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PORT REPRESENTATIONS OF THE TELEGRAPHER'S EQUATIONS

IFAC Proceedings Volumes 2005年第1期38卷 958-963页

作者： J.A. Villegas H. Zwart A.J. van der Schaft Department of Applied Mathematics University of Twente PO Box 217 7500 AE Enschede The Netherlands

This article studies the telegrapher's equations with boundary port variables. Firstly, a link is made between the telegrapher's equations and a skew-symmetric linear operator on a spatial domain. Associated to this linear operator is a Dirac structure which includes the port variables on the boundary of this spatial domain. Secondly we present all partitions of the port variables into inputs and outputs for which the state dynamics is dissipative. Particularly we recognize the possible input-outputs for which the system is impedance energy-preserving, i.e., as well as scattering energy-preserving, i.e., Additionally, we show how to represent the corresponding system as an abstract infinite-dimensional system, i.e., and.

关键词： Transmission lines distributed-parameter systems modelling

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Flatness-based algebraic fault identification for a wave equation with dynamic boundary conditions

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IFAC-PapersOnLine 2020年第2期53卷 7647-7652页

作者： F. Fischer J. Deutscher Institut für Mess- Regel- und Mikrotechnik Universität Ulm Albert-Einstein-Allee 41 D-89081 Ulm Germany

This paper presents a fault identification approach for a boundary controlled wave equation with dynamic boundary conditions. The faulty system is subject to an additive time-varying actuator fault and an unknown in-domain disturbance. These signals are assumed to be the solution of a finite-dimensional signal model so that polynomial and trigonometric faults as well as disturbances can be taken into account. By making use of integral transformations an algebraic expression is derived to obtain the fault from the known input and output in finite time. The kernels determining the integral transformations are obtained by solving the so-called kernel equations. This problem is traced back to the flatness-based realization of a setpoint change for an ODE-PDE casacade. From this, a condition for fault identification is derived. A simulation example demonstrates the proposed approach.

关键词： distributed-parameter systems fault diagnosis flatness motion planning modulating functions

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OPTIMAL CONTROL OF DISPERSIVE TUBULAR CHEMICAL REACTORS: PART II

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IFAC Proceedings Volumes 2005年第1期38卷 297-302页

作者： F. Logist I.Y. Smets A. Vande Wouwer J.F. Van Impe BioTeC Department of Chemical Engineering Katholieke Universiteit Leuven W. de Croylaan 46 B-3001 Leuven Belgium Service d'Automatique Faculté Polytechnique de Mons Boulevard Dolez 31 B-7000 Mons Belgium

While in the first paper of this series of two, optimal jacket fluid temperature control profiles have been derived for a family of dispersive tubular chemical reactors, the performance of these optimal profiles is further assessed in this second part. First, the performance of the optimal bang-bang control is compared with that of a more easily implementable constant jacket fluid temperature and secondly, the transient behaviour is studied, when the steady-state optimal control law is applied from the reactor start-up.

关键词： chemical industry distributed-parameter systems model-based control optimal control reactor control second-order systems

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State and parameter Estimation in Cement Grinding Circuits - Practical Aspects

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IFAC Proceedings Volumes 2004年第9期37卷 745-750页

作者： R. Lepore A. Vande Wouwer M. Remy Ph. Bogaerts Labomtoire d'Automatique Faculté Polytechnique de Mons Boulevard Dolez 31 B-7000 Mons Belgium Service d'Automatique et d'Analyse des Systèmes Université Libre de Bruxelles

Due to the lack of reliable and/or inexpensive hardware sensors in cement grinding, development of software sensors is particularly significant for control and monitoring purposes. In this study, a nonlinear distributed-parameter, full-horizon observer is designed, which allows the contents of the mill to be described in terms of hold-up and particle size distribution. When measurements are available at relatively high sampling rates and at, at least, two spatial locations along the mill, fast observer convergence is obtained. However, in practical situations where measurements can be collected at the mill outlet only and with a relatively low sampling rate, the observer convergence deteriorates and, as the sampling rate decreases, performance becomes similar to an asymptotic (simulation) observer. The robustness of the software sensor can be improved by on-line identification of some time-varying parameters, such as the material grindability. These several concepts are discussed and tested in simulation based on a realistic process model.

关键词： distributed-parameter systems nonlinear models softsensing observers process control industrial production systems

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Optimization Methods for Discontinuous and Smooth Controls in Semi-Linear Hyperbolic systems

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IFAC Proceedings Volumes 1996年第1期29卷 1781-1785页

作者： A.V. Arguchintsev O.V. Vasiliev Irkutsk State University Mathematical Department Irkutsk 664003. Russia.

