Strictly negative imaginary state feedback control for relative degree two systems
Optimization and Control
2023-04-05 v1 Systems and Control
Systems and Control
Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2304.01687,
title = {Strictly negative imaginary state feedback control for relative degree two systems},
author = {James Dannatt and Ian R. Petersen},
journal= {arXiv preprint arXiv:2304.01687},
year = {2023}
}
Comments
8 pages, IFAC 2023. arXiv admin note: text overlap with arXiv:2303.06861