2024/02/01 by Philipp A. Guth, Karl Kunisch, Guth, Philipp A. +3 · 2 citations
Engineering · #34F05 #49J15 #49J20 #49N10 #93B52 #93C15 #93C20 #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #FOS: Mathematics #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2402.00526
openalex publication_date 2024/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obtained by considering the minimization of an energy-like functional depending on a finite ensemble of training/sample parameters. It is computed from the nonnegative definite solution of an associated differential Riccati equation. Simulations are presented showing the tracking performance of the computed input for trained as well as untrained parameters.