A Scalable Procedure for $\mathcal{H}_{\infty}-$Control Design
Optimization and Control
2025-05-19 v1 Systems and Control
Systems and Control
Abstract
This paper proposes a novel gradient based scalable procedure for control design. We compute the gradient using algebraic Riccati equation and then couple it with a novel Armijo rule inspired step-size selection procedure. We perform numerical experiments of the proposed solution procedure on an exhaustive list of benchmark engineering systems to show its convergence properties. Finally we compare our proposed solution procedure with available semi-definite programming based gradient-descent algorithm to demonstrate its scalability.
Keywords
Cite
@article{arxiv.2505.10979,
title = {A Scalable Procedure for $\mathcal{H}_{\infty}-$Control Design},
author = {Amit Kumar and Prasad Vilas Chanekar},
journal= {arXiv preprint arXiv:2505.10979},
year = {2025}
}