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ACTUATOR PLACEMENT IN STRUCTURAL CONTROL

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1992年第1期15卷 40-48页

作者： CHOE, K BARUH, H RUTGERS STATE UNIV DEPT MECH & AEROSP ENGNNEW BRUNSWICKNJ 08903

The placement of force and torque actuators for structural control problems is considered. Objective functions are defined based on the elements of the actuator influence matrix, and optimization studies are conducted. The performance of the control is compared. The results indicate that a relatively even distribution of the actuators gives satisfactory results, whereas a close spacing of the actuators leads to excessive fuel and energy use. In all cases, several evenly spaced actuator distributions are found to be suitable. In addition, torque actuators are found to be less desirable than force actuators because they excite the higher modes to a greater degree. The efficiency of piecewise-continuous actuators is analyzed. Piecewise-continuous actuators are more realistic models than point actuators and they reduce stress levels. However, if their contact area is too large, they use more fuel.

关键词： Actuators Energy Transfer Mathematical Models Fuel Consumption Vibration Suppression Modal Space Control distributed parameter system Dirac Delta Function Flexible Structures Optimal Control

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Active Vibration Suppression of Uncertain Hose and Drogue systems in the Presence of Actuator Nonlinearities

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IEEE ACCESS 2020年 8卷 106924-106939页

作者： Chang, Liang Ito, Takao Beihang Univ BUAA Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China Hiroshima Univ Grad Sch Adv Sci & Engn Hiroshima 7398527 Japan

This paper investigates vibration suppression of uncertain hose and drogue systems in the presence of actuator nonlinearities. Firstly, a previously presented model of the hose and drogue systems is extended to describe how the hose and drogue systems restrain the vibration, while the accompanying unknown aerodynamic coefficients are estimated by invoking the parameter projection method. Subsequently, for the actuator nonlinearities of dead-zone and saturation, a smooth dead-zone approximate function is constructed to design the dead-zone compensation method, based upon which the proposed control scheme can handle actuator dead-zone and saturation simultaneously while improving the output efficiency of the actuator. Next, for the actuator nonlinearities of backlash and saturation, a smooth backlash inverse is constructed based upon which the presented control scheme can cope with the both actuator nonlinearities simultaneously. Finally, by utilizing backstepping method and hyperbolic tangent function, the proposed control schemes can also achieve the control objectives of vibration suppression and external disturbance attenuation. Simulation examples are included to demonstrate the validity of the proposed control schemes.

关键词： Adaptive control backlash dead-zone distributed parameter system uncertain nonlinear system

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Modeling and computationally efficient simulation of chromatographic separation processes

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MATHEMATICS AND COMPUTERS IN SIMULATION 2000年第4-6期53卷 449-455页

作者： Klatt, KU Dünnebier, G Engell, S Univ Dortmund Dept Chem Engn Proc Control Lab D-44221 Dortmund Germany

Chromatographic separation processes are an emerging technology, especially in the field of fine chemicals and pharmaceutical products. As an alternative to conventional batch chromatography, the simulated moving bed (SMB) process gained more and more impact recently. Because of the complex dynamics, the automatic control of chromatographic separation processes is a challenging task, the solution of which requires reliable and computationally efficient simulation models. The purpose of this contribution is to give an overview about the generation of dynamic models both for single chromatographic columns and SMB processes. We here distinguish chromatographic processes by the type of adsorption isotherm and proceed from the ideal model for chromatographic columns while increasing the model complexity as far as necessary in order to build a simulation model which on the one hand is computationally effective and on the other hand correctly describes the dynamics of the process which is relevant for on-line optimization and control purposes. (C) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.

关键词： chromatographic separation process simulated moving bed process distributed parameter system

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distributed transfer function approach for one-dimensional thermoacoustic combustor models

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COMBUSTION THEORY AND MODELLING 2023年第2期27卷 168-197页

作者： Yoon, Myunggon Gangneung Wonju Natl Univ Dept Mech Engn Wonju South Korea

This paper proposes a new approach for one-dimensional thermoacoustic combustor models. Our new model is a transfer function estimated from the frequency response of the linearised Euler equation to a spatially normalised and temporally impulsive input. The proposed approach can deal with combustors with varying cross-sectional areas under a non-zero mean flow, distributed heating/cooling, and outlet boundary conditions involving entropy waves, overcoming limitations of the popular network model. In addition our new approach can provide a more reliable thermoacoustic model for combustors with entropy-related boundary conditions, remedying the inaccurate entropy model of the network model. Numerical comparisons of our new model with a network model show apparent similarities between the two, validating the new model. It is also observed that, compared to our new model, the network model is more sensitive to mean flow and significantly overestimates the entropy wave effects on combustor acoustics.

