MBSE Colloquium/UTRC CDS Lecture: Xiaobo Tan, "Model Reduction for Hysteresis Operators"
Friday, November 17, 2017
1146 AV Williams Building
301 405 6602
Model-Based Systems Engineering Colloquium/UTRC Control and Dynamical Systems Invited Lecture
Model Reduction for Hysteresis Operators
Xiaobo Tan (EE Ph.D. 2002)
MSU Foundation Professor
Department of Electrical and Computer Engineering
Michigan State University
Hosts: André Tits and John Baras
Hysteresis is a nonlinear phenomenon that arises in diverse disciplines, ranging from physics to biology, material science to mechanics, and electronics to economics. A popular approach to modeling complex hysteresis exploits weighted combination of a large number or even continuum of basic hysteresis units, known as hysterons. For example, the Prandtl-Ishlinkskii (PI) hysteresis model is built upon backlash units of different widths. The number of hysterons directly determines the computational complexity associated with modeling, parameter identification, analysis, and control of the hysteresis nonlinearity. In this talk we discuss the problem of optimal reduction of generalized PI hysteresis operators, where, for a given M, we seek to find an operator with M hysterons, to best approximate the original operator that has N > M hysterons. We show how this optimization problem can be reformulated as an optimal control problem and solved with dynamic programming, where an information-theoretic measure, entropy, is used in defining the model reduction error. We illustrate the approach with simulation results as well as experimental results from a multifunctional smart material, vanadium dioxide.
Dr. Xiaobo Tan is an MSU Foundation Professor in the Department of Electrical and Computer Engineering and Department of Mechanical Engineering (by courtesy) at Michigan State University (MSU). He received his bachelor’s and master’s degrees in automatic control from Tsinghua University, China, in 1995 and 1998, respectively, and his Ph.D. degree in electrical and computer engineering from the University of Maryland, College Park, in 2002. He was a postdoc with Institute for Systems Research at University of Maryland before joining the faculty at MSU in 2004. His research interests include bio-inspired underwater robots and their application to environmental sensing, electroactive polymer sensors and actuators, modeling and control of systems with hysteresis, and soft robotics. He has published over 200 journal and conference papers and holds two US patents on these topics. Dr. Tan has served on the editorial boards of Automatica, IEEE/ASME Transactions on Mechatronics, and International Journal of Advanced Robotic Systems. He has also been a Guest Editor for special issues or focused sections for five journals. Dr. Tan is keen to integrate his research with educational and outreach activities, and has served as Director of an NSF-funded Research Experiences for Teachers (RET) Site program at MSU from 2009 - 2016 and Curator of a robotic fish exhibit at MSU Museum in 2016. Dr. Tan is a Fellow of IEEE, and a recipient of the NSF CAREER Award (2006), MSU Teacher-Scholar Award (2010), and several Best Paper Awards.