2012/02/21 by Loïc Michel, Michel, Loïc
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Extremum Seeking Control Systems #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1202.4707
openalex publication_date 2012/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Consider a dynamical system u ↦ x, x = fnl(x,u) where fnl is a nonlinear (convex or nonconvex) function, or a combination of nonlinear functions that can eventually switch. We present, in this preliminary work, a generalization of the standard model-free control, that can either control the dynamical system, given an output reference trajectory, or optimize the dynamical system as a derivative-free optimization based "extremum-seeking" procedure. Multiple applications are presented and the robustness of the proposed method is studied in simulation.