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CONTROL OF distributed STRUCTURES WITH SMALL NONPROPORTIONAL DAMPING

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1989年第6期12卷 930-932页

作者： MEIROVITCH, L NORRIS, MA Virginia Polytechnic Institute and State University Blacksburg

This paper examines the circumstances under which controls based on a self-adjoint structure yield satisfactory performance when applied to a closely related nonself-adjoint structure. To this end, a perturbation technique is used to compute the sensitivity of the closed-loop poles to small viscous damping. A numerical example is presented in which the control system performance is examined for varying amounts of nonproportional damping. The example indicates how large the nonproportional damping can be without degrading control system performance.

关键词： distributed parameter system Damping Coefficient Control system Design Modal Space Control Strain Rate Simply Supported Beams Structural Damping

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Dynamic shape control of a morphing airfoil using spatially distributed transducers

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2006年第3期29卷 612-616页

作者： Hubbard, J. E., Jr. Univ Maryland Natl Inst Aerosp Dept Aerosp Engn College Pk MD 20742 USA

A space/time transform parameterization is used to model the upper profile section of a morphing airfoil. The parameterization allows for the quantification of morphing spatial performance in terms of a spatial bandwidth. Airfoil morphing from one shape to another allows the system to use-minimal energy during the process. A multivariable response matrix is then formulated for the distributed parameter system, and standard control synthesis tools are applied to achieve a robust dynamic shape controller. The space/time parameterization results in a spatially decoupled system with Fourier coefficients as inputs and orthogonal basis shapes as outputs. A proof-of-concept simulation, which demonstrates the efficacy of a dynamically commanded airfoil profile, is presented.

关键词： distributed parameter system Airfoil Profiles Transducers Shape Functions Smart Materials and Structures Lift to Drag Ratio Robust Multivariable Control Control system Design Structural Damping Frequency Domain

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Sliding mode boundary control for vibration suppression in a pinned-pinned Euler-Bernoulli beam with disturbances

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JOURNAL OF VIBRATION AND CONTROL 2018年第6期24卷 1109-1122页

作者： Karagiannis, Dimitri Radisavljevic-Gajic, Verica Villanova Univ Ctr Nonlinear Dynam & Control CENDAC Dept Mech Engn Villanova PA 19085 USA

This work addresses the control of a pinned-pinned beam represented by the fourth order partial differential equation commonly known as the Euler-Bernoulli beam model. The system under consideration has pinned boundary conditions on one end (displacement and bending moment fixed at zero) and controlled boundary conditions on the other end (displacement and bending moment are prescribed by control functions). There are also unknown bounded disturbances included on the controlled boundary. A backstepping control technique which introduces arbitrary damping into the system is discussed, and a method for applying this control in the presence of unknown disturbances is developed using sliding mode control theory. Sliding mode controllers are developed in a way that does not create a chattering effect, which is a common issue with sliding mode control. Simulation results are presented to show how the system dampens out vibrations at an arbitrarily determined rate and how the control functions respond to unmodeled disturbances.

关键词： Boundary control distributed parameter system sliding mode control beam vibrations vibration control partial differential equation control Euler Bernoulli beam

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Boundary control of a vertical nonlinear flexible manipulator considering disturbance observer and deflection constraint with torque and boundary force feedback signals

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INTERNATIONAL JOURNAL OF systemS SCIENCE 2022年第4期53卷 704-725页

作者： Entessari, Farshid Ardekany, Ali Najafi Alasty, Aria Sharif Univ Technol Sch Sci & Engn Int Campus Kish Iran KN Toosi Univ Technol Fac Mech Engn Tehran Iran Sharif Univ Technol Sch Mech Engn Tehran Iran

In this paper, boundary control (BC) laws are designed to find a BC solution for a single-link nonlinear vertical manipulator to suppress the link's transverse vibrations and control the rigid body nonlinear large rotating motion. The governing equations of motions and boundary conditions, which all consist of a set of PDEs and ODEs have been derived based on the Hamilton principle. It is desired to regulate large angular orientation, suppress the flexible link's transverse vibrations and compensate the boundary disturbance simultaneously. The amount of elastic boundary vibration has remained within the constraint range. By considering novel Barrier-Integral Lyapunov functional in order to prevent the amount of boundary deflection from violating the constraints and avoiding any simplifications, in the presence of external boundary disturbance, proper control feedbacks and boundary disturbance observer are adopted in order to reach control objectives and to compensate external boundary disturbance effects simultaneously. By choosing proper boundary feedback, system states are proven to be uniform ultimate bounded and converge exponentially toward a small neighbourhood of zero. In order to illustrate the performance of the proposed control approach, numerical simulation results are provided.

关键词： Nonlinear flexible vertical manipulator distributed parameter system vibration control boundary control

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Sliding mode vibration control of an Euler-Bernoulli beam with unknown external disturbances

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NONLINEAR DYNAMICS 2022年第2期110卷 1393-1404页

作者： Wang, Zhan Wu, Wei Goerges, Daniel Lou, Xuyang Jiangnan Univ Sch IoT Engn Wuxi 214122 Jiangsu Peoples R China German Res Ctr Artificial Intelligence DFKI D-67663 Kaiserslautern Germany

This paper addresses the stabilization problem of an Euler-Bernoulli beam system subject to an unknown time-varying distributed load and boundary disturbance. Based on Lagrangian-Hamiltonian mechanics, the model of the beam system is derived as a partial differential equation. Based on Lyapunov functions, a sliding surface is designed, on which the system exhibits exponential bounded stability and robustness against the external disturbances. A sliding mode controller which only uses boundary information is further proposed to drive the system to reach the sliding surface in finite time. Numerical simulations are shown to illustrate the validity of the proposed boundary control.

