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New Engineering Methods for Quantities Fields distributed parameter systems Control

IFAC Proceedings Volumes 1989年第18期22卷 159-164页

作者： G. Hulko I. Navracic B. Rohal-Ilkiv L. Sapak M. Zilka P. Zelinka Department of Control and Measurement Slovak Technical University Gottwaldovo nam. c. 17 CS 812 31 Bratislava Czechoslovakia Laboratory of Thermal Energy Slovak Technical University Gottwaldovo nam. c. 17 CS 812 31 Bratislava Czechoslovakia

New engineering methods for quantities fields control and for optimal design of technical systems for quantities fields interactions will be indicated in the paper on the basis of a new interpretation of Disributed parameter systems CDPS3 - by means of Lumped input and distributed output systems (LDS). The new concept of control theory : LDS gives wide possibilities for the solution of these problems also in intentions of LOW COST AUTOMATION.

关键词： Quantities Fields distributed parameter system Lumped input and distributed output system Lumped parameter system distributed parameter systems optimal design Control Computer Aided Design of distributed parameter systems of Control

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On Optimal Control for distributed parameter systems

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IFAC Proceedings Volumes 1981年第2期14卷 207-212页

作者： Li Xunjing Yao Yunlong Department of Mathematics Fudan University Shanghai China Research Institute of Mathematics Fudan University Shanghai China

The optimal oontrol problem of the time-varying distributed parameter systems in a Banaoh space are discussed. The olosure of the reachable region of the system is proved to be a convex set even when the control domain is not convex. For the time optimal control a formula for computing the optimal time is obtained and the necessary and sufficient oonditions for holding the maximum principle are derived. The boundary control problem of parabolio systems is discussed for application. The maximum principle of the quadratio optimal control with non-convex constraint is proved.

关键词： Optimal control time optimal control quadratic optimal control time-varying system distributed parameter system reachable region maximum principle

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Robust tracking control of column froth flotation process with an unknown disturbance

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AICHE JOURNAL 2021年第8期67卷 e17233-e17233页

作者： Xu, Xiaodong Dubljevic, Stevan Cent South Univ Sch Automat Changsha Peoples R China Univ Alberta Dept Chem & Mat Engn Edmonton AB T6G 2G6 Canada

This manuscript develops a robust output regulator for the column froth flotation process in the presence of unknown disturbance. In particular, motivated by relevant physical modeling setting, all information (including magnitude, phase, bias, and frequency) of the disturbance is unavailable. The system considered is consisting of froth and collection zones and is governed by a set of conservative heterodirectional transport hyperbolic partial differential equations (PDEs). Moreover, the transport related time delay between the froth and the collection region is considered, and is associated with the boundary conditions of the PDEs. The velocity of the feed is considered the input and the concentration of the solid particle with air phase at the top of froth region as the output. We propose a disturbance frequency identifier and formulate a robust controller according to the internal model principle such that the output tracks the desired concentration despite the model uncertainties and unknown disturbance.

关键词： distributed parameter system disturbance frequency identifier error feedback internal model principle partial differential equation

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Nonlinear observation in fuel cell systems: A comparison between disturbance estimation and High-Order Sliding-Mode techniques

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INTERNATIONAL JOURNAL OF HYDROGEN ENERGY 2016年第43期41卷 19737-19748页

作者： Luna, Julio Usai, Elio Husar, Attila Serra, Maria CSIC UPC Inst Robot & Informat Ind C Llorens & Artigas 4-6 Barcelona 08028 Spain Univ Cagliari DIEE I-09123 Cagliari Italy

This paper compares two Nonlinear distributed parameter Observers (NDPO) for the observation of a Proton Exchange Membrane Fuel Cell (PEMFC). Both NDPOs are based on the discretisation of distributed parameters models and they are used to estimate the state profile of gas concentrations in the anode and cathode gas channels of the PEMFC, giving detailed information about the internal conditions of the system. The reaction and water transport flow rates from the membrane to the channels are uncertainties of the observation problem and they are estimated throughout all the length of the PEMFC without the use of additional sensors. The first observation approach is a Nonlinear Disturbance Observer (NDOB) for the estimation of the disturbances in the NDPO. In the second approach, a novel implementation of a High-Order Sliding-Mode (HOSM) observer is developed to estimate the true value of the states as well as the reaction terms. The proposed observers are tested and compared through a simulation example at different operating points and their performance and robustness is analysed over a given case study, the New European Driving Cycle. (C) 2016 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.

关键词： PEMFC distributed parameter system Nonlinear observer Disturbance observer Sliding-mode

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Optimizing the Placement and Number of Measurement Points in Heating Process Control

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AUTOMATION AND REMOTE CONTROL 2023年第6期84卷 641-654页

作者： Abdullayev, V. M. Azerbaijan State Oil & Ind Univ Baku Azerbaijan Minist Sci & Educ Republ Azerbaijan Inst Control Syst Baku Azerbaijan

In this paper, a heating process control law with steam supply is designed for a fluid in a heat exchanger. The process is described by a linear hyperbolic equation of the first order with a nonlocal boundary condition with a time-delayed argument. The temperature of the supplied steam is found as a linear dependence on fluid temperature values at measurement points in the heat exchanger. Explicit formulas are obtained for the gradient of the objective functional of the control problem in the space of the feedback coefficients (parameters) of this dependence. A numerical scheme is developed for determining the feedback parameters based on these formulas. Finally, an algorithm is proposed for determining the rational (optimal) number of measurement points.

