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

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 designin...

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Hauptverfasser: Gunjal, Revati, Nayyer, Syed Shadab, Wagh, Sushama, Singh, Navdeep
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.2407.00780