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Quadratic stability of process systems in generalized lotka-volterra form

IFAC Proceedings Volumes 2004年第13期37卷 1217-1222页

作者： A. Magyar G. Szederkényi K.M. Hangos Process Control Research Group Systems and Control Laboratory Computer and Automation Research Institute HAS H-1518 P.O. Box 63 Budapest Hungary Tel.: +361 2796000； fax: +361 466 7503 Department of Computer Science University of Veszprém H-8200 Egyetem u. 10 Veszprém Hungary Tel.: +***； fax: +***

The global and local stability of process systems in generalized Lotka-Volterra form is studied in this paper using entropy-like and quadratic Lyapunov function candidates. The global stability check for LV models is performed by solving an LMI for a diagonal positive semi-definite matrix using singular perturbation technique. It is shown that a quadratic Lyapunov function can also be determined by solving linear matrix inequalities (LMIs). In addition, the quadratic stability neighborhood is convex in the space of the quasi-monomials and can be estimated by computing its corner points using LMIs. Furthermore, it is proved that quadratic stability with a diagonal weighting matrix enables to construct a dissipative-Hamiltonian description of the system. The developed methods are illustrated on the model of a continuously stirred tank reactor with a nonlinear reaction system.

关键词： quasi-polynomial systems Lotka-Volterra systems stability analysis linear matrix inequalities Hamiltonian systems

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A geometric view on inversion-based detection filter design in nonlinear systems 5

A geometric view on inversion-based detection filter design ...

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5th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Safeprocess 2003

作者： Edelmayer, A. Bokor, J. Szabó, Z. Systems and Control Laboratory Computer and Automation Research Institute Hungarian Academy of Sciences Kende u. 13-17 BudapestH-1111 Hungary

In this paper the idea of input reconstruction by means of system inversion is discussed. In view of the latest results of geometrical system theory the properties of the inverse is characterized. It is shown how the dynamic inversion approach can be used to construct residual generators to fault detection and isolation. Linear and nonlinear systems with vector relative degree are considered. © 2003 International Federation of Automatic control.

关键词： Nonlinear systems

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Zero dynamics of continuous and FED-batch bioreactors

Zero dynamics of continuous and FED-batch bioreactors

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2003 European control Conference, ECC 2003

作者： Szederkényi, G. Schné, T. Hangos, K.M. Systems and Control Laboratory Computer and Automation Research Institute Hungarian Academy of Sciences P.O. Box 63 BudapestH-1518 Hungary Department of Computer Science University of Veszprém Egyetem u. 10 VeszprémH-8200 Hungary

ISBN: (纸本)9783952417379

The zero dynamics of simple continuous and fed-batch biore-actors is investigated in this paper for different input and output selections. A function λ generating the necessary coordinates transformation has been determined analytically for each case solving a simple PDE, and the resulting coordinates transformations have found to be invertible on the physically meaningful operating region. It is shown that that the investigated continuous and fed-batch bioreactors are globally minimum phase systems with the examined reaction rate function if the manipulable input is the inlet feed flow rate and the output is the substrate concentration. It is also shown that the zero dynamics may have multiple (locally stable and unstable) equilibria if the input is the inlet feed flow rate and the output is the biomass concentration. © 2003 EUCA.

关键词： Process control

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A Geometric View on Inversion-Based Detection Filter Design in Nonlinear systems *

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IFAC Proceedings Volumes 2003年第5期36卷 723-728页

作者： A. Edelmayer J. Bokor Z. Szabó Systems and Control Laboratory Computer and Automation Research Institute Hungarian Academy of Sciences Budapest Kende u. 13-17 H-1111 Hungary

关键词： Fault detection and isolation Input observability Input reconstruction Inverse system Nonlinear systems Vector relative degree

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Human systems integration and advanced technology in engineering department workload and manpower reduction

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NAVAL ENGINEERS JOURNAL 2003年第1期115卷 57-65页

