Analysis-based control of nonlinear dynamical systems  Page description

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Details of project

  
Identifier
46223
Type F
Principal investigator Szederkényi, Gábor
Title in Hungarian Nemlineáris dinamikus rendszerek analízis alapú irányítása
Title in English Analysis-based control of nonlinear dynamical systems
Panel Informatics and Electrical Engineering
Department or equivalent HUN-REN Institute for Computer Science and Control
Participants Ailer, Piroska Gyöngyi
Hémeth, Huba László
Magyar, Attila
Pongrácz, Barna
Starting date 2004-01-01
Closing date 2007-12-31
Funding (in million HUF) 4.208
FTE (full time equivalent) 0.00
state closed project





 

Final report

  
Results in Hungarian
Rövid összefoglaló Nemlineáris dinamikus rendszerek analízisének és irányításának területén folytattunk kutatásokat. Az analízis eredményeit különböző irányítási célokat megvalósító szabályozási struktúrák tervezéséhez használtuk fel. 1. Nemlineáris dinamikus rendszerek analízise és identifikációja Gráfelméletti megközelítésen alapuló módszert adtunk arra, hogy differenciál-algebrai rendszermodellek egyszerűsítése során hogyan kaphatunk 1-es indexű modellt eredményül. Kapcsolatot találtunk kvázipolinomiális (QP) rendszerek globális stabilitása és lokális disszipatív hamiltoni leírása között. Polinomiális idejű algoritmust adtunk QP rendszerek invariánsainak a modellegyenletekből történő visszanyerésére. Megmutattuk, hogy a lineárisan független reakcióvektorokkal rendelkező reverzibilis reakcióhálózatok egyensúlyi pont körüli lokális disszipatív hamiltoni struktúrával rendelkeznek. Nyomottvizes reaktorok primerköri dinamikáját identifikáltuk a modell részrendszerekre történő szétválasztása alapján. 2. Nemlineáris dinamikus rendszerek irányítása Bilineáris mátrixegyenlőtlenség megoldására vezető stabilizáló visszacsatolást terveztünk QP rendszerekre. A terhelőnyomaték on-line becslését is tartalmazó adaptív referenciakövető szabályozót terveztünk kisteljesítményű gázturbuna modelljére. Az identifikált atomerőművi primerköri modellre az előírt korlátozásokat betartó modell-prediktív szabályozókat terveztünk. Kétszintű szabályozót terveztünk gépjárművek aktív felfüggesztéséhez.
Results in English
Short summary An interdisciplinary research has been conducted in the field of analysis and control of nonlinear dynamical systems. The results of the analysis have been used to design feedback structures for different control goals. 1. Analysis and identification of nonlinear dynamical systems A method based on graph theory has been proposed for the construction of index-1 models during model simplification. Connections have been found between the global stability and local dissipative-Hamiltonian description of quasi-polynomial (QP) systems. A polynomial time algorithm has been worked out for obtaining invariants of QP systems from the model equations. It has been shown that reversible reaction networks with independent reaction vectors possess a local dissipative Hamiltonian structure around the equilibrium point. The identification of the primary circuit dynamics of pressurized water reactors have been carried out based on the decomposition of the overall model. 2. Control of nonlinear dynamical systems Stabilizing feedback has been computed for QP systems that leads to the solution of a bilinear matrix inequality. An adaptive reference tracking controller has been designed for a low power gas turbine that contains the on-line estimation of the load torque. Model-predictive controllers have been designed for the identified primary circuit dynamics that satisfy the predefined constraints. A two-level controller has been designed for the active suspension of road vehicles.
Full text http://real.mtak.hu/1342/
Decision
Yes





 

