Strictly negative imaginary state feedback control for relative degree two systems

James Dannatt; Ian R. Petersen

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arXiv · 2304.01687

Strictly negative imaginary state feedback control for relative degree two systems

James Dannatt·Ian R. Petersen

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Abstract

In this paper, we present a strictly negative imaginary state feedback control methodology for relative degree two negative imaginary systems such as flexible structures with collocated sensors and actuators. We show that by augmenting a nominal model with a destabilising PID controller, we can apply state feedback control to the system, resulting in a strictly negative imaginary nominal closed loop system with a prescribed degree of stability. Moreover, the overall system is guaranteed to be internally stable in the face of unmodelled spillover dynamics.

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James Dannatt, Ian R. Petersen. 2023-04-04. Strictly negative imaginary state feedback control for relative degree two systems. https://arxiv.org/abs/2304.01687

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