system whose system operator generates a polynomially stable semigroup is always polynomially input-output stable, and present additional conditions under which the system is input-output stable. The results are illustrated with an example of a polynomially input-output stable one-dimensional wave system.

关键词： distributed parameter system stability

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Parametric uncertainties and influence of the dead volume representation in modelling simulated moving bed separation processes

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JOURNAL OF CHROMATOGRAPHY A 2010年第47期1217卷 7359-7371页

作者： Grosfils, V. Hanus, R. Wouwer, A. Vande Kinnaert, M. Univ Libre Bruxelles Serv Automat & Anal Syst B-1050 Brussels Belgium Fac Polytech Mons Serv Automat B-7000 Mons Belgium

In this study, a systematic numerical procedure for identifying the model parameters of simulated moving bed (SMB) separation processes is developed. The parameters are first estimated by minimizing a weighted least-squares criterion using experimental data from batch experiments, e.g. the time evolution of the concentration of elution peaks. Then, a cross-validation is achieved using data from experiments in SMB operation. At this stage, the importance of a careful modelling of the dead volumes within the SMB process is highlighted. In addition, confidence intervals on the estimated parameters and on the predicted concentration profiles are evaluated. (C) 2010 Elsevier B.V. All rights reserved.

关键词： Identification Chromatography distributed parameter system Dead volume

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Robust boundary control approaches to the stabilization of the Euler-Bernoulli beam under external disturbances

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JOURNAL OF VIBRATION AND CONTROL 2023年第21-22期29卷 4841-4856页

作者： Wang, Yingying Wu, Wei Wang, Zhan Lou, Xuyang Goerges, Daniel Jiangnan Univ Key Lab Adv Proc Control Light Ind Minist Educ Wuxi 214122 Binhu Peoples R China Jiangnan Univ Sch IoT Engn Wuxi Jiangsu Peoples R China Univ Kaiserslautern Dept Elect & Comp Engn Kaiserslautern Germany

In this paper, the boundary feedback control problem for the Euler-Bernoulli beam with unknown time-varying distributed load and boundary disturbance is investigated. Based on the Lagrangian-Hamiltonian mechanics, the model of the beam is derived as a partial differential equation. To suppress the external disturbance, two disturbance rejection control approaches are adopted in the control design. Firstly, a disturbance observer is designed to estimate the boundary disturbance online. Thus, the effect of the boundary disturbance can be canceled directly in the feedback loop. A time-varying function is applied in the disturbance observer to prevent an excessively large control input. Secondly, a new observer is developed to estimate the upper bound of the disturbance and a sign function is introduced to suppress the influence of the disturbance without demanding the boundedness of the derivative of the boundary disturbance. The well-posedness and the uniform boundedness of the closed-loop system are proved using the operator semigroup theory and the Lyapunov method. Numerical comparisons with existing results are made for demonstrating the advantages of the proposed approaches.

关键词： Euler-Bernoulli beam robust control distributed parameter system disturbance observer well-posedness

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Disturbance observer design and vibration control for a flexible aircraft wing

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL 2018年第13期40卷 3760-3773页

作者： Zhang, Yuanyuan Liu, Jinkun He, Wei Beijing Univ Aeronaut & Astronaut Sch Automat Sci & Elect Engn Beihang Univ Beijing 100191 Peoples R China Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing Peoples R China Univ Sci & Technol Beijing Minist Educ Key Lab Knowledge Automat Ind Proc Beijing Peoples R China

This study focuses on the disturbance observer design and vibration control problems for a flexible aircraft wing system. The flexible aircraft wing is modeled as a coupled twist-bending infinite dimensional distributed parameter system. The dynamic equations and boundary conditions are described by partial differential equations and ordinary differential equations, respectively. In this paper, an infinite dimensional disturbance observer is proposed to estimate both the boundary disturbances and the distributed spatiotemporally varying disturbances. Considering the coupling between the bending deformation and the twist deformation, a boundary controller is proposed to suppress the vibration and inhibit the adverse effects of external disturbances. By using the proposed disturbance observer and controller, the uniform boundednesss of the closed-loop system is validated through theoretical analysis. Finally, simulation results are carried out to illustrate the effectiveness of the proposed infinite dimensional disturbance observer and boundary controller.

关键词： Infinite dimensional disturbance observer flexible aircraft wing boundary control distributed parameter system partial differential equation

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SENSOR-FAILURE DETECTION METHOD FOR FLEXIBLE STRUCTURES

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1987年第5期10卷 474-482页

作者： BARUH, H CHOE, K Rutgers University New Brunswick NJ

A method is presented for the identification of sensor failures in distributed structures. The procedure can be used with controlled or uncontrolled systems, and is applicable when a large number of sensors are used. For control systems, the failure detection can be implemented with any control scheme. It makes use of estimates of the system state to identify the faulty sensor(s). The sensors output is estimated using modal analysis and a decentralized approach. These estimates are plotted and compared with plots of the actual sensors measurements to detect failure. A sequential decision-making sequence for failure detection is proposed. (Author)

关键词： Acceleration Sensors Flexible Structures Control systems Modal Analysis distributed parameter system Transverse Vibrations Artificial Intelligence Flexible Spacecrafts Feedback Control Digital Computers

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Vehicle density estimation of freeway traffic with unknown boundary demand-supply: an interacting multiple model approach