作者： Lively, KA Seman, AJ Kirkpatrick, M KENNETH A. LIVELY graduated from the University of Colorado with a BS in applied mathematics and an MS in mathematics in 1976 and from the Massachusetts Institute of Technology with an MS in electrical engineering and the degree ocean engineer in naval architecture and marine engineering in 1984. He retired from the U.S. Navy in 1989 after 23 years of service. Assignments included electrical officer on the USS Constellation (CV 64) project engineer for the DDG 51 machinery control system (NAVSEA) and DDG 51 Technical Director (NAVSEA). He was vice president of the PDI Division of Bird-Johnson Company from July 1989 to November 1998 where he managed various gas turbine and machinery controls related development projects. He joined Anteon Corporation's Systems Engineering Group as senior controls engineer in December 1998 where he provided technical support to the integrated power systems program (NAVSEA PMS 510) and managed the Office of Naval Research Afloat Laboratory. DR. MARK KIRKPATRICK is currently an independent consultant in human factors and work-load/manning analysis and modeling. He holds a Ph.D. degree in experimental psychology from The Ohio State University and has 34 years of experience in applied human factors. From 1982 through 2000 Dr. Kirkpatrick served as the senior vice president of Carlow International. Prior to joining Carlow in 1982 Dr. Kirkpatrick served as a member of the technical staff at North American Rockwell's Missiles Division and as a project director and vice president for Essex Corporation. His areas of expertise include workload simulation task analysis operator-in-the-loop simulation human performance experimentation statistical analysis and human factors T&E. He has directed and/or participated in human factors projects for the U.S. Navy U.S. Army NASA Department of Transportation the U.S. Nuclear Regulatory Commission and private industry. ANTHONY J. SEMAN III is the technical manager for the reduced ship's crew by virtual presence (RSVP) advanced technology d

Aboard current ships, such as the DDG 51, engineering control and damage control activities are manpower intensive. It is anticipated that, for future combatants, the workload demand arising from operation of systems under conditions of normal steaming and during casualty response will need to be markedly reduced via automated monitoring, autonomous control, and other technology initiatives. Current DDG 51 class ships can be considered as a manpower baseline and under Condition III typical engineering control involves seven to eight watchstanders at manned stations in the Central control Station, the engine rooms and other machinery spaces. In contrast to this manning level, initiatives such as DD 21 and the integrated engineering plant (IEP) envision a partnership between the operator and the automation system, with more and more of the operator's functions being shifted to the automation system as manning levels decrease. This paper describes some human systems integration studies of workload demand reduction and, consequently, manning reduction that can be achieved due to application of several advanced technology concepts. Advanced system concept studies in relation to workload demand are described and reviewed including. Piecemeal applications of diverse automation and remote control technology concepts to selected high driver tasks in current DDG 51 activities. Development of the reduced ship's crew by virtual presence system that will provide automated monitoring and display to operators of machinery health, compartment conditions, and personnel health. The IEP envisions the machinery control system as a provider of resources that are used by various consumers around the ship. Resource needs and consumer priorities are at all times dependent upon the ship's current mission and the availability of equipment pawnbrokers.

关键词： Naval warfare

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Linear output selection for feedback linearization 15th

Linear output selection for feedback linearization

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15th World Congress of the International Federation of Automatic control, 2002

作者： Szederkényi, G. Hangos, K.M. Bokor, J. Vámos, T. Systems and Control Laboratory Computer and Automation Research Institute P.O. Box 63 BudapestH-1518 Hungary Al Research Group Computer and Automation Research Institute Hungary

ISBN: (纸本)9783902661746

The problem of selecting a linear scalar output y = Kx for a single-input nonlinear dynamic system given in input-affine form (x = f(x) + g(x)u) is considered in this paper. In the general case, when the zero dynamics is hard to investigate analytically, K is suggested to be the resulting feedback gain of an LQ linear optimal control problem for the linearized model. The advantageous properties of the LQ design (gain and phase margins, etc.) known for linear systems enable to obtain an at least locally asymptotically stable, yet simple nonlinear controller if the linear output y = Kx is used for feedback linearization. With this output selection, the relative degree of the open loop system can be easily set to 1 at the desired operating point and it possesses locally (or globally) asymptotically stable zero dynamics. It is shown on examples that the resulting closed loop nonlinear system can be stable in a wide neighborhood of the operating point. The concepts are illustrated on two characteristic nonlinear systems of two different application domain: an inverted pendulum and a continuous fermenter. Copyright © 2002 IFAC.

