RESEARCH PAPER
Avoidence Strategies for Fractional Order Systems with Caputo Derivative
1
Faculty of Mechanical Engineering, Department of Mechatronics Systems and Robotics, Bialystok University of Technology, ul. Wiejska 45c, 15-351 Białystok, Poland
Submission date: 2022-11-19
Acceptance date: 2023-06-06
Online publication date: 2023-12-30
Publication date: 2023-12-01
Acta Mechanica et Automatica 2023;17(4):570-574
KEYWORDS
ABSTRACT
A control strategy is derived for fractional-order dynamic systems with Caputo derivative to guarantee collision-free trajectories for two agents. To guarantee that one agent keeps the state of the system out of a given set regardless of the other agent’s actions a Lyapunov-based approach is adopted. As a special case showing that the given approach to choosing proposed strategy is constructive for a fractional-order system with the Caputo derivative, a linear system as an example is discussed. Obtained results extend to the fractional order case the avoidance problem Leitman’s and Skowronski’s approach.
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| ISSN: | 1898-4088 |
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