关键词： combustor model combustion instability Euler equation transfer function distributed parameter system

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Vibration Boundary Control for a One-Dimensional Flexible Beam system With Restricted Input

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IEEE ACCESS 2018年 6卷 43336-43342页

作者： Zhao, Zhijia Ma, Yonghao Ren, Zhigang Tang, Chunming Wen, Guilin Guangzhou Univ Sch Mech Elect Engn Guangzhou 510006 Guangdong Peoples R China Guangzhou Univ Adv Technol Ctr Special Equipment Guangzhou 510006 Guangdong Peoples R China Guangdong Univ Technol Sch Automat Guangzhou 510006 Guangdong Peoples R China Guangzhou Univ Sch Math & Informat Sci Guangzhou 510006 Guangdong Peoples R China

This paper studies a boundary control problem of a 1-D flexible beam. The objective is to design an efficient boundary controller to suppress the undesired vibration of the 1-D flexible beam with restricted input. A novel boundary controller is developed to suppress the vibration and stabilize the beam system. The effect of the restricted input can be mitigated by employing a smooth hyperbolic tangent function and the boundary controller proposed in this paper can not only avoid the control spillover phenomenon, but also guarantee the asymptotic stability of the closed-loop system. The numerical results are finally illustrated to validate the effectiveness of our methodology.

关键词： distributed parameter system boundary control vibration control flexible system

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Iterative Learning Consensus Control for Multi-agent systems with Fractional Order distributed parameter Models

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INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND systemS 2019年第11期17卷 2839-2849页

作者： Lan, Yong-Hong Xia, Jun-Jun Xia, Ya-Ping Li, Peng Xiangtan Univ Sch Informat Engn Xiangtan 411105 Hunan Peoples R China

This paper concerns about the iterative learning consensus control scheme for a class of multi-agent systems (MAS) with distributed parameter models. First, based on the framework of network topologies, a second-order iterative learning control (ILC) protocol is proposed by using the nearest neighbor knowledge. Next, a discrete system for ILC is established and the consensus control problem is then converted to a stability problem for such a discrete system. Furthermore, by using generalized Gronwall inequality, a sufficient condition for the convergence of the consensus errors between any two agents is obtained. Finally, the validity of the proposed method is verified by two numerical examples.

关键词： distributed parameter system fractional order iterative learning control multi-agent systems

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Iterative Learning Control for a Class of Multivariable distributed systems With Experimental Validation

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IEEE TRANSACTIONS ON CONTROL systemS TECHNOLOGY 2021年第3期29卷 949-960页

作者： Mandra, Slawomir Galkowski, Krzysztof Rauh, Andreas Aschemann, Harald Rogers, Eric Nicolaus Copernicus Univ Fac Phys Astron & Informat Dept Automat & Measurement Syst PL-87100 Torun Poland Univ Zielona Gora Inst Control & Computat Engn PL-65516 Zielona Gora Poland Univ Rostock Chair Mechatron D-18059 Rostock Germany Univ Southampton Sch Elect & Comp Sci Southampton SO17 1BJ Hants England

This article develops an iterative learning control (ILC) design for a class of multiple-input-multiple-output systems where a distributed heating system is used as a particular example to experimentally validate the design. The class of systems considered is described by a parabolic partial differential equation, which, for control design, is approximated by a finite-dimensional state-space model obtained by applying the method of integro-differential relations combined with a projection approach. In some cases, including the distributed heating system, this approximation may result in a nonminimum phase system and, hence, pose an additional design challenge. In this work, the ILC law is computed in the frequency domain by solving a convex optimization problem, and its performance is evaluated in both simulation and experiment.

