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A Low Cost Filter Design for State and parameter Estimation in very High Dimensional systems

IFAC Proceedings Volumes 2014年第3期47卷 3256-3261页

作者： Hong Son Hoang Remy Baraille SHOM/HOM/REC 42 av Gaspard Coriolis 31057 TOULOUSE FRANCE (Tel: 33 (0)5 67 76 68 23 SHOM/HOM/REC 42 av Gaspard Coriolis 31057 TOULOUSE FRANCE (Tel: 33 (0)5 67 76 68 44

In this paper we consider the filter design problem for very high dimensional systems. Assuming the hypothesis on separability of the vertical and horizontal structure for the error covariance, the number of unknown elements in the error covariance is reduced drastically and are estimated from generated error samples. A low-cost filtering algorithm is thus determined and parameterized up to some pertinent gain coefficients to be tuned to optimize the filter performance. Results from the experiment on assimilation of the sea surface height (SSH) into an oceanic numerical model demonstrate the high effectiveness of the proposed filtering approach.

关键词： Filtering problems Adaptation Error estimation distributed-parameter systems Environmental engineering

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Polytopic Control of the Magnetic Flux Profile in a Tokamak Plasma

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IFAC Proceedings Volumes 2011年第1期44卷 6686-6691页

作者： Federico Bribiesca Argomedo Christophe Prieur Emmanuel Witrant Sylvain Brémond Control Systems Department GIPSA-lab Université de Grenoble/CNRS/Université Joseph Fourier Grenoble France Association EURATOM-CEA CEA/IRFM Saint Paul Lez Durance France

Abstract In this paper, the problem of steady-state regulation of the magnetic flux profile in a tokamak plasma using the lower hybrid current drive as actuator is considered. Based on a simplified control-oriented model of the magnetic flux dynamics in a tokamak plasma a polytopic control law was developed. Shape constraints on the actuator are considered and conditions to derive a polytopic linear parameter-varying controller that guarantees stability of the closed-loop system are given. Validation and implementation issues are discussed and numerical simulations are presented.

关键词： Linear parameter-varying model time-varying systems distributed-parameter systems nuclear power

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SOLVING OPTIMAL FEEDBACK CONTROL OF CHINESE POPULATION DYNAMICS BY VISCOSITY SOLUTION APPROACH

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IFAC Proceedings Volumes 2005年第1期38卷 489-494页

作者： Bing Sun Bao-Zhu Guo Institute of Systems Science Academy of Mathematics and System Sciences Academia Sinica Beijing 100080 China

In this paper, the optimal birth feedback control of a McKendrick type age-structured population dynamic system based on the Chinese population dynamics is considered. Adopt the dynamic programming approach, to obtain the Hamilton-Jacobi-Bellman equation and prove that the value function is its viscosity solution. By the derived classical verification theorem, the optimal birth feedback control is found explicitly. A finite dierence scheme is designed to solving numerically the optimal birth feedback control. Under the same constraint, by comparing with dierent controls, the validity of the optimality of the obtained control is verified numerically.

关键词： Numerical solutions Finite dierence Optimal control Feedback control Dynamic programming distributed-parameter systems Optimality

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Generic Optimal Temperature Profiles for a Class of Jacketed Tubular Reactors

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IFAC Proceedings Volumes 2008年第2期41卷 12923-12928页

作者： Filip Logist Peter M. Van Erdeghem Ilse Y. Smets Jan F. Van Impe BioTeC Department of Chemical Engineering Katholieke Universiteit Leuven W. de Croylaan 46 B-3001 Leuven Belgium. (Tel: +32-16-32.26.75

This paper deals with the optimal and safe operation of jacketed tubular reactors. Despite the existence of advanced distributed controllers, optimal steady-state reference profiles to be tracked are often unknown. In Logist et al. [2008], a procedure which combines analytical and numerical optimal control techniques, has been proposed for deriving optimal analytical (and thus generic) references, and it has been illustrated for plug flow reactors. The aim of this paper is to illustrate the general applicability of this procedure by allowing dispersion. As dispersion significantly complicates a possible solution process (due to second-order derivatives and split boundary conditions), hardly any generic results are known. Nevertheless, the dispersive plug flow reactor model is important for practice, since varying the dispersion level allows to mimic an entire reactor range, i.e., from plug flow to perfectly mixed reactors. As an example a jacketed tubular reactor in which an exothermic irreversible first-order reaction takes place is adopted. It is shown that the procedure yields generic reference solutions for ( i ) three different cost criteria, and ( ii ) different dispersion levels.

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

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Trade-off design for fault detection of DPSs using integral transformations

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IFAC-PapersOnLine 2022年第26期55卷 33-38页

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

The fault detection problem for parabolic or biharmonic PDEs is solved. Additive and multiplicative actuator, sensor and process faults without knowing the signal form can be taken into account. In addition, disturbances with a finite signal energy on a moving horizon can be present and are considered by a threshold. Integral transformations are used to derive a residual generator and the threshold. The corresponding integral kernels are determined by a flatness-based realization of a nontrivial setpoint change for a DPS. Moreover, a trade-off design based on L 2 norms is systematically achieved for the fault detection. The efficiency of this design approach is demonstrated with simulations of a faulty cantilever beam.

