Algebraic Control: Complete Stable Inversion with Necessary and Sufficient Conditions
Optimization and Control
2025-09-01 v4 Systems and Control
Systems and Control
Abstract
In this paper, we establish necessary and sufficient conditions for stable inversion, addressing challenges in non-minimum phase, non-square, and singular systems. An H-Infinity based algebraic approximation is introduced for near-perfect tracking without preview. Additionally, we propose a novel robust control strategy combining the nominal model with dual feedforward control to form a feedback structure. Numerical comparison demonstrates the approach's effectiveness.
Cite
@article{arxiv.2501.00172,
title = {Algebraic Control: Complete Stable Inversion with Necessary and Sufficient Conditions},
author = {Burak Kürkçü and Masayoshi Tomizuka},
journal= {arXiv preprint arXiv:2501.00172},
year = {2025}
}