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Mechanics and Model Based Control
Abstract:
The present contribution gives an overview on own research that has been performed from 2008 to 2011 in Area 2, Mechanics and Model Based Control, of the COMET K2 Austrian Center of Competence in Mechatronics (ACCM), which is situated at the Science Park of the Johannes Kepler University of Linz. Area 2 is motivated by the fact that mechanics and control both are rapidly expanding scientific fields, which share demanding mathematical and/or system-theoretic formulations and methods. The goal of Area 2 has been to utilize and extend these relations, with special emphasis on solid mechanics and control methods based on physical models. Some corresponding results will be reviewed subsequently with respect to the mechanical modelling of structures, robots and machines, and with respect to the corresponding model based control as linear/non-linear lumped/distributed parameter systems. Due to limitations in space, the present review restricts itself to work of Area 2 that has been directly performed at the University of Linz. The review contains 118 references to works on mechanics and model based control.
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September 2012
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[47] A. Macchelli, Claudio Melchiorri, A Formal Method for Improving the Transient Behavior of a Nonlinear Flexible Link, , Proceedings MATHMOD 2009 Vienna, Seite(n) 934 - 942, 2-(2009).
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[57] P. Berik, A. Benjeddou, Piezoelectric d15 shear response-based torsion actuation mechanism: an experimental benchmark and its 3D finite element simulation, Int. J. Smart and Nano Mat. 1 (2010) 224-235.
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[83] M. Zellhofer, M. Krommer, Y. Vetyukov, G. Zenz, Structural Control of Multi-Storey Frame Structures with Piezoelectric Sensor / Self-Sensing Actuator Networks, in: Proc. Fifth World Conf. Structural Control and Monitoring (5WCSCM), Tokyo, Japan, 2010, paper no. 129, 10 pages.
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[84] G. Zenz, W. Berger, M. Nader, J. Gerstmayr, Active and passive piezoelectric vibration and noise control of plates, In: Proc. 14th Int. Adaptronic Congress, Darmstadt, 2011, pp.274-280.
[85] M. Krommer, M. Zellhofer, H. Irschik, Numerical and experimental verification of piezoelectric sensor networks for health monitoring and control of frame structures, in: C. Gentile, F. Benedettini, (Eds. ), Proc. 4th Int. Conf. Exp. Vibration Analysis Civil Eng. Struct. (EVACES 2011), Varenna, Italy, 2011, pp.585-592.
[86] Ch. Zehetner, Compensation of torsion in rods by piezoelectric actuation, Archive of Applied Mechanics, 78 (2008) 921-933.
[87] Ch. Zehetner, Compensation of torsional vibrations in rods by piezoelectric actuation, Acta Mechanica 207 (2009) 121-133.
[88] Ch. Zehetner, M. Krommer, Control of torsional vibrations by piezoelectric sensors and actuators, in: M. Papadrakakis, N.D. Lagaros and M. Fragiadakis, Proceedings of ECCOMAS Them. Conf. Comp. Meth. Struct. Dyn. Earthquake Eng. (COMPDYN 09), 2009, 14 pages.
[89] Ch. Zehetner, H. Irschik, Compensation of flexural and torsional vibrations of piezo-laminated beams performing rigid-body motions, in: CD-ROM Proc. IV European Conference on Computational Mechanics, (ECCM 2010), Paris, France, 2010, paper ID769.
[90] Ch. Zehetner, M. Krommer, Control of torsional vibrations in piezolaminated rods, Structural Control & Health Monitoring 4 (2011).
DOI: 10.1002/stc.455
[91] Ch Zehetner, M. Zellhofer, M. Krommer, Piezoelectric torsional sensors and actuators - a computational study, in: M. Papadrakakis, N.D. Lagaros, M. Fragiadakis (Eds. ), Proc. ECCOMAS Thematic Conference on Comp. Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011), Corfu, Greece, 2011, 11 pages.
[92] J. Schöftner, H. Irschik, Passive damping and exact annihilation of vibrations of beams using shaped piezoelectric layers and tuned inductive networks, Smart Materials und Structures, (2009) 125008-1 -125008-9.
[93] J. Schöftner, H. Irschik, Piezoelastic Structures Interacting with Electric Networks: Vibration Canceling and Shape Control, in: Proc. Fifth World Conference Structural Control and Monitoring (5WCSCM), Tokyo, Japan, 2010, paper no. 5WCSCM-090, 13 pages.
[94] J. Schöftner, H. Irschik, A comparative study of smart passive piezoelectric structures interacting with electric networks: Timoshenko beam theory versus finite element plane stress calculations, Smart Materials and Structures 20 (2011).
[95] J. Schöftner, H. Irschik, Passive shape control of force-induced harmonic lateral vibrations for laminated piezoelastic Bernoulli-Euler beams-theory and practical relevance, Smart Structures and Systems 7 (2011) 417-432.
[96] R. Stadlmayr, K. Schlacher, Tracking Control for Port-Hamiltonian Systems using Feedforward and Feedback Control and a State Observer, in Proceedings of the 17th World Congress IFAC, Seoul, Korea, 2008, pp.1833-1838.
[97] B. Ramsebner, K. Rieger, Energy based control of a hydromechanical system, Robotics and Autonomous Systems 57 (2009) 1006 – 1011.
