### Inverse Problems in Mechatronics: From Calibration and Measurement to Control and Design

Matthew Harker

Institute for Automation, University of Leoben, Leoben, Austria

December 20, 2016 at 2:00 PM

MD267

In mechatronics, to deal with digital signals, discrete methods are required to solve both direct and inverse problems. In general, we may discretize a linear integro-differential operator as a matrix, while simultaneously incorporating some form of regularization (e.g., data smoothing). This yields a highly intuitive method for solving ODE and PDE as well as corresponding inverse problems. With this new approach, we give practical examples of the inverse problems of optimal control, the parameter identification problem for systems, as well as the design of distributed parameter systems for a desired response. Applications of the methods presented include the design of a beam with desired mode shapes, or a robotic manipulator with muscle-like dynamics.

BIOGRAPHY:::

Matthew Harker was born in Toronto, Canada. He obtained the B.Eng. degree in mechanical engineering with a specialization in mechatronics from McGill University, Montreal, QC, Canada, in 2003, and the Dr.mont. (Ph.D.) degree in mechanical engineering from the Mining University of Leoben, Leoben, Austria, in 2008. His doctoral thesis was on the topic of algebraic and geometric techniques for optimization in digital image-based precision measurement systems (metric vision). In 2016 he obtained his habilitation (docent) in Automation Engineering, with the Habilitationsschrift “Differential Equations, Inverse Problems, and Fractional Calculus in Mechatronics.” He is currently a Privat-Dozent with the Chair for Automation, University of Leoben, Leoben, Austria. His area of research is geometric, probabilistic, and discrete integro-differential methods for the regularized solution of inverse problems that arise in the field of mechatronics and cyber-physical systems.