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IDENTIFICATION OF STOCHASTIC LINEAR-systemS IN PRESENCE OF INPUT NOISE

automaticA 1981年第5期17卷 713-725页

作者： SODERSTROM, T Department of Automatic Control and System Analysis Institute of Technology Uppsala University S-751 21 Uppsala P.O. Box 534 Sweden

Most identification methods rely on the assumption that the input is known exactly. However, when collecting data under an identification experiment it may not be possible to avoid noise when measuring the input signal. In the paper some different ways to identify systems from noisy data are discussed. Sufficient conditions for identifiability are given. Also accuracy properties and the computational requirements are discussed. A promising approach is to treat the measured input and output signals as outputs of a multivariable stochastic system. If a prediction error method is applied using this approach the system will be identifiable under mild conditions.

关键词： correlation methods Identification Kalman filters linear systems parameter estimation prediction error methods state space methods stochastic systems

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Identification and optimal control of fructo-oligosaccharide production

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IFAC-PapersOnLine 2018年第18期51卷 678-683页

作者： Schorsch, J. Kinnaert, M. Fekih-Salem, R. Dewasme, L. Castro, C.C. Wouwer, A. Vande Department of Control Engineering and System Analysis Université libre de Bruxelles Belgium Automatic Control Laboratory University of Mons Belgium LAMSIN University of Tunis El Manar Tunisia Applied Chemistry and Biochemistry Department University of Mons Belgium

This article deals with the development of a reduced model describing the temporal evolution of the fructo-oligosaccharide production by Aureobasidium pullulans and the optimal process control. First, a reduced model is derived from a detailed model reproducing with good accuracy the dynamics of the fructo-oligosaccharide production. The reduced model is obtained using maximum likelihood principal component analysis and parameter identification based on a weighted least squares criterion. Next, the fructo-oligosaccharide concentration at an a priori undetermined time is maximized using Pontryagin maximum principle. The methodology is analyzed based on experimental data from batch and fed-batch cultures, and results are compared with those obtained with another simple model available in the literature. © 2018

关键词： Maximum likelihood estimation Bang bang control systems Batch cell culture Biotechnology Maximum principle Oligosaccharides Parameter estimation Principal component analysis Aureobasidium pullulans Bang Bang control Detailed modeling Fed batch cultures Fructo oligosaccharides Optimal controls Temporal evolution Weighted least squares

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Constrained extremum seeking: A modified-barrier function approach 11

Constrained extremum seeking: A modified-barrier function ap...

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11th IFAC Symposium on Nonlinear control systems, NOLCOS 2019

作者： Labar, Christophe Garone, Emanuele Kinnaert, Michel Ebenbauer, Christian Department of Control Engineering and System Analysis Université libre de Bruxelles Brussels1050 Belgium Institute for Systems Theory and Automatic Control University of Stuttgart Stuttgart70569 Germany

In this paper, we address the problem of steering the input of a convex function to a value that minimizes the function under a convex constraint. We consider the case where the constraint cannot be violated of more than a user-defined value during the whole transient phase. The mathematical expression of both the cost function and the constraint are assumed to be unknown. The only information available are the on-line values of the cost and the constraint. To tackle this problem, an optimization law, based on a modified-barrier function, and involving the gradient of both the cost function and the constraint, is firstly designed. The Lie bracket formalism is then exploited to approximate this law, by combining time-periodic signals with the on-line measurements of both the cost and the constraint. The stability property of the resulting constrained extremum seeking system is proved, and its effectiveness is shown in simulation. © 2019, IFAC (International Federation of automatic control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Cost functions

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Optimal control of fructo-oligosaccharide production 10

Optimal control of fructo-oligosaccharide production

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10th International Conference on Simulation and Modelling in the Food and Bio-Industry, FOODSIM 2018

作者： Schorsch, J. Kinnaert, M. Fekih-Salem, R. Dewasme, L. Castro, C.C. Vande Wouwer, A. Department of Control Engineering and System Analysis Université libre de Bruxelles Belgium LAMSIN University of Tunis El Manar Tunisia Automatic Control Laboratory University of Mons Belgium Applied Chemistry and Biochemistry Department University of Mons Belgium

ISBN: (纸本)9789492859013

The objective of this study is to determine an optimal substrate feed rate for optimizing the fructo-oligosaccharide production by Aureobasidium pullulans in a fed batch reactor. The feed profile is charecterized by the feed start time, rate and end time. The optimization is carried out based on a simple dynamic model of the process and using Pontryagin maximum principle in the framework of singular control problems. The resulting control law is of the bang-bang type. The bioreactor is first filled-up at maximum feed rate, followed by a batch phase. © 2018 EUROSIS-ETI.

关键词： Substrates

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Impact analysis of the multi-harmonic input splicing way based on the data-driven model

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International Journal of Dynamics and control 2020年第4期8卷 1181-1188页

作者： Qiu, Yue Luo, Zhong Ge, Xiaobiao Zhu, Yunpeng Gao, Yi School of Mechanical Engineering and Automation Northeastern University Shenyang110819 China Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education Northeastern University Shenyang110819 China State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology Dalian116024 China Department of Automatic Control and System Engineering University of Sheffield SheffieldS13JD United Kingdom

In response to the identification problem of nonlinear systems with harmonic input, this paper studies the identification effect of the different splicing way of the multi-harmonic input based model identification approach. In this method, the relationship between the input and output signals of the nonlinear system is represented by the Nonlinear Auto-Regressive model with exogenous inputs (NARX) model. Firstly, the modeling framework of the NARX model based on the multi-harmonic input method is introduced. Then the effect of the different splicing way contained sequence and period of splicing data on modeling results is researched and proved in theoretically. Finally, a case study is discussed to simultaneously validate that the different multi-harmonic signal splicing forms have no effect on the identification results. © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

关键词： Nonlinear systems

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Identification and quantification of hazards caused by uncontained engine rotor failure 9

Identification and quantification of hazards caused by uncon...

