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Vibration Control of an Industrial Moving Strip in the Presence of Input Deadzone

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 2017年第6期64卷 4680-4689页

作者： He, Wei He, Xiuyu Sun, Changyin Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China Univ Sci & Technol Beijing Key Lab Adv Control Iron & Steel Proc Beijing 100083 Peoples R China Southeast Univ Sch Automat Nanjing 210096 Jiangsu Peoples R China

This paper investigates the boundary control design and the stability analysis for an axially moving strip system under the external time-varying disturbances. Based on the infinite dimensional dynamical model, the active control strategies are acted on the boundary of the system to deal with the problems of vibration suppression and nonlinear deadzone input characteristic. In addition, a disturbance observer is constructed to handle the bounded and uncertain boundary disturbance. With the proposed boundary control laws, the states of themoving strip system are proven to converge to a neighbourhood of the equilibrium points, namely, the stability of the moving strip system can be guaranteed. Through comparing the simulation results, the effectiveness of the boundary control law is verified.

关键词： Adaptive control boundary control distributed parameter system flexible structure industrial moving strip input deadzone vibration control

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Boundary feedback control using proper orthogonal decomposition models

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2005年第5期28卷 931-938页

作者： Camphouse, RC Air Vehicles Directorate Wright Patterson AFB OH 45433 USA

Reduced-order boundary feedback controls are obtained through weak formulations of proper orthogonal decomposition system models. Control gain information is used to determine model fidelity. A fixed-point iteration scheme is used to incorporate the reduced-order control in the full-order simulation for validation. The effectiveness of the reduced-order control on the reduced and full-order models is demonstrated.

关键词： Full State Feedback distributed parameter system One Dimensional Heat Equation Finite Difference Approximation Runge Kutta Methods Nonlinear systems Navier Stokes Equations Turbulence Models Heat Conduction Optimal Control

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Motion planning and tracking control for coupled flexible beam structures

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CONTROL ENGINEERING PRACTICE 2019年 84卷 389-398页

作者： Kater, Andreas Meurer, Thomas Univ Kiel Chair Automat Control Kaiserstr 2 D-24143 Kiel Germany

A systematic flatness-based motion planning approach for a structure consisting of coupled flexible bending beams is introduced. The beams are equipped with in-domain piezoelectric macro-fiber composite (MFC) actuators and are coupled by an elastic string, modeled as spring, which connects the tip masses of adjacent beams. This setup provides a challenging benchmark experiment to evaluate control concepts. Hamilton's principle leads to the equations of motion involving spatially varying parameters due to the different material characteristics of the carrier structure and the attached MFC-actuators. The flat output is constructed by exploiting the spectral system representation and enables a differential parameterization of the system states and inputs. This parameterization transfers the motion planning problem into a trajectory assignment problem for the flat output. The resulting flatness-based feedforward control law is analyzed and evaluated at an experimental setup. To increase the performance and the robustness w.r.t. model uncertainties and external disturbances the flatness-based feedforward control is amended by a feedback controller with observer in the spirit of the two-degrees-of-freedom control approach.

关键词： distributed parameter system Flatness-based feedforward control Motion planning Coupled structure Euler Bernoulli beam Experiment Flexible structure

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distributed control of a class of flexible mechanical systems with global constraint

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INTERNATIONAL JOURNAL OF CONTROL 2016年第1期89卷 128-139页

作者： He, Wei Yang, Chuan Meng, Tingting Sun, Changyin Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China Univ Elect Sci & Technol China Sch Automat Engn Chengdu 611731 Peoples R China

In this paper, the constrained problem is investigated for both flexible string model and Euler-Bernoulli beam model with the tip payload, based on an infinite dimensional generalisation of a distributed control method. The control objectives are to develop the control law so that the motion of flexible mechanical systems can track a desired reference signal, and ensure that the string or beam remain in a constrained space. We prove that, with the proposed control, the tracking error is exponentially stable without violation of the constraint. The proof of convergence is based on an Integral-Barrier Lyapunov Function (IBLF), and extensive simulations are provided to illustrate the performance of the control system.

关键词： distributed control flexible structures distributed parameter system integral-Barrier Lyapunov function global constraint

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parameter-dependent observer-based feedback compensator design of a space-time-varying PDE with application to a class of steelmaking processes

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2021年第16期31卷 7640-7656页

作者： Wang, Jun-Wei Yang, Yang Univ Sci & Technol Beijing Minist Educ Sch Automat & Elect Engn Key Lab Knowledge Automat Ind Proc Beijing 100083 Peoples R China

This article deals with the problem of observer-based feedback compensator design for a linear reaction-advection-diffusion equation subject to a time-varying diffusion coefficient, a time-varying advection coefficient, and a space-time-varying reaction coefficient. To solve such a problem, these coefficients are written in parametric forms under their boundedness assumptions. By considering these parametric forms of the coefficients and the distribution functions for control actuation and non-collocated measurement, a parameter-dependent observer-based feedback compensator is constructed such that the resulting closed-loop coupled equation exponentially converges to a bounded set of the equilibrium profile in the spatial L2 norm. With the aid of the Lyapunov technique and variants of Poincare-Wirtinger's inequality, a sufficient condition for the existence of such feedback compensator is presented in the form of convex constraints. Finally, extensive simulation results for a numerical example and a class of steelmaking processes are presented to support the proposed design method. For the collocated measurement case, both theoretical and simulation results show that the proposed observer-based feedback compensator can provide a better control performance than the static feedback compensator in the presence of measurement disturbances.

