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24th International Symposium on Mathematical Theory of Networks and systems (MTNS)

作者： Opmeer, Mark R. Univ Bath Dept Math Sci Bath Avon England

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. Copyright (C) 2021 The Authors.

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

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Feedforward control of a channel flow based on a discretized port-Hamiltonian model 5

Feedforward control of a channel flow based on a discretized...

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5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control

作者： Kotyczka, Paul Blancato, Antonio Tech Univ Munich Inst Automat Control D-85748 Garching Germany

systems of conservation laws can be modeled (including dissipation) in an elegant, physically insightful way within the port-Hamiltonian framework. A structure-preserving discretization renders the partial differential equations ordinary ones. In this paper, we show how the structure of the lumped-parameter state representation for two conservation laws On a One-dimensional. spatial domain can he exploited to easily formulate different (inverse) models. Based thereon, a simple modular procedure for feedforward controller design is developed, using known results from the dynamic inversion of nonminimilm-phase systems. The example of the shallow water equations serves to illustrate the design steps and to present simulation results. (C) 2015, ILAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed-parameter systems conservation laws port-Hamiltonian systems discretization feedforward control stable dynamic inversion

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Fault detection for parabolic systems with distributed inputs and outputs using the modulation function approach

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IFAC-PapersOnLine 2017年第1期50卷 6774-6779页

作者： Fischer F. Deutscher J. Lehrstuhl für Regelungstechnik Universität Erlangen-Nürnberg Cauerstraße 7 Erlangen D-91058 Germany

An algebraic method to the fault detection for parabolic systems with distributed inputs and outputs is presented in this contribution. The modulation functions method is used to derive an algebraic expression for the fault detection, that only depends on known signals. This allows the detection of the absolute value of piecewise constant faults without a system approximation, despite the occurrence of disturbances. It is shown that the modulation function can be described by a distributed-parameter signal model with a distributed input. For its derivation a systematic approach is proposed, which involves the introduction of suitable in-domain pointwise and boundary measurements. Then, the modulation function follows from solving a trajectory planning problem for its signal model. The results of the paper are illustrated for the actuator and sensor fault detection of a heat conductor. © 2017

关键词： distributed-parameter systems fault detection modulation function set-point change trajectory planning

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Output feedback boundary control of series interconnections of 2 x 2 semilinear hyperbolic systems

Output feedback boundary control of series interconnections ...

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20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

作者： Strecker, Timm Aamo, Ole Morten Norwegian Univ Sci & Technol NTNU Dept Engn Cybernet N-7491 Trondheim Norway

In this paper, we present an output feedback controller for systems consisting of n 2 x 2 semilinear hyperbolic systems in series interconnection where actuation and sensing are restricted to one boundary. The output-feedback control law consists of a state-feedback controller combined with an observer. The control and estimation laws are based on the dynamics on the characteristic lines of the hyperbolic system, and achieve stabilization of the origin or tracking at one location, and full state estimation, respectively, globally and in minimum time. We demonstrate the controller performance in a numerical example, and apply the controller to a relevant disturbance rejection problem in oil well drilling. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed-parameter systems Boundary control Minimum-time control Stabilization Regulation Estimation

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Output Feedback Synchronization for Networks of Hyperbolic PDE-ODE systems 4th

Output Feedback Synchronization for Networks of Hyperbolic P...

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4th IFAC Workshop on Control of systems Governed by Partial Differential Equations (CPDE)

作者： Gabriel, Jakob Deutscher, Joachim Ulm Univ Inst Measurement Control & Microtechnol Albert Einstein Allee 41 D-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. Copyright (C) 2022 The Authors.

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

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Benchmarking of Industrial Stick-Slip Mitigation Controllers

Benchmarking of Industrial Stick-Slip Mitigation Controllers

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3rd IFAC Workshop on Automatic Control in Offshore Oil and Gas Production (OOGP)

作者： Aarsnes, Ulf Jakob F. di Meglio, Florent Shor, Roman J. Int Res Inst Stavanger Oslo Norway DrillWell Drilling & Well Ctr Improved Recovery Stavanger Norway Mines ParisTech Ctr Automat & Syst Paris France Univ Calgary Dept Chem & Petr Engn Calgary AB Canada

The present paper evaluates how three different top-drive feedback controllers influence the occurrence of a stick-slip limit cycle in a rotating drill string. The considered controllers are: 1) The industry standard stiff, high-gain controller, 2) SoftTorque, and, 3) ZTorque. The evaluation is performed as a simulation study on a distributed model of a drill string with a collar section and Coulomb friction as a distributed source term. This model is capable of replicating stick-slip oscillations as caused by the reduction in friction from static to dynamic, and have been shown to yield a good match with field data. The simulation study is summarized as a map for each controller indicating the existence and amplitude of oscillations, parametrized in the key friction parameters. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Drilling control & automation Closed-loop control control system analysis distributed-parameter systems motor control

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Backstepping design of robust state feedback regulators for second order hyperbolic PIDEs

Backstepping design of robust state feedback regulators for ...

