Title

Singular Controls In Time-Optimal Rigid Body Reorientation Revisited

Abstract

The possibility of encountering singular control arcs in the time optimal rest-to-rest reorientation of a rigid body with arbitrary moments of inertia and three-axis control is investigated. P011- tryagin’s principal dictates that the controls are “bang-bang” except on a singular arc, where the applicable switching functions and their derivatives are zero for a finite time. The switching functions and their derivatives are developed and the necessary conditions for singular arcs are determined. Three conditions are considered: One, two or three controls singular. The possibility of singular conditions existing at the initial or final time, or during an internal time interval between control switches are considered. In every case, it is shown that the rest-to-rest boundary conditions preclude singular time optimal controls and that internal singular arcs are non-optimal.

Publication Date

1-1-1995

Publication Title

1995 Guidance, Navigation, and Control Conference

Number of Pages

864-870

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.2514/6.1995-3267

Socpus ID

84959148833 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84959148833

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