Imperial College London > Talks@ee.imperial > Control and Power Seminars > Negative Imaginary Systems Theory: An overview

Negative Imaginary Systems Theory: An overview

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Abstract: The negative imaginary notion broadly means that the (not necessarily bounded) frequency response of a transfer function (which is analytic in the open right half plane) has a negative imaginary part for all positive frequencies, i.e. the positive frequency branch of the Nyquist plot lies below (or on) the real axis. Negative imaginary systems theory is concerned with robust control systems analysis and synthesis for feedback interconnections that include such systems. Common examples of such systems include inertial systems that are actuated via forces or torques and that need regulation of co-located position or angular displacements. This talk will overview a range of results in the theory of negative imaginary systems, gradually building up the theory from its foundations and its underpinning notions to robust stability analysis and synthesis results. Some motivation examples will be provided along the way.

Biography: Alexander Lanzon received his Ph.D. degree in Control Engineering and his M.Phil. degree in Robot Control from the University of Cambridge in 2000 and 1997 respectively and received his B.Eng.(Hons). degree in Electrical and Electronic Engineering from the University of Malta in 1995. He has held research and academic positions at Georgia Institute of Technology and the Australian National University, and industrial positions at ST-Microelectronics (Malta) Ltd., Yaskawa Denki (Tokyo) Ltd. and National ICT Australia Ltd. In 2006, he joined the University of Manchester where he now holds the Chair in Control Engineering. Alexander is a Fellow of the Institute of Mathematics and its Applications, the Institute of Measurement and Control and the Institution of Engineering and Technology. He has served as an Associate Editor of the IEEE Transactions on Automatic Control from 2012 to 2018, and as a Subject Editor of the International Journal of Robust and Nonlinear Control from 2012 to 2015. His research interests include the fundamentals of robust feedback control theory for both linear and nonlinear dynamics, and the application of robust control systems design to innovative mechatronics and robotics problems.

This talk is part of the Control and Power Seminars series.

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