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Output Feedback Synchronization for Networks of Hyperbolic PDE–ODE systems

IFAC-PapersOnLine 2022年第26期55卷 119-124页

作者： Jakob Gabriel Joachim Deutscher Institute of Measurement Control and Microtechnology Ulm University Albert-Einstein-Allee 41 89081 Ulm Germany

This paper considers the output feedback design for the leader-follower synchronization of a network of linear hyperbolic PDE–ODE systems and in particular ODE agents subject to distinct input and output delays. For a communication restricted by a directed graph, a cooperative state feedback is designed using a local backstepping stabilization of the PDE subsystem and a cooperative decoupling transformation. With this, the synchronization problem is traced back to a simultaneous stabilization of the boundary ODEs without introducing additional dynamics in the networked controller. For general PDE–ODE agents an observer using absolute measurements is proposed, while for ODE agents with delays the observer only requires relative measurements. The results of this paper are demonstrated for the output feedback synchronization of ODE agents with distinct input and output delays.

关键词： Multi-agent systems distributed-parameter systems hyperbolic systems delays backstepping

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ADAPTIVE CONTROL OF A DENITRIFYING BIOFILTER WITH APPLICATION OF THE SUBSTRATE CONSUMPTION RATE

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IFAC Proceedings Volumes 2002年第1期35卷 85-90页

作者： J. Czeczot M. Metzger J.P. Babary Institute of Automatic Control Technical University of Silesia ul. Akademicka 16 44-100 Gliwice Poland Laboratoire d'Analyse et d'Architecture des Systemes Centre National de la Recherche Scientifique (LAAS/CNRS) 7 avenue du Colonel Roche 31077 Toulouse Cedex 4 France

This paper deals with the generalised approach to the adaptive control of a denitrifying biofilter with application of the substrate consumption rate. It is shown how to derive the control law on the basis of the simplified form of the dynamical equation written for the controlled variable with the possibly minimal knowledge about the process kinetics and components. In this equation all reaction rates are replaced by the only one time varying parameter (substrate consumption rate) and its value is estimated on-line by the recursive least-squares method at the biofilter outlet to ensure the adaptability of the control law. The suggested methodology is evaluated by simulation with application to the complete nonlinear model of the biofilter.

关键词： Model-based control Adaptive control Least-squares estimation Biotechnology distributed-parameter systems

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Semi-numerical trajectory planning for coupled systems of linear diffusion-convection-reaction equations

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IFAC Proceedings Volumes 2013年第26期46卷 31-36页

作者： J. Schmidt T. Meurer Automation and Control Institute TU Vienna Gusshausstr. 27-29 1040 Vienna Austria Chair of Automatic Control Christian-Albrechts-University Kiel Kaiserstr. 2 24143 Kiel Germany

The trajectory planning problem is considered for coupled linear diffusion-convection-reaction equations using a semi-numerical approach. For this, spatial discretization is applied to determine approximate solutions to the eigenvalue problem, which are processed in a spectral approach for flatness-based trajectory planning and feedforward control. The assignment of suitable desired trajectories for the flat output is considered to realize finite time transitions between operating points as well as transient output trajectories. Simulation results for an example with cross-diffusion document the applicability of the proposed method.

关键词： distributed-parameter systems trajectory planning feedforward control flatness diffusion-convection-reaction equations cross-diffusion

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OPTIMAL JACKETED TUBULAR REACTOR OPERATION: CLASSIC VS. FLOW REVERSAL

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IFAC Proceedings Volumes 2007年第5期40卷 355-360页

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

Optimal steady-state temperature profiles for jacketed tubular reactors often exhibit a trapezoidal shape along the reactor, i.e., first an increase, then a constant part and finally a decrease (Smets et al. , 2002; Logist et al. , 2006&). The practical realisation of these reactor temperature profiles is complex given the (infinite dimensional) spatially varying jacket fluid temperature profile required for the constant reactor temperature part. Therefore, based on simulations this paper compares two practically feasible alternatives with a near-optimal performance. The first splits the jacket into a finite number of isothermal zones. The second considers a flow reversal strategy, which also induces trapezoidally shaped temperature profiles (Logist et al. , 2006a).

关键词： chemical reactors computer-aided design computer simulation distributed-parameter systems model-based control optimal control

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Prediction-free tracking control for systems with incommensurate lumped and distributed delays: Two examples *

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IFAC Proceedings Volumes 2012年第14期45卷 37-42页

作者： Nicole Gehring Joachim Rudolph Frank Woittennek Chair of Systems Theory and Control Engineering Saarland University 66123 Saarbrücken Germany Lehrstuhl für Regelungs- und Steuerungstheorie Technische Universität Dresden 01062 Dresden Germany

Linear systems with lumped and distributed delays can be represented by modules over the ring of entire functions in Ĉ( s )[e – τs ]. While in the case of commensurate delays spectral controllability is sufficient for the existence of a basis of this module, in the incommensurate case addressed here additional conditions are required. Exploiting the relations between the (known) delay amplitudes a new module with favorable freeness properties can be defined. Based on that, necessary and sufficient conditions for the freeness of this module are presented. If these conditions are satisfied a basis can be used to derive a flatness-based tracking control without any explicit predictions. The approach is illustrated on a neutral system and on a system with distributed delays.

