Unified Control Framework: A Novel Perspective on Constrained Optimization, Optimization-based Control, and Parameter Estimation

Fuente: arXiv
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Autori principali: Gunjal, Revati, Nayyer, Syed Shadab, Wagh, Sushama, Singh, Navdeep
Natura: Preprint
Pubblicazione: 2024
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author Gunjal, Revati
Nayyer, Syed Shadab
Wagh, Sushama
Singh, Navdeep
author_facet Gunjal, Revati
Nayyer, Syed Shadab
Wagh, Sushama
Singh, Navdeep
contents A common theme in all the above areas is designing a dynamical system to accomplish desired objectives, possibly in some predefined optimal way. Since control theory advances the idea of suitably modifying the behavior of a dynamical system, this paper explores the role of control theory in designing efficient algorithms (or dynamical systems) related to problems surrounding the optimization framework, including constrained optimization, optimization-based control, and parameter estimation. This amalgamation of control theory with the above-mentioned areas has been made possible by the recently introduced paradigm of Passivity and Immersion (P\&I) based control. The generality and working of P\&I, as compared to the existing approaches in control theory, are best introduced through the example presented below.
format Preprint
id arxiv_https___arxiv_org_abs_2407_00780
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unified Control Framework: A Novel Perspective on Constrained Optimization, Optimization-based Control, and Parameter Estimation
Gunjal, Revati
Nayyer, Syed Shadab
Wagh, Sushama
Singh, Navdeep
Optimization and Control
A common theme in all the above areas is designing a dynamical system to accomplish desired objectives, possibly in some predefined optimal way. Since control theory advances the idea of suitably modifying the behavior of a dynamical system, this paper explores the role of control theory in designing efficient algorithms (or dynamical systems) related to problems surrounding the optimization framework, including constrained optimization, optimization-based control, and parameter estimation. This amalgamation of control theory with the above-mentioned areas has been made possible by the recently introduced paradigm of Passivity and Immersion (P\&I) based control. The generality and working of P\&I, as compared to the existing approaches in control theory, are best introduced through the example presented below.
title Unified Control Framework: A Novel Perspective on Constrained Optimization, Optimization-based Control, and Parameter Estimation
topic Optimization and Control
url https://arxiv.org/abs/2407.00780