Prof. GIUSEPPE CONTE, Universita Politecnica delle Marche, Italy
Speech Title: Almost Disturbance Decoupling for Linear Switching Systems
Giuseppe Conte received the Laurea in Mathematica cum Laude from the University of Genova, Italy, in 1974. After being Lecturer and Associated Professor at the University of Genova, from 1990 he is Professor of System Theory at the Università Politecnica delle Marche, Italy. He was awarded a Fulbright Scholarship in 1980 and 1987 and a NATO Senior Fellowship in 1987. He has been Visiting Professor at the Ohio State University of Columbus, Ohio, 1987, and at the Ecole Centrale de Nantes, France, 1988. He has been Chairman of the IFAC TC on Linear Control Systems (2011-2017) and Chairman of the Italian Chapter of the IEEE Control Systems Society (1998-2015). He is Senior Member of the IEEE Control System Society and Member of the Accademia Marchigiana di Scienze Lettere ed Arti. He has been General Chairman/IPC Chairman of several international conferences and Associate Editor of the SIAM Journal on Control and Optimization; of the Proceedings of the IFAC World Conference and of the IMA Journal of Mathematical Control and Information. He has been Principal Investigator in national, European and other international research projects. His research interests are in algebraic and geometric system and control theory and in robotics and he published more than 300 papers in peer-reviewed journals and conference proceedings and three books on those topics.
Abstract: The aim of this paper is to study the problem of design a static state feedback law to bound the norm of the output of a linear switching system with respect to the norm of an unknown disturbance input. The problem can be formalized as an almost disturbance decoupling problem and, as such, it can be dealt with by adopting a structural point of view. To this aim, a suitable notion of almost controlled invariant subspace for a linear switching system is introduced and studied. In particular, the lattice of all almost controlled invariant subspaces contained in a given subspace of the state space is shown to have a maximum element , which can be computed by means of an algorithmic procedure. Then, it is proved that the almost disturbance decoupling problem can be solved if the image of the disturbance is contained in the subspace .
Prof. Jan Awrejcewicz, The Lodz University of Technology, Poland
Speech Title: Periodic vs. chaotic dynamics of structural members with an account of Casimir forces and temperature field.
JA has been graduated from the Lodz University of Technology (LUT) in 1977 (Mechanics) and from the University of Lodz in 1978 (Philosophy). He obtained PhD (Habilitation) in 1981 (1990), and he became a Full Professor in 1997. Now he is a chair person of Department of Automation, Biomechanics and Mechatronics, head of a 4‐years Doctoral School on Mechanics, and a head of the Mechatronics Study at LUT. His research includes: Nonlinear mechanics (analytical, numerical and experimental methods): continuous systems (plates, shells, beams, and structures); thermo‐elasticity; mathematical methods in mechanics; asymptotic methods; dynamics of lumped mechanical systems; bifurcation and chaos; numerical methods; non‐smooth and discontinuous systems. Mechatronics and Control (mechanical and machatronical processes control; vibrations control; optimization). Biomechanics (modeling and analysis of human organs; stability of a human gait and motion; experimental and numerical methods). JA authored and/or co‐authored: monographs‐44 (25 in Polish; 1 in Russian); textbooks‐2; editor/conference proceedings‐13; journal papers‐300; conference papers-337; chapters in books‐43, post-conference papers in books-23. Editor of 12 books, and Guest‐Editor of 18 journal special issues. He is the Editor of theJournal of Modeling, Simulation, Identification, and Control, Columbia International Publishing, USA.He supervised 20 PhD theses, and taught the following courses:Technical Mechanics; Control Theory; Fundamentals of Automation; Theory of Machines and Mechanisms; Biomechanics; Automation and Dynamics of Machines; Dynamic Systems and Control; Modeling and Control of Dynamic Processes; Mathematical Methods of Mechanics; Mechanical Engineering; Advanced Dynamics; Mathematical Systems Modeling; Modeling and Optimization. He served/serves in Editorial Boards of 50 journals, gave 70 seminars at international universities, delivered 49 plenary/keynote talks, attended 300 conferences, and served as a member of scientific committees of over 100 conferences. He spent 10 years abroad carrying out research supported by: Fulbright Award for Seniors, University of California, Berkeley, 2001 (1 year); T. Kosciuszko Foundation Award, University of Illinois, Urbana (1999/2000), 3 months; Research Centre for Advanced Science and Technology, Tokyo University, Japan (1992), 9 months; Japan Society for Promotion of Science (JSPS), Tokyo University, Japan (1990‐1991), 1 year;Alexander von Humboldt Foundation, University of Braunschweig, Germany, (1987‐1990, 1993), 2 years; 'TEMPRA' (1995), ENTPE, Lyon (1 year), Région Rhône‐Alpes (France); NATO Grant Award, Lyon, 2005 (3 months); Central European University (Budapest) 2003/2004 (2 months); Waikato University, Hamilton (New Zealand) 1996/1997 (2 months), among other. JA is a recipient of the following international (I) and national (N) awards: (I) HUMBOLDT RESEARCH AWARD FOR SENIORS, TU Darmstadt, Germany, 2011‐2012; (N)MASTER Grant Award, Foundation for Polish Science, 2010‐2012; Golden Lamp Award (PGNiG) in technical sciences, 2006; awards of the Ministry of Science and Education for monographs in 2004, 2006, 2008; medal of Ministry of National Education (1998); Golden Cross of Merit (1996); Ministry of National Education award for publications (1996); Knight's and Officer's Crosses of Order of Poland Reborn (2001, 2013). JA is a founder/main organizer of the series of international conferences "Dynamical Systems – Theory and Applications" (12); the conferences "Mechatronics: Ideas for Industrial Applications", Warsaw, 16-18 May, 2012 and Łódź 12-14 May, 2014; "Nonlinearity, Bifurcation and Chaos. The Doors to Future", Łódź, 16-18 September, 1996 and "Biomechanics – Modelling, Numerical Simulations, Experimental Investigations and Biomedical Applications", Łódź, 7-8 December, 1998.
Abstract: In this work the mathematical models governing dynamics of micro- and nano-mechanical systems are derived. The considered MEMS/NEMS are under action of a stationary temperature field. The latter one is approximated by a solution to three dimensional heat transfer PDE, which is solved with a help of the finite difference method (FDM). The studied structural members are assumed to be elastic and homogeneous and our investigation included an account of the von Kármán geometric nonlinearity. In the case of mechanical behavior we employ the modified theory of elasticity, whereas the Duhamel-Neumann law approximates the temperature field action. The Hamilton’s principle is used for construction of nonlinear PDEs. Then the problem of infinite dimension is reduced to that of finite dimension, i.e. we finally consider a set of nonlinear ODEs, which are solved using a few algorithms of the Runge-Kutta methods. The signals/time histories, phase portraits, Fourier power spectra, Morlet wavelets as well as the Lyapunov exponents, obtained using the Wolf, Kantz and Rosenstein methods and a neural network, are analyzed. The approach based on combining qualitatively and methodologically different methods guarantees reliability of the obtained results. The influence of the magnitude of the Casimir force, nano-dimensional size parameter, size of a clearance between interacting structural members, as well as of the temperature field parameters on the non-linear dynamics of the studied structural members are reported.
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