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2nd IFAC Workshop on the Control of systems Modeled by Partial Differential Equations (CPDE)

作者： Deutscher, J. Kerschbaum, S. Univ Erlangen Nurnberg Lehrstuhl Regelungstech Cauerstr 7 D-91058 Erlangen Germany

This contribution considers the backstepping design of robust state feedback regulators for second order hyperbolic partial integro-differential equations (PIDEs). To this end, the internal model principle is applied, which amounts to designing a stabilizing backstepping controller for a PIDE-ODE system. By transforming this system into a PDE-ODE cascade a systematic design procedure is presented. Then, robust output regulation is verified for non-destabilizing model uncertainties by means of the extended regulator equations. The results of the article are applied for the robust output regulation of a shear beam with a destabilizing boundary condition. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed-parameter systems hyperbolic systems robust output regulation backstepping state feedback

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Optimal Steady-State Temperature Field in an Experimental Annealing Furnace

Optimal Steady-State Temperature Field in an Experimental An...

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17th IFAC Symposium on Control, Optimization and Automation in Mining, Mineral and Metal Processing (MMM)

作者： Jadachowski, L. Steinboeck, A. Kugi, A. Vienna Univ Technol Automat & Control Inst Christian Doppler Lab Model Based Control Steel I Gusshausstr 27-29 A-1040 Vienna Austria Vienna Univ Technol Automat & Control Inst Gusshausstr 27-29 A-1040 Vienna Austria

The computation of an optimal steady-state operating point in an experimental annealing furnace is considered. In particular, the optimum spatial distribution of electric power supplied to IR-lamps is computed to ensure the temperature uniformity in the specimen fillet. A control-oriented reduced-order model of the steady-state 2D temperature distribution is derived and compared with the full-order model. Saturation functions are used to consider input constraints in a tailored optimization problem. The evaluation of the optimal control input is carried out with the full-order model. Uniqueness of the solution of the optimization problem is investigated numerically. The temperature field in the specimen fillet deviates less than 0.4% of the setpoint value if sufficient heating power is available. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Optimal operating point distributed-parameter systems Elliptic quasilinear PDE Model reduction FE method Non-equidistant grid

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Realtime-capable FE-based railway catenary emulation via pantograph test rig impedance control

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IFAC-PapersOnLine 2017年第1期50卷 8636-8641页

作者： Aschauer G. Schirrer A. Kozek M. Jakubek S. Institute of Mechanics and Mechatronics Division of Control and Process Automation Technische Universität Wien Getreidemarkt 9/325-A5 Vienna A-1060 Austria

This work shows novel results of emulating railway catenary dynamics on a test rig for pantograph testing in order to provide for virtual test rides of railway pantograph current collectors under laboratory conditions. A realtime-capable finite-element model of a railway catenary is formulated efficiently in moving coordinates. An advanced test rig impedance control architecture is adopted for the finite-element model structure, and detailed simulations of an existing full-size pantograph test rig are carried out. The high fidelity of the realtime catenary model as well as the emulation performance of the closed-loop test rig setup in contact with a pantograph model provides promising results for the future implementation of the simulation/control architecture on the test rig hardware. © 2017

关键词： distributed-parameter systems finite elements Impedance control partial differential equations predictive control railways

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Design and Experimental Validation of an Output Feedback Controller for a Pneumatic System with distributed parameters 18

Design and Experimental Validation of an Output Feedback Con...

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18th International Conference on Control, Automation and systems (ICCAS)

作者： Kern, R. Gehring, N. Deutscher, J. Meissner, M. Tech Univ Munich Chair Automat Control D-85748 Garching Germany Johannes Kepler Univ Linz Inst Automat Control & Control Syst Technol A-4040 Linz Austria Friedrich Alexander Univ Erlangen Nurnberg Chair Automat Control D-91058 Erlangen Germany

ISBN: (纸本)9788993215151

This paper considers the model-based control of a pneumatic system, where a tank is connected to a valve via a long tube. Due to the significant distance between the control input and the pressure in the tank to be controlled, a distributed-parameter model is used for the tube, involving quasilinear hyperbolic partial differential equations. In contrast, the tank is modelled by ordinary differential equations. Experimental data verifies the validity of the corresponding quasilinear system model. Based on a less accurate, linear PDE-ODE system model, derived there upon, both, a backstepping controller and a backstepping observer are designed. The resulting output feedback controller is augmented by a flatness-based feedforward controller. Experimental results for tube lengths of approximately five and twenty meters show that this controller allows to track fast pressure changes in the tank almost perfectly.

关键词： pneumatic systems distributed-parameter systems partial differential equations model-based control feedback control observer backstepping experimental validation

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