A para-model agent for dynamical systems

• DOI: 10.48550/arxiv.1202.4707
• Publication Date: 2012-01-01
• Authors: Loïc Michel
• Keywords: Robustness; Nonlinear dynamical systems; Dynamical system (definition)

Consider a dynamical system $u \mapsto x, \dot{x} = f_{nl}(x,u)$ where $f_{nl}$ is nonlinear (convex or nonconvex) function, combination of functions that can eventually switch. We present, in this preliminary work, generalization the standard model-free control, either control system, given an output reference trajectory, optimize as derivative-free optimization based "extremum-seeking" procedure. Multiple applications are presented and robustness proposed method studied simulation.