Two types of algoritms of optimization of controlled processes described by semi-linear hyperbolic equations systems are suggested in this paper. The first type of algorithms is based on the analogue of L.S. Pontryagin's needle variation and its convergence is realized in the sense of tendency to the maximum principle. The second type of algorithms is constructed basing on the analogue of inner variation. This algorithm is considered for hyperbolic systems with additional integral constraints. Neither techniques of Lagrange multipliers nor ideas of penalty functions are used, although they are usually applied to solve optimization problems with additional constraints. The algorithm converges to new necessary conditions of optimality.

关键词： Optimal control distributed-parameter systems maximum principle algorithms convergence of numerical methods

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Fuzzy Adaptive Control of a Plug Flow Tubular Reactor

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IFAC Proceedings Volumes 1998年第11期31卷 685-689页

作者： C.I. Siettos A.G. Boudouvis G.V. Bafas Department of Chemical Engineering National Technical University of Athens Zografou Campus Athens 157 80 Greece

A self-organizing, fuzzy controller is proposed for the adaptive control of a tubular reactor. Its design is based on a heuristic approach and it involves two functions: creating and modifying the control rules for a fuzzy logic controller and adjusting the universe of discourse based on system performance observed. The proposed controller is compared against a conventional PID controller which is tuned by two methods: either by the process reaction tuning method or by minimising the IAE time integral performance criterion. The proposed self-organizing controller, exhibits a superior performance in comparison with the PID tuned through the process and an equivalent, if not better performance than the PID controller whose parameters are adjusted optimally for minimising the IAE dynamic criterion.

关键词： distributed-parameter systems Nonlinear systems Fuzzy control Self-organizing systems

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A Note on Power Stability of Linear Time-Varying Infinite-Dimensional Discrete-Time systems

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IFAC Proceedings Volumes 1997年第27期30卷 461-465页

作者： K. Maciej Przyłuski Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 P.O. Box 137 00-950 Warszawa Poland email:

The concept of uniform power stability is studied in detail. A characterization of the class of linear time-varying infinite-dimensional discrete-time systems for which uniform power stability implies uniform power eq... 详细信息

关键词： Stability analysis Linear systems distributed-parameter systems Discrete-time systems Difference equations Linear systems

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PID-Deadtime Control of distributed Processes

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IFAC Proceedings Volumes 2000年第4期33卷 13-17页

作者： F.G. Shinskey Process Control Consultant

While model-based controllers have been used successfully to control paper machines and other processes dominated by time delay, matching the model to the process gives poor load regulation over lag-dominant processes. An important class of lag-dominant processes including heat exchangers and distillation columns consists of distributed lags. A PID controller having time-delay compensation, while functionally similar to a model-based controller, is a much better load regulator, and twice as effective as a conventional PID controller on these processes. It is applied in this paper to regulate steam superheat temperature.

关键词： Adaptive control distillation columns distributed-parameter systems heat exchangers load regulation model-based control PID control steam plant temperature control time delay

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Direct Adaptive Control of a Linear Parabolic System

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IFAC Proceedings Volumes 2000年第15期33卷 527-531页

作者： Stéphane Renou Michel Perrier Denis Dochain Sylvain Gendron Département de génie chimique École Polytechnique de Montréal C.P. 6079 succ. Centre-ville Montréal H3C BA 7 Université Catholique de Louvain Bâtiment Euler Av. G. Lemaître 4-6 1348 Louvain-La-Neuve Belgium PAPRICAN 570 Blvd St-Jean Pointe-Claire H9R 3J9

This paper presents an adaptive model reference algorithm for a linear distributed parameter system with input boundary control and output boundary reference. The control and adaptation laws are based a model reference adaptive control approach. This controller is applied to a tubular reactor model with unknown kinetic parameters. Simulation results are shown for set-point changes, variation of kinetic parameters and input perturbation.

关键词： distributed-parameter systems Lyapunov methods adaptive control process control boundary conditions parameter estimation

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A convergence rate for the ADI method for infinite-dimensional Lyapunov equations

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IFAC-PapersOnLine 2021年第9期54卷 373-377页

作者： Mark R. Opmeer Department of Mathematical Sciences University of Bath United Kingdom

We show that the ADI method for a class of infinite-dimensional Lyapunov equations with appropriately chosen shift parameters converges exponentially in the square root. The main assumption on the class of Lyapunov equations is that the main operator generates an analytic semigroup. Rather than directly analyzing the ADI algorithm, we instead use that the ADI error is bounded by the error made by applying quadrature to the inverse Laplace transform integral of the output map and we analyze the error made by this quadrature approximation.

关键词： distributed-parameter systems Lyapunov equation ADI method Laplace transforms Convergence of numerical methods

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