Article
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Preserved in Portico This version is not peer-reviewed
One New Property of a Class of Linear Time-Optimal Control Problems
Version 1
: Received: 12 June 2023 / Approved: 12 June 2023 / Online: 12 June 2023 (13:26:14 CEST)
A peer-reviewed article of this Preprint also exists.
Penev, B. One New Property of a Class of Linear Time-Optimal Control Problems. Mathematics 2023, 11, 3486. Penev, B. One New Property of a Class of Linear Time-Optimal Control Problems. Mathematics 2023, 11, 3486.
Abstract
The paper deals with one new property of the linear time-optimal control problems with real eigenvalues of the system, no matter of the number of eigenvalue multiplicity. This property unveils a prospective of synthesizing the time-optimal control without the need of describing the switching hyper-surfaces. The already chrestomathy example of the time-optimal control of a double integrator is resolved by the new technique and compared with the classical synthesis.
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.
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