关键词： distributed parameter system heating process control feedback measurement point gradient of the functional feedback parameters

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A local approach for the LPV identification of an actuated beam using piezoelectric actuators and sensors

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MECHATRONICS 2014年第4期24卷 289-297页

作者： Liu, Qin Gross, Joseph Pfeiffer, Sven Werner, Herbert Hamburg Univ Technol Inst Control Syst D-21073 Hamburg Germany

This paper considers the identification of structural dynamics by identifying its frequency response functions (FRFs) - a mathematical representation of the relationship between the vibration response at one location and excitation at the same or another location. The spatially-varying characteristics of the FRFs at various input and output locations are explored, and lead to a spatial linear parameter varying (LPV) representation. A local LPV identification technique for lumped systems is adapted here to spatially-interconnected systems. The identification of a spatial LPV model facilitates the experimental work, and also simplifies the controller synthesis. The proposed approach is applied to identify an actuated beam equipped with an array of collocated piezoelectric actuators and sensors for performance illustration. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： distributed parameter system system identification Linear parameter varying Local approach Piezoelectric

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Dynamical Modeling and Boundary Vibration Control of a Rigid-Flexible Wing system

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IEEE-ASME TRANSACTIONS ON MECHATRONICS 2020年第6期25卷 2711-2721页

作者： He, Wei Wang, Tingting He, Xiuyu Yang, Lung-Jieh Kaynak, Okyay 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 Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China Univ Sci & Technol Beijing Shunde Grad Sch Foshan 528399 Peoples R China Tamkang Univ Dept Mech & Electromech Engn Tamsui 25137 Taiwan Bogazici Univ TR-34342 Istanbul Turkey Univ Sci & Technol Beijing Beijing 100083 Peoples R China

A boundary control approach is used to control a two-link rigid-flexible wing in this article. Its design is based on the principle of bionics to improve the mobility and the flexibility of aircraft. First, a series of partial differential equations (PDEs) and ordinary differential equations (ODEs) are derived through the Hamilton's principle. These PDEs and ODEs describe the governing equations and the boundary conditions of the system, respectively. Then, a control strategy is developed to achieve the objectives including restraining the vibrations in bending and twisting deflections of the flexible link of the wing and achieving the desired angular position of the wing. By using Lyapunov's direct method, the wing system is proven to be stable. The numerical simulations are carried out with the finite difference method to prove the effectiveness of designed boundary controllers.

关键词： Vibrations IEEE transactions Mechatronics Biomimetics Mathematical model Strain Actuators Boundary control distributed parameter system rigid-flexible coupled wing vibration control

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SOME REMARKS ON OPTIMAL INTERPOLATION

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systemS & CONTROL LETTERS 1988年第4期11卷 259-264页

作者： FOIAS, C TANNENBAUM, A INDIANA UNIV DEPT MATHBLOOMINGTONIN 47401 UNIV MICHIGAN DEPT ELECT ENGNANN ARBORMI 48109 BEN GURION UNIV NEGEV DEPT MATHBEERSHEVAISRAEL

We give in this note very simple new formula for the optimal solution of a generalized interpolation problem which arises in the weighted sensitivity H ∞ -minimization for distributed systems. This is based on our wo... 详细信息

关键词： Weighted sensitivity minimization Skew Toeplitz operator distributed parameter system Generalized interpolation

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Fractional-Order Tension Control Law for Deployment of Space Tether system

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2014年第6期37卷 2062-2066页

作者： Sun, Guanghui Zhu, Z. H. Harbin Inst Technol Harbin 150001 Peoples R China York Univ Dept Earth & Space Sci & Engn Toronto ON M3J 1P3 Canada

One of the critical issues for space tether missions is the stable deployment of the tether. Many effective control strategies and devices have been proposed for the deployment. First, it is more suitable for modeling flexible structures because of its unique historical memory effect. Second, it provides an effective and clear-cut robust control strategy, especially for distributed parameter systems. Third, it responds to control input faster, with smaller overshoots than its integer counterpart. It is shown that the stable region of classic integer-order tension control is the subset of the stable region of the fractional-order tension control. The newly proposed fractional-order control law has been discretized and implemented by the frequency approximation method and the Tustin operator. The effectiveness and advantage of the new fractional-order tension control law is demonstrated by simulation.

关键词： Space Tethers distributed parameter system Satellites Nonlinear Feedback Earth Space Tether Missions Lead Lag Compensator Flexible Structures

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Control of axial temperature distribution in a packed-bed reactor

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JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 1998年第3期31卷 381-390页

作者： Yoshida, M Matsumoto, S Tohoku Univ Dept Chem Engn Sendai Miyagi 9808579 Japan

Control of temperature profiles of a tubular packed-bed reactor with our proposed design method for a parabolic distributed parameter system is investigated. The oxidation reactor of carbon monoxide over a platinum-catalyst is used as a controlled process. The reactor dynamics are modeled by a simple parabolic partial differential equation in one-dimensional space, on the assumption that temperature distribution in the radial direction of the reactor is negligible. A state feedback controller was designed by use of a reduced order lumped parameter system, which was obtained by applying the finite integral transform technique to the phenomenological model of the process. It is demonstrated that hot-spot temperatures can be eliminated and the axial temperature profile of the reactor fan be made to agree well with a specified target profile.

关键词： process control distributed parameter system packed-bed reactor temperature profile state estimation

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