List of publications

  
Péni T; Szederkényi G; Bokor J; Hangos KM: Dynamic inversion based velocity tracking control of road vehicles, 6th IFAC Symposium on Nonlinear Control Systems – NOLCOS 2004, Stuttgart, Germany. on CD, 2004
Szederkényi G; Hangos KM: Global stability and quadratic Hamiltonian structure in Lotka-Volterra and quasi-polynomial systems, Physics Letters A. 324: 437-445, 2004
Hangos KM; Szederkényi G; Tuza Zs: The effect of model simplification assumptions on the differential index of lumped process models, Comp. Chem. Eng. 28: 129-137, 2004
Hangos KM; Bokor J; Szederkényi G: Analysis and Control of Nonlinear Process Systems, Springer-Verlag, London, 308 oldal, 2004
Otero-Muras I; Szederkényi G; Alonso AA; Hangos KM: Dynamic analysis and control of chemical and biochemical reaction networks, International Symposium on Advanced Control of Chemical Processes - ADCHEM 2006, Gramado, Brazil, April 2-5, pp. 165-170., 2006
Pongrácz B; Ailer P; Szederkényi G; Hangos KM: Stability of zero dynamics of a low power gas turbine, In: 12th Mediterranean Conference on Control and Automation MED’04, Kusadasi, Turkey. on CD, 2004
Magyar A; Szederkényi G; Hangos KM: Quadratic stability of process systems in generalized Lotka-Volterra form, 6th IFAC Symposium on Nonlinear Control Systems – NOLCOS 2004, Stuttgart, Germany. on CD, 2004
Szederkényi G: Time reparametrization and global stability of quasi-polynomial (QP) systems, 5th International PhD Workshop on Systems and Control, Balatonfüred, Hungary. on CD, 2004
Ailer P; Pongrácz B; G. Szederkényi: Constrained control of a low power industrial gas turbine based on input-output linearization, International Conference on Control and Automation – ICCA 2005, Budapest, Hungary, June 27-29, 2005, pp. 368-373, 2005
Magyar A; Szederkényi G; Hangos KM: Quasi-polynomial system representation for the analysis and control of nonlinear systems, 16th IFAC World Congress, Prague, Czech Republic, Tu-A22-TO/5, 2005
Otero-Muras I; Szederkényi G; Alonso AA; Hangos KM: Dynamic analysis and control of biochemical reaction networks, 5th Vienna International Conference on Mathematical Modelling - MATHMOD 2006, Vienna, Austria, February 8-10, pp. 4.1-4.10., 2006
Péni T; Varga I; Szederkényi G; Bokor J: Robust model predictive control of a nuclear power pressurizer subsystem, IASTED International Conference, Modeling, Identification, and Control - MIC 2006, Lanzarote, Spain, February 6-8, pp. 167-172., 2006
Fazekas Cs; Szederkényi G; Hangos KM: Linear and nonlinear control of musculoskeletal systems, 25th IASTED International Conference, Modeling, Identification, and Control - MIC 2006, Lanzarote, Spain, February 6-8, pp. 219-224., 2006
Varga I; Szederkényi G; Hangos KM; Bokor J: Modeling and model identification of a pressurizer at the Paks Nuclear Power Plant, 14th IFAC Symposium on System Identification - SYSID-2006, Newcastle, Australia, March 29-31, pp. 678-683., 2006
Fazekas Cs; Szederkényi G; Hangos KM: Model identification of the primary circuit at the Paks nuclear power plant, Proc. of the 26th IASTED International Conference Modelling, Identification and Control ISBN 978-0-88896-633-1 / 978-0-88986-635-5. February 12-14, Innsbruck, Austria, 2007
Magyar A; Szederkényi G; Hangos KM: Control of mass-action law based reaction networks, Proceedings of the 16th International Conference on Process Control, Strbske Pleso, Slovakia, on CD, 2007
Németh E; Fazekas Cs; Szederkényi G; Hangos KM: Modeling and simulation of the primary circuit of the Paks nuclear power plant for control and diagnosis, Proc. EUROSIM 2007 (B. Zupanic, R. Karba, S. Blazic) ISBN: 978-3-901608-32-2, September 9-13, Ljubljana, Slovenia, on CD, 2007
Fazekas Cs; Csercsik D; Szederkényi G; Hangos KM: Simulator for multi-scale musculoskeletal models with reflex circuits, Proc. EUROSIM 2007 (B. Zupanic, R. Karba, S. Blazic) ISBN: 978-3-901608-32-2, September 9-13, Ljubljana, Slovenia, on CD, 2007
Csercsik D; Szederkényi G; Hangos KM: Cascade stabilization and reference tracking of a simple nonlinear limb model, Proc. of the 26th IASTED International Conference Modelling, Identification and Control ISBN 978-0-88896-633-1 / 978-0-88986-635-5. February 12-14, Innsbruck, Austria, 2007
