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17th International Conference on Control, Automation and systems (ICCAS)

作者： Shah, Umer Hameed Piao, Mingxu Kim, Gyoung-Hahn Hong, Keum-Shik Pusan Natl Univ Sch Mech Engn Busan 46241 South Korea

ISBN: (纸本)9788993215144

This paper addresses the vortex-induced vibration (VIV) suppression problem of nuclear fuel rods, which are transported by a refueling machine (RM) to given reactor locations in water. First, Hamilton's principle is used to develop the equations of coupled motions of the RM and the fuel rod. The resulting equations of the hybrid (lumped-mass RM and distributed-parameter flexible rod) system are then utilized to investigate the VIVs of the fuel rod upon the movements of the RM. Then, a boundary control scheme is developed to suppress the VIVs of the rod in the course of its transportation in water. Furthermore, Lyapunov function-based stability analyses are performed to prove the uniform ultimate boundedness of the closed-loop system, considering the influence of the nonlinear hydrodynamic force acting on the fuel rod. Finally, simulations are performed to demonstrate the effectiveness of the proposed boundary control scheme.

关键词： distributed-parameter system vibration control Lyapunov method vortex-induced vibration

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Backstepping-based boundary observer for a class of time-varying linear hyperbolic PIDEs

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AUTOMATICA 2016年 68卷 369-377页

作者： Deutschmann, Andreas Jadachowski, Lukas Kugi, Andreas Vienna Univ Technol Complex Dynam Syst Grp Automat & Control Inst A-1040 Vienna Austria Vienna Univ Technol Christian Doppler Lab Model Based Proc Control St A-1040 Vienna Austria

In this paper, a Luenberger-type boundary observer is presented for a class of distributed-parameter systems described by time-varying linear hyperbolic partial integro-differential equations. First, known limitations due to the minimum observation time for simple transport equations are restated for the considered class of systems. Then, the backstepping method is applied to determine the unknown observer gain term. By avoiding the framework of Gevrey-functions, which is typically used for the time varying case, it is shown that the backstepping method can be employed without severe limitations on the regularity of the time-varying terms. A modification of the underlying Volterra transformation ensures that the observer error dynamics is equivalent to the behavior of a predefined exponentially stable target system. The magnitude of the observer gain term can be traded for lower decay rates of the observer error. After the theoretic results have been proven, the effectiveness of the proposed design is demonstrated by simulation examples. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： distributed-parameter system Hyperbolic PIDE Luenberger-type observer Boundary observer Backstepping

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Optimization of isothermal pressing of ingots of aluminum alloys with the preliminary gradient heating

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RUSSIAN JOURNAL OF NON-FERROUS METALS 2016年第3期57卷 217-223页

作者： Pleshivtseva, Yu. E. Afinogentov, A. A. Samara State Tech Univ Ul Molodogvardeiskaya 244 Samara 443100 Russia

Pressing of preliminarily heated billets of aluminum alloys on hydraulic presses of the "heating-pressure treatment" industrial complex is investigated. The heating stage is implemented in a multisectional inductor providing the specified temperature drop over the billet length. To form the most favorable conditions of isothermal pressing, a special problem of the parametric optimization of pressing to the accuracy maximum of approaching the temperature in a matrix die to its maximally admissible value according to production requirements is formulated and solved. The temperature state of a billet after its loading into the press container is considered as a controlling effect at the pressing stage. To solve the problem, a special alternance method for the optimization of systems with the distributed parameters is used. This method is implemented based on the developed mathematical models of billet temperature fields at heating and pressing stages.

关键词： industrial complex gradient induction heating isothermal pressing parametric optimization alternance method distributed-parameter system

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Dynamical Model of Axially Moving Steel Strips

Dynamical Model of Axially Moving Steel Strips

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

作者： Saxinger, M. Steinboeck, A. Baumgart, M. Kugi, A. Vienna Univ Technol Automat & Control Inst Christian Doppler Lab Model Based Proc Control St Vienna Austria Vienna Univ Technol Automat & Control Inst Vienna Austria

Axially moving strips are frequently encountered in industry for various applications. On the one hand, accurate models of transverse displacements of strips are desired for plant design and safety or reliability reasons. On the other hand, the models may serve as a basis for model-based controller and observer design. For the latter also, the complexity of the models should be as low as possible. This work focuses on the development of dynamical models of the motion and elastic deformation of axially moving steel strips guided by rolls. For spatial discretization of both in-plane and out-of-plane motion, the Galerkin weighted residual method is employed and the longitudinal direction of the strip is divided into finite elements. A tailored time integration method is implemented and dynamic simulations for different boundary conditions of a strip in a hot dip galvanizing line are carried out and analyzed. The influence of the geometrical nonlinearity on the transversal displacements of the strip is investigated by means of a faulty air cooler. Finally, the affect of the geometrical nonlinearity on the dynamic and static behavior of the steel strip is investigated in more detail. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Mechanical system Wave equations Dynamical models distributed-parameter system Mathematical model Control applications Steel industry Numerical simulation

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A Numerical Implementation of an Extended Luenberger Observer for a Class of Semilinear Hyperbolic PIDEs

A Numerical Implementation of an Extended Luenberger Observe...

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

作者： Deutschmann, Andreas Jadachowski, Lukas Kugi, Andreas Vienna Univ Technol Automat & Control Inst Complex Dynam Syst Grp Vienna Austria Vienna Univ Technol Christian Doppler Lab Model Based Proc Control St Vienna Austria

In this paper, an extended Luenberger observer for a class of semilinear hyperbolic PIDEs is proposed to solve the problem of state estimation. The nonlinear observer error dynamics is linearized and then stabilized locally by applying the backstepping method for time-varying linear hyperbolic PIDEs presented recently. Since the resulting kernel equation is computationally quite expensive, a numerical algorithm is proposed to obtain the solution in an efficient way. Finally, this algorithm is applied to an example with multiple equilibrium points, and the influence of the design parameters on the stability is investigated in more detail. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed-parameter system Boundary Observer Backstepping Hyperbolic PIDE Extended Luenberger Observer Numerical Implementation

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Nonlinear Optimal Control in Catalytic Process via Stable Manifold Method 5

Nonlinear Optimal Control in Catalytic Process via Stable Ma...