[98] K. Rieger, Geometry of Infinite-Dimensional Systems, in: I. Troch, F. Breitenecker (Eds. ), CD Proceedings Vienna Mathmod 09, Argesim Report No. 35, (2009).
[99] K. Schlacher, M. Schöberl, Hamiltonian Field Theory and Mechanics, in: I. Troch, F. Breitenecker (Eds. ), CD Proceedings Vienna Mathmod 09, Argesim Report No. 35, (2009).
[100] K. Schlacher, R. Stadlmayr, An energy-based Control Strategy for DC/DC Power Converters, in: Proceedings European Control Conference, ECC '09, Budapest, (2009).
[101] K. Rieger, K. Schlacher, A Group-Theoretic Approach to Parameter Identifiability of PDE Systems, PAMM, Proceedings in Applied Mathematics and Mechanics 10 (2010) 619-620.
[102] K. Rieger, K. Schlacher, Accessibility and observability for a class of first-order PDE systems with boundary control and observation, in: Proc. 19th Int. Symp. Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, (2010).
[103] A. Siuka, M. Schöberl, K. Schlacher, Hamiltonian Evolution Equations of inductionless Magnetohydrodynamics, in: Proc. 19th Int. Symp. Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, 2010, p.1889 – 1896.
[104] M. Schöberl, K. Rieger, K. Schlacher, System parametrization using affine derivative systems, in: Proc. 19th Int. Symp. Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary, (2010).
[105] K. Rieger, K. Schlacher, Accessibility Conditions for PDE Systems and the Adjoint System, in: Proc. 8th IFAC Symposium on Nonlinear Control Systems, (NOLCOS 2010), Bologna, Italy, (2010).
[106] M. Schöberl, K. Schlacher, On Parametrizations for a Special Class of Nonlinear Systems, in: Proc. 8th IFAC Symposium on Nonlinear Control Systems, (NOLCOS 2010), Bologna, Italy, 2010, pp.1261-1266.
[107] K. Schlacher, T. Rittenschober, Control of Plate Vibrations with Piezo Patches using an Infinite Dimensional Port Controlled Hamiltonian System with Dissipation Formulation, in: B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru and M.L. Romero (Eds. ), CD-Rom Proc. Tenth Int. Conf. Comp. Structures Technology (CST 2010, Valencia, Spain), Civil-Comp Press, (2010).
DOI: 10.4203/ccp.93.210
[108] H. Seyrkammer, D. Almer, S. Fuchshumer, K. Rieger, M. Schöberl, K. Schlacher, Flatness-based Temperature Control of Metal Sheets, in: Proceedings IFAC Symposium on Mechatronic Systems, Cambridge, Mass., (2010).
[109] M. Schöberl, A. Siuka, K. Schlacher, Geometric Aspects of First Order Field Theories in Piezoelectricity and Magnetohydrodynamics, in: Proceedings Int. Conf. on Electromagnetics in Advanced Applications (ICEAA 2010), 2010, pp.55-58.
[110] K. Rieger, M. Schöberl, K. Schlacher, Local Decomposition and Accessibility of PDE Systems, in: Proc. 49th IEEE Conference on Decision and Control (CDC 2010), Atlanta, Georgia, 2010, pp.6271-6276.
[111] K. Weichinger, K. Schlacher, M. Schöberl, S. Fuchshumer, Modeling, Analysis and Control of Coupled Elastic Structures with the Focus on Vibration Attenuation, in: CD Proceedings of Fifth World Conference on Structural Control and Monitoring (5WCSCM) Tokyo, Japan, (2010).
[112] R. Stadlmayr, H. Daxberger, Tracking Control for a PM Linear Actuator System, in: 12th Int. l Conf. Sciences and Techniques Automatic Control & Computer Eng. (STA´2010), (2010).
[113] M. Schöberl, K. Schlacher, First Order Hamiltonian Field Theory and Mechanics, Mathematical and Computer Modelling of Dynamical Systems 17 (2011) 105-121.
[114] A. Siuka, M. Schöberl, K. Schlacher, Port-Hamiltonian modelling and energy-based control of the Timoshenko beam - An approach based on structural invariants, Acta Mechanica 222 (2011) 69-89.
[115] A. Siuka, M. Schöberl, K. Rieger, K. Schlacher, Regelung verteilt-parametrischer Hamiltonscher Systeme auf Basis struktureller Invarianten, at - Automatisierungstechnik 59 (2011) 465-478.
[116] K. Schlacher, M. Schöberl, M. Staudecker, Flatness Based Control of Linear and Nonlinear Systems, in H. Irschik, M. Krommer, A.K. Belyaev, Advanced Dynamics and Model Based Control of Structures and Machines, Springer, Wien NewYork, 2011, pp.195-203.
[117] M. Schöberl, K. Schlacher, On calculating flat outputs for Pfaffian systems by a reduction procedure- demonstrated by means of the VTOL example, in: Proc. 9th IEEE International Conference on Control & Automation (ICCA11), Santiago, Chila, 2011, pp.477-482.
[118] M. Schöberl, A. Siuka, On Casimir Functionals for Field Theories in Port-Hamiltonian Description, in: Proc. 50th IEEE Conference on Decision and Control (CDC 2011), Orlando, Florida, pp.7759-7764.