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IET CONTROL THEORY AND APPLICATIONS 2015年第13期9卷 1989-1995页

作者： Zhang, Liguo Mao, Xuerong Beijing Univ Technol Sch Elect & Control Engn Beijing 100124 Peoples R China Key Lab Computat Intelligence & Intelligent Syst Beijing 100124 Peoples R China Univ Strathclyde Dept Math & Stat Glasgow G1 1XH Lanark Scotland

As distributed parameter systems, dynamics of freeway traffic are dominated by the current traffic parameter and boundary fluxes from upstream/downstream sections or on/off ramps. The difference between traffic demand-supply and boundary fluxes actually reflects the congestion level of freeway travel. This study investigates simultaneous traffic density and boundary flux estimation with data extracted from on-road detectors. The existing studies for traffic estimation mainly focus on the traffic parameters (density, velocity etc.) of mainline traffic and ignore flux fluctuations at boundary sections of the freeway. The authors propose a stochastic hybrid traffic flow model by extending the cell transmission model with Markovian multi-mode switching. A novel interacting multiple model filtering for simultaneous input and state estimation is developed for discrete-time Markovian switching systems with unknown input. A freeway segment of Interstate 80 East (I-80E) in Berkeley, Northern California, is chosen to investigate the performance of the developed approach. Traffic data is obtained from the performance measurement system.

关键词： distributed parameter systems road traffic control Markov processes state estimation discrete time systems switching systems (control) road vehicles distributed parameter system freeway traffic dynamics boundary flux traffic parameter estimation traffic demand-supply stochastic hybrid traffic flow model cell transmission model Markovian multimode switching interacting multiple model filtering state estimation discrete-time Markovian switching systems performance measurement system vehicle density estimation

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Vibration suppression and fault-tolerant control of an aerial refueling hose with multiple actuators

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ASIAN JOURNAL OF CONTROL 2023年第1期25卷 128-143页

作者： Song, Congcong Yan, Xiaobao Wang, Qin Liang, Jinyuan Han, Zhiji Liu, Zhijie Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China Univ Sci & Technol Beijing Inst Artificial Intelligence Beijing 100083 Peoples R China

In this paper, we propose an adaptive fault-tolerant boundary vibration control approach for the flexible aerial refueling hose with variable length, variable speed, and multiple actuators. A distributed parameter system (DPS) is utilized to represent the dynamic behavior of the flexible refueling hose more precisely and accurately. Based on the established DPS model, we present a boundary vibration controller to suppress the vibration of the flexible refueling hose. In the controller, fault-tolerant control with multiple actuators is considered to tackle the failure issues, and both multiplicative and additive failures are discussed in the fault situation. Then, by the Lyapunov direct method, we prove that the stability of the closed-loop system is guaranteed under the proposed control approach. Numerical examples are presented to support the theoretical derivation.

关键词： aerial refueling hose boundary control distributed parameter system fault-tolerant control vibration control

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Boundary control of multiple-sectioned flexible marine riser with time-varying output constraint

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JOURNAL OF VIBRATION AND CONTROL 2023年第19-20期29卷 4785-4798页

作者： Yao, Xiangqian Zhao, Wei Liu, Yu South China Univ Technol Sch Automat Sci & Engn 381 Wushan Rd Guangzhou 510641 Peoples R China Guangzhou Inst Modern Ind Technol R&D Ctr Precis Elect Mfg Technol Guangzhou Peoples R China

This article addresses the problem for vibration suppression of a multiple-sectioned marine riser system subject to time-varying external disturbances and asymmetric output constraint. Under the assumption that continuity constraint, multiple-sectioned marine riser's dynamics are described by some continuously connected partial differential equations (PDEs) coupled with an ordinary differential equation (ODE). We only employ boundary control mechanism that suppresses system's vibration displacements and compensate the influence of external disturbances. A novel and improved disturbance observer is proposed to estimate unknown boundary disturbance and two different barrier Lyapunov functions are constructed to prevent the time-varying constraint violation. Based on the backstepping technology and Lyapunov-based control, a boundary controller is presented to accomplish the control objectives. Moreover, the uniform boundedness and stability of the closed-loop system are rigorously guaranteed. Finally, simulation results are provided to illustrate the effectiveness of the designed control scheme.

关键词： distributed parameter system multiple-sectioned flexible riser vibration control time-varying output constraint disturbance observer

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MANEUVER AND VIBRATION CONTROL OF HYBRID COORDINATE systemS USING LYAPUNOV STABILITY THEORY

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1993年第4期16卷 668-676页

作者： JUNKINS, JL BANG, HC Texas A&M University College Station Texas 77843

In this study, we present a generalized control law design methodology that covers a large class of systems, especially flexible structures described by hybrid discrete/distributed coordinate systems. The Lyapunov stability theory is used to develop globally stabilizing control laws. A hybrid version of Hamilton's canonical equations is introduced, which provides a direct path to designing stabilizing control laws for general nonlinear hybrid systems. The usual loss of robustness due to model reduction is overcome by this Lyaponov approach, which does not require truncation of the flexible systems into finite dimensional discrete systems.

关键词： distributed parameter system Active Vibration Suppression Flexible Structures Space Structures Feedback Control Stiffness Matrices Vibration Suppression Nonlinear Kinematics Nonlinear systems Elastic Structure

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