关键词： prediction problems delay compensation distributed-parameter systems controllability system theory

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Feedback Control Design of Constrained Parabolic systems in Uncertainty Conditions

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IFAC Proceedings Volumes 1996年第1期29卷 1667-1672页

作者： Boris S. Mordukhovich K. Zhang Dept. of Math. Wayne State University Detroit MI 48202

The paper presents recent results by the authors on minimax control design of parabolic systems in uncertainty conditions under hard control and state constraints. The design procedure involves multi-step approximations and takes into account monotonicity properties of the parabolic dynamics. The results obtained justify a suboptimal three-positional structure of feedback controllers in the Dirichlet and Neumann boundary conditions and provide calculations of their optimal parameters that ensure the required state performance and stability under any admissible perturbations.

关键词： Closed-loop controllers distributed-parameter systems uncertainty constraints suboptimal control stability analysis

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Log-Normal Merging for distributed System Identification

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IFAC Proceedings Volumes 2009年第10期42卷 551-556页

作者： Václav Ŝmídl Miroslav Kárný Institute of Information Theory and Automation Prague Czech Republic

Growing interest in applications of distributed systems, such as multi-agent systems, increases demands on identification of distributed systems from partial information sources collected by local agents. We are concerned with fully distributed scenario where system is identified by multiple agents, which do not estimate state of the whole system but only its local ‘state'. The resulting estimate is obtained by merging of marginal and conditional posterior probability density functions (pdf) on such local states. We investigate the use of recently proposed non-parametric log-normal merging of such ‘fragmental’ pdfs for this task. We derive a projection of the optimal merger to the class of weighted empirical pdfs and mixtures of Gaussian pdfs. We illustrate the use of this technique on distributed identification of a controlled autoregressive model.

关键词： system identification distributed-parameter systems distributed artificial intelligence decentralized systems

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Virtual Decomposition Control of a Planar Flexible-Link Robot

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IFAC Proceedings Volumes 2008年第2期41卷 1697-1702页

作者： Wen-Hong Zhu Christian Lange Mathilde Callot Spacecraft Engineering Space Technologies Canadian Space Agency 6767 route de l'Aeroport Saint-Hubert QC Canada J3Y 8Y9 (Tel: 450-926-5177

Use of flexible link robots is motivated by applications featuring lightweight or long arms. However, the control problem faces strong technical challenges resulting from the complex dynamics. In this paper, the virtual decomposition control (VDC) approach is applied for the first time to address the technical challenges of this thorny problem mainly resulting from the dynamic coupling effects among flexible links. In view of the VDC approach, the control problem of a multiple-flexible-link robot is no more complex than the control problem of individual flexible links subject to kinematics constraints. A planar beam governed by Euler-Bernoulli equation is studied as an example for simplicity. A possible extension to robots with multiple flexible links is theoretically possible by creating appropriate virtual power flows at the two ends of each beam. The validity of the theoretical results is verified by simulations with respect to two typical space systems in planar motion.

关键词： Virtual decomposition control Flexible arms Robot control End point control Model-based control distributed-parameter systems Partial differential equations

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Model-Based Temperature Control in Thermal Processing of Silicon Wafers

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IFAC-PapersOnLine 2022年第26期55卷 180-186页

作者： Stefan Koch Alexander Schaum Martin Kleindienst Markus Reichhartinger Thomas Meurer Jaime A. Moreno Martin Horn Chair of Automation and Control Kiel University Kiel Germany Lam Research AG Villach Austria Institute of Automation and Control Graz University of Technology Graz Austria Instituto de Ingeniería Universidad Nacional Autónoma de México México D.F. Mexico

The paper proposes a model-based control approach for thermal processing of silicon wafers such as rapid thermal processing. Heating of the wafer is achieved with a large number of high-power LEDs which enable targeted heating over the entire spatial domain. Taking advantage of this feature, a distributed PI controller is first designed assuming an idealized distributed input. This control signal is then approximated by the actual control that enters the system through shape functions using an optimization procedure. A formal analysis of the input-to-state stability with respect to the actuator error, extension with an anti-windup scheme and an experimental validation of the proposed approach are presented.

关键词： distributed-parameter systems Model-based control Temperature control Anti-windup Input-to-state stability Manufacturing processes

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On the Measurement Allocation Problem for distributed System

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IFAC Proceedings Volumes 1997年第10期30卷 149-154页

作者： M.I. Gusev A. Romanov Institute of Mathematics and Mechanics 620219 Ekaterinburg Russia Moscow State University 119899 Moscow Russia

A linear distributed-parameter system, described by diffusion equation in R with uncertainty in the right-hand side is considered. It is assumed that all accessible information on the solution of the system is given by the measurements perfomed by the sensors at the finite number of points. The considered model of uncertainty and measurements errors is non-stochastic with set-membership description of unknowns. The problem of allocation of the sensors inside given domain in order to ensure the best possible estimate of the linear functional of solution is considered. The ”duality” results, which states that considered problem is equivalent to some impulsive control problem are given. Assuming that unknown data do not depend on time the theorem on sufficient number of sensors is proved and the reduction of measurements allocation problem to the nonlinear programming problem is described.

关键词： distributed-parameter systems state estimation uncertain linear systems sensors impulses

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