Discrete-time Negative Imaginary Systems from ZOH Sampling
Systems and Control
2024-06-12 v3 Systems and Control
Optimization and Control
Abstract
A new definition of discrete-time negative imaginary (NI) systems is provided. This definition characterizes the dissipative property of a zero-order hold sampled continuous-time NI system. Under some assumptions, asymptotic stability can be guaranteed for the closed-loop interconnection of an NI system and an output strictly negative imaginary system, with one of them having a one step advance. In the case of linear systems, we also provide necessary and sufficient frequency-domain and LMI conditions under which the definition is satisfied. Also provided is a simple DC gain condition for the stability results in the linear case.
Cite
@article{arxiv.2312.05419,
title = {Discrete-time Negative Imaginary Systems from ZOH Sampling},
author = {Kanghong Shi and Ian R. Petersen and Igor G. Vladimirov},
journal= {arXiv preprint arXiv:2312.05419},
year = {2024}
}
Comments
8 pages, 4 figures. 26th International Symposium on Mathematical Theory of Networks and Systems