Algebraic Control: Complete Stable Inversion with Necessary and Sufficient Conditions

Fuente: arXiv
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Auteurs principaux: Kürkçü, Burak, Tomizuka, Masayoshi
Format: Preprint
Publié: 2024
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author Kürkçü, Burak
Tomizuka, Masayoshi
author_facet Kürkçü, Burak
Tomizuka, Masayoshi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00172
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Algebraic Control: Complete Stable Inversion with Necessary and Sufficient Conditions
Kürkçü, Burak
Tomizuka, Masayoshi
Optimization and Control
Systems and Control
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.
title Algebraic Control: Complete Stable Inversion with Necessary and Sufficient Conditions
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2501.00172