Linear quadratic tracking with continuous conformable derivatives

摘要

In this paper, we formulate the Linear Quadratic Tracker (LQT) for linear, continuous conformable control systems. Here, we use the system first introduced by Khalil, et al. We obtain an affine optimal control that minimizes a quadratic cost functional associated with a completely observable system. In addition, we offer an affine optimal control for the fixed final state case expressed in terms of the current state. Finally, we provide numerical simulations for relevant applications. (c) 2023 European Control Association. Published by Elsevier Ltd. All rights reserved.