Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems
Optimization and Control
2024-12-31 v1
Abstract
The problem of a generalized type of -control is investigated for a class of admissible descriptor systems with a non-zero initial vector. A generalized performance measure is used, which characterizes the weighted damping level of external and initial disturbances. A non-degenerate transformation of the system is proposed, which allows to apply known methods for evaluation and the achievement of desired performance measures for conventional lower-order systems. A numerical example of a controlled hydraulic system with three tanks is given.
Keywords
Cite
@article{arxiv.2412.20827,
title = {Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems},
author = {A. G. Mazko},
journal= {arXiv preprint arXiv:2412.20827},
year = {2024}
}
Comments
in Ukrainian language