关键词： Boundary control distributed parameter system Sliding mode control Euler-Bernoulli beam

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Trajectory Tracking Control for a Three-Dimensional Flexible Wing

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IEEE TRANSACTIONS ON CONTROL systemS TECHNOLOGY 2022年第5期30卷 2243-2250页

作者： He, Wei Tang, Xinyue Wang, Tingting Liu, Zhijie Univ Sci & Technol Beijing Inst Artificial Intelligence Beijing 100083 Peoples R China Univ Sci & Technol Beijing Sch Automat & Elect Engn Key Lab Knowledge Automat Ind Proc Minist Educ Beijing 100083 Peoples R China

This brief mainly considers trajectory tracking and vibration suppression for a 3-D flexible wing. The dynamical model of the flexible wing is regarded as a distributed parameter system, which is described by partial differential equations and ordinary differential equations. A control strategy regulates the flexible wing to track the desired trajectory by controlling two angles. Meanwhile, two active boundary controllers are proposed to restrain the vibrations both in bending and twisting. By using Lyapunov's direct method, the stability of the flexible wing system can be ensured. Numerical simulations based on the finite-difference method demonstrate the effectiveness of the proposed control schemes.

关键词： Trajectory Vibrations Trajectory tracking Aerospace electronics Mathematical models Bending Solid modeling 3-D flexible wing distributed parameter system trajectory tracking control vibration control

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Boundary Control of a Coupled Nonlinear Flexible Marine Riser

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IEEE TRANSACTIONS ON CONTROL systemS TECHNOLOGY 2010年第5期18卷 1080-1091页

作者： Ge, Shuzhi Sam He, Wei How, Bernard Voon Ee Choo, Yoo Sang Natl Univ Singapore Dept Elect & Comp Engn Singapore 117576 Singapore Natl Univ Singapore Ctr Offshore Res & Engn Singapore 117576 Singapore Pusan Natl Univ Grad Sch Dept Cogno Mechatron Engn Pusan 609735 South Korea Natl Univ Singapore Dept Civil Engn Singapore 117576 Singapore

In this paper, boundary control for a coupled nonlinear flexible marine riser with two actuators in transverse and longitudinal directions is developed to reduce the riser's vibrations. The dynamic behavior of the flexible riser is represented by a distributed parameter system with partial differential equations (PDEs) and the control is applied at the top boundary of the riser based on Lyapunov's direct method to regulate the riser's vibrations. With the proposed boundary control, uniform boundedness under ocean current disturbance, and exponential stability under free vibration condition can be achieved. The proposed control is independent of system parameters, which ensures the robustness of the system to variations in parameters. Numerical simulations for demonstrating the effectiveness of the proposed control are presented.

关键词： Boundary control distributed parameter system exponential stability Lyapunov's direct method partial differential equations (PDEs) uniform boundedness

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APPLICATION OF A PERIODIC LATTICE FILTER FOR IDENTIFYING FLEXIBLE STRUCTURES

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1993年第6期16卷 1109-1117页

作者： LEE, YJ SPEYER, JL UNIV TEXAS DEPT AEROSP ENGN & ENGN MECHAUSTINTX 78712

Lattice filters have properties that are well suited for application to parameter identification of flexible structures. The problem of both order and parameter estimation is addressed where the numerical difficulties of an embedded lattice filter are avoided by applying a periodic lattice filter. This formulation is quite natural to estimate system order by applying Akaike's Information Criterion to each channel of the periodic lattice filter. Several examples including nonstationary cases are simulated to demonstrate these facts.

关键词： Flexible Structures White Noise Stiffness Matrices distributed parameter system Adaptive Control systems Aerodynamic Damping Recursive Algorithm Gaussian Process Structural Modeling Space Structures

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Robust adaptive control of a thruster assisted position mooring system

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AUTOMATICA 2014年第7期50卷 1843-1851页

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

In this paper, robust adaptive control is developed for a thruster assisted position mooring system in the transverse direction. To provide an accurate and concise representation for the dynamic behavior of the mooring system, the flexible mooring lines are modeled as a distributed parameter system of partial differential equations (PDEs). The proposed control is applied at the top boundary of the mooring lines for station keeping via Lyapunov's direct method. Adaptive control is designed to handle the system parametric uncertainties. With the proposed robust adaptive control, uniform boundedness of the system under the ocean current disturbance is achieved. The proposed control is implementable with actual instrumentations since all the signals in the control can be measured by sensors or calculated by using a backward difference algorithm. The effectiveness of the proposed control is verified by numerical simulations. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： distributed parameter system Flexible structure Boundary control Vibration control Marine mooring system

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Robust Adaptive Control Allocation for a Class of Cascade ODE-String systems With Actuator Failures

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2022年第3期67卷 1474-1481页

作者： Xing, Xueyan Liu, Jinkun Beihang Univ Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China

A robust adaptive control allocation algorithm with actuator failure compensation is presented in this article for a class of cascade ODE-string systems depicted by ordinary differential equations (ODEs) and partial differential equations. The proposed control scheme including actuator fault compensation and allocation algorithm uniformly stabilizes the cascade ODE-string system in the presence of actuator faults, parameter uncertainties and environmental perturbations, and effectively reduces the controller complexity by adaptively grouping redundant actuators. Since this control method needs full-state measurement of the ODE system, it can be regarded as a state-feedback control instead of an output-feedback control. Control design and proof of the closed-loop system stability are implemented by Lyapunov's direct method. Numerical simulations are finally analyzed to illustrate the feasibility of the proposed control scheme.

关键词： Actuators Resource management Adaptive control Control design Uncertainty Fault tolerant systems Perturbation methods Actuator failure compensation cascade ordinary differential equation (ODE) string system distributed parameter system partial differential equation (PDE) string robust adaptive control allocation

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