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

作者： Hamaguchi, Kenichi Nishida, Gou Sakamoto, Noboru Yamamoto, Yutaka Kyoto Univ Grad Sch Informat Dept Appl Anal & Complex Dynam Syst Kyoto 6068501 Japan Tokyo Inst Technol Grad Sch Informat Sci & Engn Dept Mech & Environm Informat Meguro Ku 2-12-1 W8-1 Tokyo 1528552 Japan Nanzan Univ Fac Sci & Engn Dept Mechatron Shyowa Ku 18 Yamazato Cho Nagoya Aichi 4668673 Japan Kyoto Univ Grad Sch Informat Dept Appl Anal & Complex Dynam Syst Kyoto 6068501 Japan

This paper proposes an it feedback control design for the nonlinear partial differential equation of a catalytic rod tit a reactor via stable manifold method. Stable manifold method provides numerical stabilizing;solutions of Hamilton-Jacobi equations in nonlinear optimal control theory. Vie apply this method to a reduced order system obtained from the proper orthogonal decomposition and Galerkin projection. The feasibility of the design is demonstrated by a numerical example.(C) 2015, ILAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： optimal control distributed-parameter system nonlinear systems proper orthogonal decomposition stable manifold method

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Influence of Air Cooling Jets on the Steady-State Shape of Strips in Hot Dip Galvanizing Lines ∗

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IFAC-PapersOnLine 2015年第17期48卷 143-148页

作者： M. Saxinger A. Steinboeck M. Baumgart P. Kerschbaummayr A. Kugi Christian Doppler Laboratory for Model-Based Process Control in the Steel Industry Automation and Control Institute Vienna University of Technology Austria Automation and Control Institute Vienna University of Technology Austria voestalpine Stahl GmbH Linz Austria

The influence of air cooling jets on the steady-state shape of the strip in hot dip galvanizing lines is investigated. For this purpose, the force characteristic of a single nozzle is measured by a laboratory flow simulator. This approach differs from conventional methods, where typically, CFD simulations are used. Based on the air cooler force characteristic the stability of the equilibrium points is investigated and the influence of different types of boundary conditions, tensile loads, strip thicknesses, and cooler fan speeds is examined.

关键词： Mechanical system Static models Moving objects distributed-parameter system Mathematical model Stability analysis Steel industry Numerical simulation Equilibrium

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Nonlinear Optimal Control in Catalytic Process via Stable Manifold Method

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IFAC-PapersOnLine 2015年第13期48卷 250-255页

作者： Kenichi Hamaguchi Gou Nishida Noboru Sakamoto Yutaka Yamamoto Department of Applied Analysis and Complex Dynamical Systems Graduate School of Informatics Kyoto University Kyoto 606-8501 JAPAN Department of Mechanical and Environmental informatics Graduate School of Information Science and Engineering Tokyo Institute of Technology 2-12-1 W8-1 O-okayama Meguro-ku Tokyo 152-8552 JAPAN Department of Mechatronics Faculty of Science and Engineering Nanzan University 18 Yamazato-cho Shyowa-ku Nagoya 466-8673 JAPAN. Department of Applied Analysis and Complex Dynamical Systems Graduate School of Informatics Kyoto University Kyoto 606-8501 JAPAN.

This paper proposes an optimal feedback control design for the nonlinear partial differential equation of a catalytic rod in a reactor via stable manifold method. Stable manifold method provides numerical stabilizing solutions of Hamilton-Jacobi equations in nonlinear optimal control theory. We apply this method to a reduced order system obtained from the proper orthogonal decomposition and Galerkin projection. The feasibility of the design is demonstrated by a numerical example.

关键词： optimal control distributed-parameter system nonlinear systems proper orthogonal decomposition stable manifold method

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Backstepping design for parabolic systems with in-domain actuation and Robin boundary conditions

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IFAC Proceedings Volumes 2014年第3期47卷 5175-5180页

作者： Frank Woittennek Siqian Wang Torsten Knüppel Institute of Control Theory Technische Universität Dresden 01069 Dresden Germany

State feedback design for linear parabolic systems with in-domain actuation and general Robin boundary conditions is considered. To this end the system is shown to be state equivalent to a boundary controlled system. By means of the well established backstepping transformation this latter system is feedback equivalent to a stable parabolic equation. Within the contribution previous results concerning systems with Neumann boundary conditions are generalized by means of functional analytic methods. Existence of the involved transformations is discussed by means of the Fredholm theory while a late lumping approach is proposed for the numerical implementation.

关键词： distributed-parameter system parabolic system state feedback backstepping

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Backstepping-method for parabolic systems with in-domain actuation

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IFAC Proceedings Volumes 2013年第26期46卷 43-48页

作者： Siqian Wang Frank Woittennek Institute of Control Theory Technische Universität Dresden 01069 Dresden Germany

State feedback design for linear parabolic systems with in-domain actuation is considered. This is achieved by generalizing the backstepping approach originally developed for boundary controlled systems by means of an additional state transform that associates the system under consideration with an equivalent boundary controlled system. This state transform is determined by exploiting the flatness property of the system under consideration, i.e., the parametrization of its solutions by the trajectory of a so-called flat output.

关键词： distributed-parameter system parabolic system state feedback backstepping flatness

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