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Negative imaginary systems theory: An introduction

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If you have a question about this talk, please contact Fulvio Forni .

The negative imaginary systems notion broadly means that the output of a system follows, but lags behind, a sinusoidal input by not more than 180 degree phase lag. In a SISO LTI setting, this means that the positive frequency branch of the Nyquist plot has a negative imaginary part from where the name arises. It turns out that these systems are highly suited to capture, for example, inertial dynamics of mechanical systems (e.g. robots, large space structures, etc) because the input-output map from force (or torque) actuation to colocated position (or angular position) measurement possess this property as a simple consequence of Newton’s second law of motion. Negative imaginary systems theory is related, but complementary, to passivity theory. This talk will give a brief introduction to negative imaginary systems theory and will outline some of the key results in this area.

The seminar will be held in the LR3B , Department of Engineering, and online (zoom): https://newnham.zoom.us/j/92544958528?pwd=YS9PcGRnbXBOcStBdStNb3E0SHN1UT09

This talk is part of the CUED Control Group Seminars series.

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