关键词： Feedback linearization

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A climate change action plan for Hungary

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International Journal of Sustainable Development 2002年第1-2期5卷 183-194页

作者： Molnár, Sándor Takács, Tibor Systems and Control Laboratory Computer and Automation Research Institute Hungarian Academy of Sciences Budapest Hungary Systemexpert Consulting Ltd. Matyashegyi u7/b H-1037 Budapest Hungary

The paper summarizes the Hungarian Climate Change Action Plan developed within the framework of the US Country Studies Programme. The two main areas of the Hungarian climate change policy will be the energy and the forestry sectors. The outdated power plants will be retired or retrofitted, and new capacities to be installed will correspond to Western standards in terms of emissions and efficiency. Several ongoing governmental programmes are aimed at the reduction of specific energy consumption. The potential for saving energy and the corresponding reduction in the emission of carbon dioxide are assessed. In the forestry sector four different scenarios are examined, and again the potential for the removal of carbon dioxide is assessed. Copyright © 2002 Inderscience Enterprises Ltd.

关键词： Climate change

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Nonlinear analysis and control of a continuous fermentation process

Nonlinear analysis and control of a continuous fermentation ...

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作者： Szederkényi, G. Kristensen, N.R. Hangos, K.M. Bay Jørgensen, S. Systems and Control Research Laboratory Computer and Automation Institute HAS P.O. Box 63 H-1518 Budapest Hungary Department of Chemical Engineering Technical University of Denmark DK-2800 Lyngby Denmark

Different types of nonlinear controllers are designed and compared for a simple continuous bioreactor operating near optimal productivity. This operating point is located close to a fold bifurcation point. Nonlinear analysis of stability, controllability and zero dynamics is used to investigate open-loop system properties, to explore the possible control difficulties and to select the system output to be used in the control structure. A wide range of controllers are tested including pole placement and LQ controllers, feedback and input-output linearization controllers and a nonlinear controller based on direct passivation. The comparison is based on time-domain performance and on investigating the stability region, robustness and tuning possibilities of the controllers. controllers using partial state feedback of the substrate concentration and not directly depending on the reaction rate are recommended for the simple fermenter. Passivity based controllers have been found to be globally stable, not very sensitive to the uncertainties in the reaction rate and controller parameter but they require full nonlinear state feedback. © 2002 Published by Elsevier Science Ltd.

关键词： Fermentation

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LPV-modeling of a low-power gas turbine

LPV-modeling of a low-power gas turbine

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8th Mini Conference on Vehicle System Dynamics, Identification and Anomalies, VSDIA 2002

作者： Ailer, Piroska Szederkényi, Gábor Hangos, Katalin M. Aviation Technical Institute Miklós Zrínyi National Defence University POB. 1 H-5008 Szolnok Hungary Systems and Control Laboratory Computer and Automation Research Institute HAS POB. 63 H-1518 Budapest Hungary

The nonlinear dynamic model of gas turbines is derived from first engineering principles, which consists of differential conservation balances completed by algebraic constitutive relations. This nonlinear dynamic model can then be transformed into input-affine form. The coordinate-functions of the state equation f(x) have very complicated algebraic structures, while the functions gi,(x) are constants. Because of this fact, the nonlinear dynamic analysis of the model, such as investigation of controllability and stability, can only be performed with difficulty or in some cases it can not be done. To solve this problem and to investigate the controllability and stability of the model in a more effective way the nonlinear dynamic model has to be transformed into LPV (Linear Parameter-Varying) model. This LPV-model can then be effectively used to develop some types of controllers to improve the dynamic response of the engine. In this paper we show the possible ways and steps of the transformation being neither obvious nor unique and the final form of the LPV-model of a pilot-plant gas turbine, which is installed in the Budapest University of Technology and Economics. Department of Aircraft and Ships on a test stand.

关键词： Gas turbines

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Input reconstruction by means of system inversion: Application to fault detection and isolation 15th

Input reconstruction by means of system inversion: Applicati...

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15th World Congress of the International Federation of Automatic control, 2002

作者： Szigeti, F. Bokor, J. Edelmayer, A. Systems and Control Laboratory Computer and Automation Research Institute Hungarian Academy of Sciences Kende u. 13-17 BudapestH-1111 Hungary Department of Control Engineering Faculty of Engineering University of Los Andes Mérida A.P. 11 La Hechicera Venezuela

ISBN: (纸本)9783902661746

This paper attempts to look at the fundamental problem of fault detection and isolation (FDI) in nonlinear systems. Using the idea of input reconstruction by means of dynamic inversion the authors first discuss the properties of input (or fault) observability in linear systems. The extension of the results to nonlinear systems as well as the mathematical conditions of the calculation of the inverse system, which provides the inverse in finite algorithmic steps, are given. The applicability of the inversion process to fault reconstruction in nonlinear systems is demonstrated. Copyright © 2002 IFAC.

关键词： Fault detection

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