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2014 9th International Symposium on Safety Science and Technology, ISSST 2014

作者： Li, Mailiang Sun, Zhiqiang Gong, Erling System Analysis Institute Air Force Armament Research Academy Beijing100076 China Department of Automatic Control College of Mechatronic Engineering and Automation National University of Defense Technology Changsha410073 China

ISBN: (纸本)9781634396882

One approach based on AC20-128A is presented in order to assess the risk caused by uncontained engine rotor failure (UERF). In this approach, the risk assessment procedure includes hazard identification and hazard quantification. In the step of hazard identification, the catastrophic functional hazards, derived from the functional hazard analysis (FHA) results for the airplane, are used as the top events to construct the fault trees. The minimal cut sets (MSCs) of the fault trees are the hazards to be identified exactly. In the step of hazard quantification, the probability of one hazard triggered by some uncontained debris is evaluated. After the probabilities of all the identified hazards are quantified, the risk assessment of the airplane is completed. And the assessment result is compared with the design specifications to show compliance with the safety design. A small example is introduced to illustrate the rationality and accuracy of the aforementioned method. © 2014 The Authors. Published by Elsevier Ltd.

关键词： Risk assessment

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Optimal input matching in sampled data control systems

Optimal input matching in sampled data control systems

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IEEE Conference on Decision and control

作者： K. Nordstrom Automatic Control and System Analysis Group Uppsala University Department of Technology Uppsala Sweden

An optimal hybrid input matching (OHIM) controller is proposed to control linear time-invariant systems. The method is based on redesign of a desired pure continuous-time closed-loop system, and the controller is optimal in the sense that the L/sub 2/(0, infinity )-norm of the discrepancy between the obtained sampled data and continuous-time output signals is minimized. The derivation of the controller consists of the following two elementary steps; (i) sampling and spectral factorization of a rational function that only depends on the open-loop system and (ii) solving a linear matrix equation, which depends on the external signals. The method is applicable to any continuous-time linear control system and to arbitrary deterministic external signals.< >

关键词： Impedance matching Optimal control control systems Open loop systems Sampling methods Equations

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Constrained Extremum Seeking: a Modified-Barrier Function Approach ⁎

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IFAC-PapersOnLine 2019年第16期52卷 694-699页

作者： Christophe Labar Emanuele Garone Michel Kinnaert Christian Ebenbauer Department of Control Engineering and System Analysis Université libre de Bruxelles 1050 Brussels Belgium Institute for Systems Theory and Automatic Control University of Stuttgart 70569 Stuttgart Germany

关键词： Constrained Optimization Extremum Seeking Singular Perturbations Data-based control Modified Barrier-Function

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Fault detection of non-linear systems based on multi-form quasi-armax modeling and its application to the ship benchmark 13

Fault detection of non-linear systems based on multi-form qu...

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13th IFAC Symposium on system Identification, SYSID 2003

作者： Kumamaru, K. Inoue, K. Hosoyamada, Y. Söerström, T. Faculty of Computer Science and Systems Engineering Kyushu Institute of Technology Kawazu 680-4 Fukuoka Iizuka820-8502 Japan Department of Automatic Control and System Analysis Institute of Technology Uppsala University P.O.Box 27 Uppsala Sweden

This paper is concerned with an application study of model-based fault detection method to a ship propulsion system. When modeling the object system, Quasi-ARMAX model with multi-model form is used. In this model, the system non-linearity is incorporated into model parameters by using non-linear non-parametric models (NNMs). Kullback discrimination Information (KDI) is introduced as fault detection index to evaluate the distortion in identified model, which is caused by a fault. The effectiveness of the method is verified through simulation studies on the ship propulsion system. © 2003 International Federation of automatic control.

关键词： Fault detection

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Extremum seeking algorithms based on non-commutative maps 11

Extremum seeking algorithms based on non-commutative maps

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11th IFAC Symposium on Nonlinear control systems, NOLCOS 2019

作者： Feiling, Jan Labar, Christophe Grushkovskaya, Victoria Garone, Emanuele Kinnaert, Michel Ebenbauer, Christian Institute for Systems Theory and Automatic Control University of Stuttgart Germany Dr. Ing. h.c. F. Porsche AG Stuttgart Germany Department of Control Engineering and System Analysis Université libre de Bruxelles Belgium Institute for Mathematics Julius-Maximilians-University Würzburg Germany

In this work, discrete-time extremum seeking algorithms for unconstrained optimization problems are developed. A general class of non-commutative maps and one- and two point function evaluation polices are presented to approximate a gradient-descent algorithm, suitable for extremum seeking problems. Moreover, adaptive step size rules are discussed to achieve faster convergence and vanishing steady state oscillations. © 2019, IFAC (International Federation of automatic control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Optimization

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