Gáspár P; Szederkényi G: Combined LPV and nonlinear control of an active suspension system, Proc. of the 2007 IEEE International Symposium on Industrial Electronics (ISIE2007)', Vigo, Spain, ISBN: 1-4244-0755-9, 215—220, 2007
Péni T; Szederkényi G; Bokor J: Model predictive control of the hybrid primary circuit dynamics in a pressurized water nuclear power plant, Proc. of the European Control Conference (ECC'2007), Kos, Greece, ISBN: 978-960-89028-5-5, 5361—5367, 2007
Csercsik D; Szederkényi G: Using graph-theoretic methods to find flat outputs, Proc. of the 8th International Phd Workshop: Young Generation Viewpoint. September 16-20, Balatonfüred, Hungary, 2007
Fazekas Cs; Szederkényi G; Hangos KM: A simple dynamic model of the primary circuit in VVER plants for controller design purposes and its parameter estimation, Proc. of the 8th International Phd Workshop: Young Generation Viewpoint. September 16-20, Balatonfüred, Hungary, 2007
Szederkényi G; Varga I: Design and implementation of the primary circuit pressure controller at the Paks Nuclear Power Plant, Proc. of the 8th International Phd Workshop: Young Generation Viewpoint. September 16-20, Balatonfüred, Hungary, 2007
Otero-Muras I; Szederkényi G; Alonso AA; Hangos KM: Dynamic analysis and control of biochemical reaction networks, Mathematics and Computers in Simulation, in press, 2008
Lombai F; Szederkényi G: Trajectory tracking control of a 6-degree-of-freedom robot arm using nonlinear optimization, The 10th International Workshop on Advanced Motion Control, Trento, Italy, accepted, 2008
Csercsik D; Szederkényi G: Cascade control methods of a simple nonlinear limb model, Proc. of the 7th International Phd Workshop: Young Generation Viewpoint, Hruba Skala, Czech Republic, ISBN: 80-903834-1-6, 2006
Hangos KM; Szederkényi G; Otero-Muras I: Process control based on physical insight: passivity and Hamiltonian system models, Proceedings of the Workshop on System Identification and Control Systems, Budapest, Hungary, 2006
Szederkényi G; Magyar A; Hangos KM: Quasi-polynomial and Lotka-Volterra representation in nonlinear systems and control theory, Proceedings of the Workshop on System Identification and Control Systems, Budapest, Hungary, 2006
Szederkényi G; Hangos KM; Magyar A: On the time-reparametrization of quasi-polynomial systems., Physics Letters A 334: 288-294, 2005
Péni T; Varga I; Szederkényi G; Bokor J: Robust model predictive control with state estimation for an industrial pressurizer system, Hungarian Journal of Industrial Chemistry, 33: 89-96, 2006
Pongrácz B; Szederkényi G; Hangos KM: An algorithm for determining a class of invariants in quasi-polynomial systems, Computer Physics Communications, 175: 204-211, 2006
Fazekas Cs; Szederkényi G; Hangos KM: A simple dynamic model of the primary circuit in VVER plants for controller design purposes, Nuclear Engineering and Design, 237: 1071-1087, 2007
Hangos KM; Szederkényi G: Process Control Based on Physically Inherent Passivity, In: J. Bao, P.L. Lee: Process Control: The Passive Systems Approach. pp. 193-224, Springer Verlag London ISBN 978-1-84628-892-0, 2007
Fazekas Cs; Szederkényi G; Hangos KM: Identification of the primary circuit dynamics in a pressurized water nuclear power plant, 17th IFAC World Congress, Seoul, Korea, accepted, 2008
Gáspár P; Szederkényi G; Szabó Z; Bokor J: The design of a two-level controller for suspension systems, 17th IFAC World Congress, Seoul, Korea, accepted, 2008
Magyar A; Szederkényi G; Hangos KM: Globally stabilizing feedback control of process systems in generalized Lotka-Volterra form, Journal of Process Control 18: 80-91, 2008
Otero-Muras I; Szederkényi G; Alonso AA; Hangos KM: Local dissipative Hamiltonian description of reversible reaction networks, Systems and Control Letters, in press, doi: 10.1016/j.sysconle.2007.12.003, 2008
Pongracz B; Ailer P; Hangos KM; Szederkényi G: Nonlinear reference tracking control of a gas turbine with load torque estimation, International Journal of Adaptive Control and Signal Processing, doi: 10.1002/acs.1020, 2008



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