The global stability of two-dimensional systems for controlling angular orientation

✍ Scribed by G.A. Leonov

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 290 KB
• Volume: 64
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(00)00113-1

✦ Synopsis

A two-dimensional dynamical system with an angular coordinate, describing the operation of a two-position automatic steering device, the plane rotations of a spacecraft controlled by an angular orientation system, and a phase-lock control frequency system with a proportional-plus-integral filter is considered. An analogue of the Barbashin-Krasovskii theorem is obtained for differential inclusions with angular coordinates. This is used to prove the global stability of two-dimensional systems of angular orientation when there is no external force moment. It is shown that, when there is a constant external force moment in phase space, a region of initial conditions exists that corresponds to circular motions of a spacecraft.