Version 1
: Received: 18 September 2024 / Approved: 18 September 2024 / Online: 20 September 2024 (09:49:42 CEST)
How to cite:
Penev, B. A State-Space Analysis and an Optimal Control Synthesis for a Class of Linear Time-Optimal Control Problems. Preprints2024, 2024091431. https://doi.org/10.20944/preprints202409.1431.v1
Penev, B. A State-Space Analysis and an Optimal Control Synthesis for a Class of Linear Time-Optimal Control Problems. Preprints 2024, 2024091431. https://doi.org/10.20944/preprints202409.1431.v1
Penev, B. A State-Space Analysis and an Optimal Control Synthesis for a Class of Linear Time-Optimal Control Problems. Preprints2024, 2024091431. https://doi.org/10.20944/preprints202409.1431.v1
APA Style
Penev, B. (2024). A State-Space Analysis and an Optimal Control Synthesis for a Class of Linear Time-Optimal Control Problems. Preprints. https://doi.org/10.20944/preprints202409.1431.v1
Chicago/Turabian Style
Penev, B. 2024 "A State-Space Analysis and an Optimal Control Synthesis for a Class of Linear Time-Optimal Control Problems" Preprints. https://doi.org/10.20944/preprints202409.1431.v1
Abstract
The paper deals with two new properties of the linear time-optimal control problems with real non-positive eigenvalues of the system. They are the foundation of a new method of synthesizing the time-optimal control without the need to describe the switching hyper-surfaces. The so called “axes initialization” and the synthesis technique are illustrated on the already classical example of the time-optimal control of a double integrator.
Keywords
Time-optimal control; Minimum time control; Pontryagin's maximum principle; Synthesis of optimal systems; Linear systems; switching surface
Subject
Engineering, Control and Systems Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
