Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
An approach for introduction of transverse coordinates in a vicinity of a periodic trajectory is presented. The approach allows finding by numerical integration periodic normalized mutually-orthogonal vector-functions that form a continuously differentiable basis on moving Poincaré sections for a given periodic solution of a nonlinear dynamical system.The found moving frame is used to define new local (transverse) coordinates for an associated affine nonlinear control system in a neighborhood of the trajectory, and to proceed with orbital stability analysis and/or synthesis of a stabilizing feedback control law.As a demonstrating example of the approach, the problem of orbital stabilization of a trajectory of a multibody car system is considered. The results of computer simulations of the system are presented.
Original language | English |
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Title of host publication | 2020 American Control Conference, ACC 2020 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 836-841 |
Number of pages | 6 |
ISBN (Electronic) | 9781538682661 |
DOIs | |
State | Published - Jul 2020 |
Event | 2020 American Control Conference, ACC 2020 - Denver, United States Duration: 1 Jul 2020 → 3 Jul 2020 |
Name | Proceedings of the American Control Conference |
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Volume | 2020-July |
ISSN (Print) | 0743-1619 |
Conference | 2020 American Control Conference, ACC 2020 |
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Country/Territory | United States |
City | Denver |
Period | 1/07/20 → 3/07/20 |
ID: 71718188