TIME-OPTICAL VELOCITY CONTROL OF A SPINNING SPACE BODY
Abstract
The controlled system is a body in space with a single axis of symmetry. Gas jets, with a limited thrust, are used as the controls. It is desired to determine the controls which maintain a given velocity about the axis of symmetry and which drive the velocities about the other two axes to zero in minimum time. The Maximum Principle is used to derive the necessary conditions on the controls, which are of the 'bangbang' type. Four switching curves are derived which divide the velocity plane into four regions. Given any value for the velocities, unique values of the two controls which drive the two velocities to zero in minimum time are determined. A comparison between two-axis control and single-axis control (using gyroscopic coupling) indicates that the two-axis control is superior in time response. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 06, 1962
- Accession Number
- AD0284207
Entities
People
- Michael Athanassiades
- Peter L. Falb
Organizations
- Massachusetts Institute of Technology