关键词： Heating systems Mathematical model MIMO communication State-space methods distributed parameter systems Trajectory Actuators distributed parameter system feedback control iterative learning control (ILC) multivariable system nonminimum phase system

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Dynamical distributed control and synchronization

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NONLINEAR DYNAMICS 2021年第2期103卷 1663-1679页

作者： Flores-Flores, Juan Pablo Martinez-Guerra, Rafael Inst Politecn Nacl Ctr Invest & Estudios Avanzados Dept Control Automat Av Inst Politecn Nacl 2508 Mexico City 07360 DF Mexico

It is well known that most of real-world phenomena are described by partial differential equations. Nevertheless, for control design purposes it is very common to approximate them with a set of ordinary differential equations, since conventional design methods, such as calculus of variations or differential geometry, turn out to be very complex for this class of systems. However, by doing this, valuable properties are lost. In this work, we present a dynamical distributed control for nonlinear partial differential equation systems and we focus on solving the Generalized Synchronization problem, since this topic has multiple applications in the disciplines of engineering, biology, physics, etc. For the design of the control, we utilize a differential algebraic approach. The key ingredient of our design method is to find a canonical form of the given systems by means of the so-called partial differential primitive element. This representation is known as Generalized Observability Canonical Form and allows us to design a dynamical distributed control in a natural way. Additionally, to avoid a functional analysis for the stability of the resultant synchronization error, we propose to utilize tools from semi-group and spectral theory of infinite dimensional systems in a Hilbert space. As a result, we present a design approach less complex and, therefore, more accessible than most common design methods. Besides, with the proposed stability analysis, we obtain an easy criterion to select the control gains;hence, we can solve the generalized synchronization problem of partial differential equation systems in a simple way. To validate the effectiveness of the proposed control, we present two examples of generalized synchronization for reaction-diffusion systems and show their respective numerical results.

关键词： Dynamical distributed control distributed parameter system Differential algebraic approach Synchronization

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Disturbance observer-based boundary control for a suspension cable system moving in the horizontal plane

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL 2019年第2期41卷 340-349页

作者： Ren, Yong Chen, Mou Wu, Qingxian Southeast Univ Key Lab Measurement & Control CSE Nanjing Jiangsu Peoples R China

This paper addresses the suppressing problem of cable vibration and the positioning control design for a suspension cable system of a helicopter with disturbances. Hamilton's principle is applied to obtain a distributed parameter system for the suspension cable system of a helicopter. Two observers are employed to restrain the effect of unknown external disturbances. Based on the proposed disturbance observers and Lyapunov's direct method, two boundary control laws are designed, which are provided by the actuators at the top and bottom boundaries of the suspension cable, respectively. Under the proposed control laws, the oscillation amplitude and the error between the bottom boundary payload and the desired point are proven to be uniformly ultimately bounded. Moreover, they will converge to a small neighbourhood of zero by selecting proper design parameters. Meanwhile, some sufficient conditions are provided to guarantee the validity of the proposed control laws. Finally, simulation results show the rationality and effectiveness of the control scheme developed in this paper.

关键词： Helicopter suspension cable system boundary control disturbance observer distributed parameter system partial differential equation (PDE)

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Vibration suppression and angle tracking of a fire-rescue ladder

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NONLINEAR DYNAMICS 2020年第3期100卷 2365-2380页

作者： Feng, Jial He, Xiuyu Zhang, Shuang Li, Guang 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 Univ Sci & Technol Beijing Shunde Grad Sch Foshan 528399 Peoples R China Queen Mary Univ London Sch Engn & Mat Sci Mile End Rd London E1 4NS England

This paper mainly considers vibration suppression and angle tracking of a fire-rescue ladder system. The dynamical model is regarded as a segmented Euler-Bernoulli beam with gravity and tip mass, described by a set of motion equations and boundary conditions. Based on the nonlinear Euler-Bernoulli beam model, two active boundary controllers are proposed to achieve the control objectives. The elastic deflection and the angular error in the closed-loop system are proven to converge exponentially to a small neighborhood of zero. Numerical simulations based on finite difference method verify the effectiveness and the ascendancy of active boundary controllers.

关键词： Vibration suppression Angle tracking Active boundary control Nonuniform Euler-Bernoulli beam distributed parameter system

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