关键词： distributed-parameter systems fault detection integral transformation flatness motion planning trade-off design

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Internal Nonlinear Predictive Control of Semilinear Parabolic Equations

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IFAC Proceedings Volumes 2011年第1期44卷 5525-5530页

作者： Lianjun Bai Daniel Coca Department of Automatic Control & Systems Engineering The University of Sheffield Sheffield S1 3JD UK

Abstract This paper introduces a method for synthesizing reduced-order nonlinear model-based predictive controllers that have support in an arbitrary open subset, for semilinear parabolic equations. The predictive control law is computed based on reduced-order, nonlinear multi-step-ahead finite-element predictors, identified directly from experimental input-output data. An advantage of this approach is that it does not require knowledge of the partial differential equation (PDE) model of the process. The proposed approach is computationally efficient and suitable for real-time implementation as it does not involve solving a complex nonlinear programming problem. The design method can deal effectively with load disturbances and noise in a similar manner to that adopted in the classical Generalized Predictive Control framework. The method is used to design and evaluate numerically a nonlinear predictive controller for a one-dimensional nonlinear parabolic equation.

关键词： Generalized Predictive Control distributed-parameter systems Finite Element Method Nonlinear System Identification

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Controllability and prediction-free control of coupled transport processes viewed as linear systems with distributed delays

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IFAC Proceedings Volumes 2013年第26期46卷 13-18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

The solution of transport equations results in functional differential equations with time-delays. This papers deals with the control of linear systems with lumped and distributed delays that represent a coupled system of transport processes and ordinary differential equations. These time-delay systems can be viewed as modules over a ring of entire functions. It is shown that spectral controllability and freeness of the module over an associated ring are necessary and sufficient for the module to be free. Using a module basis, a flatness-based tracking controller is derived that is infinite-dimensional, in general, due to the distributed delays. However, no (explicit) predictions are required to assign a finite spectrum to the delay system. Two examples illustrate the results, one of which being a neutral type system.

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

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Trajectory Planning For a Deep Drawing Tool

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IFAC Proceedings Volumes 2014年第3期47卷 665-670页

作者： Timo Böhm Thomas Meurer Group Tool Shops Volkswagen AG 38436 Wolfsburg Germany Chair of Automatic Control Christian-Albrechts-University Kiel 24143 Kiel Germany

Model-based trajectory planning is addressed for the realization of desired temperature trajectories for a deep drawing tool. Based on the distributed-parameter system description of the tool a finite element approximation is deduced which serves as basis for a systematic flatness-based design of a feedforward control. Trajectory assignment is considered by taking into account the minimization of a process-related objective function. Simulation and experimental data obtained from a fully equipped forming tool are presented for pure feedforward control and a two-degree-of-freedom control concept amending the feedforward part by an output error feedback controller. These confirm the applicability of the design technique and the tracking performance.

关键词： deep drawing distributed-parameter systems trajectory planning flatness temperature control experiments

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A distributed Model for the Dynamics of Consumers' Aggregate Demand

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IFAC Proceedings Volumes 1999年第2期32卷 6268-6273页

作者： Lihui Zheng Shan Feng Bin Yang Department of Automatic Control Engineering Huazhong University of Science and Technology Wuhan Hubei 430074 P. R. China

This paper is concerned with the modeling problems of dynamic consumption systems. In particular, the distribution effects of wealth across consumers on the aggregate demand are considered by using the modeling theory of distributed-parameter systems. The resulting model is a Partial Differential Equation that describes evolution of the distribution density of consumers with respect to their wealth. A simple solution to the model is also derived under assumptions properly made according to practical background, which can be used in economic analysis readily. Finally the modeling method is illustrated by an application to the forecasting of household cars in China.

关键词： economic systems dynamic modeling distributed-parameter systems forecasts economics

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Modeling uncertainty of elastic vibrating systems with unknown high order eigenstructures

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IFAC Proceedings Volumes 1999年第2期32卷 4365-4370页

作者： Jun Imai Department of Electrical and Electronic Systems Engineering Kyushu University JAPAN

A new frequency domain technique is presented for modeling uncertainty of elastic vibrating systems whose eigenvalues and eigenvectors concerning higher order vibrating modes are unknown. First, a feasible set of systems is defined to be the set of all systems governed by a differential equation with certain noun bounds of unknown input and output operators and partially known eigenvalues and corresponding parameters. Then an unstructured uncertainty class is characterized in frequency domain so that it includes the feasible set and that the magnitude of additive perturbation bound be minimized. Significance of the characterization is illustrated by numerical study of finite dimensional controller desisn for an ideal flexible beam.

关键词： Uncertainty Modeling Eigenvalues Eigenvectors distributed-parameter systems Error analysis Frequency domains H-infinity control

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