Stability of extremum seeking feedback for general nonlinear dynamic systems

By Miroslav Krstic, Hsin-Hsiung Wang. at - Automatisierungstechnik, 2000

1,406 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/f4ffd04113cbf97f6eafbe25e89a608402a4ba79

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In Control and Systems Engineering

Citations in the corpus

Multivariable Newton-based extremum seeking (2011, methodology): “We make the following assumptions about the closed-loop system, as in [12].”
Technical communique: On the choice of dither in extremum seeking systems: A case study (2008, neutral): “In particular, this is the simplest possible variant of schemes considered in Krsti´c and Wang (2000) that can still illustrate that the choice of dither affects the extremum seeking in several different aspects.”
Process optimization via constraints adaptation (2008, methodology): “Alternative methods have also been proposed such as dynamic perturbations [12], and recursive Broyden-like updates [13].”
Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems (2014, background): “The ESC (Ariyur & Krstić, 2003; DeHaan & Guay, 2005; Krstić & Wang, 2000; Popovic, Jankovic, Magner, & Teel, 2006; Tan, Nešić, & Mareels, 2006; Teel & Popović, 2001; Zhang & Ordóñez, 2009) is a method for tracking a variational optimum.”
Feedback shear layer control for bluff body drag reduction (2008, methodology): “It is an extension to well-known extremum-seeking schemes and is described in detail by Krstić & Wang (2000) and Ariyur & Krstić (2003).”
Lyapunov-based switched extremum seeking for photovoltaic power maximization (2013, methodology): “Unfortunately, the linearization test applied in Krstic and Wang (2000) fails in this case because the Jacobian contains a zero eigenvalue.”
Data-driven discovery of Koopman eigenfunctions for control (2017, background): “A wide range of data-driven and nonlinear control approaches exist in the literature, including model-free adaptive control [12]–[14], extremum-seeking [15]–[17], gain scheduling [18], [19], feedback linearization [20]–[22], describing functions [23], sliding mode control [24]–[26], singular perturb”