Suboptimal Control of Large Flexible Space Structures Experiencing Rotational Dynamics Nonlinearities.
Abstract
This report first develops a method to determine a suboptimal smooth trajectory for large flexible space structures during rotational slewing maneuvers. The method consists of minimizing the quadratic integral of the corresponding second time derivative of the generalized coordinate subject to specified boundary conditions. A parametric study examined the consequences of varying the number of design parameters and the number of specified boundary conditions. Study results include: 1) Additional degrees of freedom reduce the curvature of the trajectory, reduce the peak maneuver angle rate and only slightly increase the peak rigid-body torques on the structure during slewing maneuvers; 2) Additional boundary conditions result in smoother transitions at the end points between targeting maneuvers and increase the peak maneuver angle rate and rigid-body torgues by a larger percentage than do additional design parameters. Next, planar dynamics equations of motion for a uniform, inextensible, cantilevered beam capable of small transverse deformations and which retain the rotational (centrifugal) nonlinearities are derived via Newton's Laws, nondimensionalized and cast into a form suitable for numerical integration.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 08, 1987
- Accession Number
- ADA180606
Entities
People
- George D. Mitroka