Title:

Estimation of systems modelled by partial differential equations

Abstract:

In many physical applications, the system’s state varies with spatial variables as well as time. Such systems are modelled by partial differential equations and the state evolves on an infinite-dimensional space. The full state of these systems cannot be measured. Estimation and observer design an important tool for estimating the full state. The idea is to combine information from measurements and the model, both of which contain errors, to arrive at a estimate of the system state. Often only some aspect of the state needs to be estimated, not the whole state. This, and also the nature of disturbances, should guide the choice of observer design. The well-known Kalman filter is described, and also several other types of estimators for output estimation of infinite-dimensional systems, along with the influence of sensor location and design on estimator accuracy.

Biography:

Prof. Kirsten Morris’ research interests are control and estimation of systems modelled by partial differential equations and also systems, such as smart materials, involving hysteresis. Her recent research has focused on improving performance through attention to actuator location as part of controller design, and sensor location as part of estimator design. She has written several books “Controller Design for Distributed Parameter Systems” and “Introduction to Feedback Control”, and was editor of the book “Control of Flexible Structures”. She is  a professor in  the Applied Mathematics Department at the University of Waterloo. She has held visiting positions at ICASE (NASA Langley), the Fields Institute, the Institute for Mathematics & Applications, and the Institut de Mathematiques in Bordeaux. Prof. Morris served as a vice-president of the IEEE Control System Society from 2013-2016, vice-chair of the SIAM Control & Systems Theory group 2016-2017 and chair 2018-2019. She is an associate editor with the IEEE Transactions on Automatic Control and is currently an associate editor for SIAM Journal on Control & Optimization, as well as Asian Journal of Control; an honorary editor for Mathematics of Control, Signals & Systems, and a member of the editorial board of the SIAM book series Advances in Design & Control. Prof. Morris is a Fellow of both IEEE and SIAM.

 


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