2020/12/17 by Martin Guay, Guay, Martin, Mouhacine Benosman +1
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Extremum Seeking Control Systems #FOS: Mathematics #Mechanical and Optical Resonators #Optimization and Control (math.OC) #Receptor Mechanisms and Signaling
paper · pdf · doi:10.48550/arxiv.2012.09795
openalex publication_date 2020/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper proposes a finite-time Newton seeking control design for systems described by unknown multivariable static maps. The Newton seeking system has an averaged system that implements a Newton continuous-time algorithm. The averaged Newton seeking system is shown to achieve finite-time stability of the unknown optimum of the static map. An averaging analysis demonstrates that the proposed Newton-seeking achieves finite-time practical stability of the optimum. A simulation study is used to demonstrate the effectiveness of the design method.