关键词： distributed parameter system observer-based feedback compensator parameter-dependent design steelmaking processes

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On delay partial differential and delay differential thermal models for variable pipe flow

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INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 2020年 152卷 119403-000页

作者： Wurm, Jens Bachler, Simon Woittennek, Frank Private Univ Hlth Sci Med Informat & Technol Inst Automat & Control Engn Eduard Wallnofer Zentrum 1 Hall In Tirol Austria

A new formulation of physical thermal models for variable plug flow through a pipe is proposed. The derived model is based on a commonly used one-dimensional distributed parameter model, which explicitly takes into account the heat capacity of the jacket of the pipe. The main result of the present contribution is the constitution of the equivalence of this model with a serial connection of a pure delay or transport system and another partial differential equation (PDE), subsequently called delay-partial differential equation (DPDE) model. The means for obtaining the proposed model comprise operational calculus in the Laplace domain as well as classical theory of characteristics. The finite-dimensional approximation of the DPDE model leads to a delay differential equation (DDE) system, which can be seen as a generalization of commonly used DDE models consisting of a first-order low-pass filter subject to an input delay. The proposed model is compared to several alternative models in simulations and experimental studies. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Variable pipe flow Delay differential equation Partial differential equation distributed parameter system Hyperbolic equation

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Boundary geometric control of a linear Stefan problem

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JOURNAL OF PROCESS CONTROL 2014年第6期24卷 939-946页

作者： Maidi, Ahmed Corriou, Jean-Pierre Univ Mouloud MAMMERI Lab Concept & Conduite Syst Prod Tizi Ouzou 15000 Algeria Lorraine Univ CNRS UMR 7274 Lab React & Genie Procedes F-54001 Nancy France

This paper addresses the geometric control. of the position of a liquid solid interface in a melting process of a material known as Stefan problem. The system model is hybrid, i.e. the dynamical behavior of the liquid-phase temperature is modeled by a heat equation while the motion of the moving boundary is described by an ordinary differential equation. The control is applied at one boundary as a heat flux and the second moving boundary represents the liquid solid interface whose position is the controlled variable. The control objective is to ensure a desired position of the liquid solid interface. The control law is designed using the concept of characteristic index, from geometric control theory, directly issued from the hybrid model without any reduction of the partial differential equation. It is shown by use of Lyapunoy stability test that the control law yields an exponentially stable closed-loop system. The performance of the developed control law is evaluated through simulation by considering zinc melting. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： distributed parameter system Stefan problem Moving boundary Geometric control Characteristic index Exponential stability

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Electrodeposition process boundary concentration control based on motion planning and Zakai filtering: control simulation for unstirred/stirred electrolytes

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INTERNATIONAL JOURNAL OF CONTROL 2011年第9期84卷 1509-1520页

作者： Tenno, R. Aalto Univ Sch Elect Engn Aalto Finland

Electrodeposition process control problem is formulated and solved as a boundary control problem based on unknown parameter model set for a diffusion process controlled by a nonlinear reaction on the boundary. First, the concentration changes in the diffusion layer is feed-forward planned due to the set reference concentration on the cathode boundary and then adapted to a real process according to the certainty equivalent principle based on the measured current densities that compensates for the model uncertainties. In industry, the concentration of species is unobserved except the mass flux on the boundary is measured and controlled as the cathodic current. The diffusivity and apparent transfer coefficient of the deposition reaction are considered as unknown parameters;they are evaluated online along with the concentration on the boundary. The Zakai filtering method is applied for parameters estimation. This article demonstrates through simulation a relatively good convergence of the Zakai estimates to the exact parameters and convergence of the boundary concentration to the set references for tracking.

关键词： distributed parameter system boundary control uncertainty Zakai filtering

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STABILIZATION OF A distributed system WITH A STABLE COMPENSATOR

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MATHEMATICS OF CONTROL SIGNALS AND systemS 1992年第1期5卷 1-22页

作者： STAFFANS, OJ 1. Institute of Mathematics Helsinki University of Technology SF-02150 Espoo 15 Finland

It is proved that a multivariable distributed system, that has no poles on the boundary of the half-plane of analyticity of its transfer function, can be stabilized with a stable strictly proper lumped compensator if and only if the standard parity interlacing condition is satisfied. The problem is formulated and solved in a Banach algebra of transfer functions that are Laplace transforms of measures having a finite total variation with respect to some given submultiplicative weight function. In particular, this result can be applied to transfer functions in the Callier-Desoer class, and it seems to be new even for this class. The proofs are closely related to and based on the scalar case solved previously.

关键词： distributed parameter system STRONG STABILIZATION STABLE COMPENSATOR PARITY INTERLACING CONDITION CALLIER-DESOER CLASS

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Adaptive fault-tolerant control of an axially moving system with time-varying constraints

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ASIAN JOURNAL OF CONTROL 2021年第1期23卷 331-340页

作者： Yue, Xinling Univ Elect Sci & Technol China Sch Automat Engn Chengdu 611731 Peoples R China

In this paper, for an axially moving system, with the purpose of suppressing vibration, an adaptive fault-tolerant control method with time-varying constraints is investigated. The dynamics of the system are comprised of an ordinary differential equation coupled with a partial differential equation. The method used in our study is known as fault-tolerant control to process affairs of actuator failures occur. Actual control substitutes for ideal control to regulate the vibration when the actuator occurs undesired failures. Time-varying constraints are appropriate to cope with the variation range of the performance. Lyapunov function has proven that the adaptive control law is feasible, as well as verifying the exponential stability of the system. Eventually, simulations we have done suggest that the effectiveness of the designed control is feasible.

关键词： axially moving system distributed parameter system fault‐ tolerant control Lyapunov function time‐ varying constraints

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