Linear Quadratic Tracking with Continuous Conformable Derivatives
Document Type
Article
Publication Title
European Journal of Control
Abstract
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 quadraticcost 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.
DOI
https://doi.org/10.1016/j.ejcon.2023.100808
Publication Date
7-2023
Recommended Citation
Cuchta, Tom; Poulsen, Dylan; and Wintz, Nick, "Linear Quadratic Tracking with Continuous Conformable Derivatives" (2023). Faculty Scholarship. 470.
https://digitalcommons.lindenwood.edu/faculty-research-papers/470