Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems Using Small Gain and Popov Methods
Systems and Control
2016-03-22 v2
Abstract
This paper extends applications of the quantum small gain and Popov methods from existing results on robust stability to performance analysis results for a class of uncertain quantum systems. This class of systems involves a nominal linear quantum system and is subject to quadratic perturbations in the system Hamiltonian. Based on these two methods, coherent guaranteed cost controllers are designed for a given quantum system to achieve improved control performance. An illustrative example also shows that the quantum Popov approach can obtain less conservative results than the quantum small gain approach for the same uncertain quantum system.
Cite
@article{arxiv.1508.06377,
title = {Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems Using Small Gain and Popov Methods},
author = {Chengdi Xiang and Ian R. Petersen and Daoyi Dong},
journal= {arXiv preprint arXiv:1508.06377},
year = {2016}
}
Comments
10 pages, 4 figures. This paper has extended the results in the previous paper arXiv:1404.3884