A Method for the Determination of the Attainable Moment Set for Non-Linear Control Effectors
Abstract
A method for generating the attainable moment set for a class of multiple non-linear control effectors is presented. The Jacobian Rank Deficiency Criteria from Swept Volume Theory is used to determine a set of control effector positions that in turn determine a set of candidate surfaces that comprise the boundary of the attainable moment set. The first order necessary conditions are derived for a point to be on the boundary by considering a non-linear programming problem. An algorithm is given where the Kuhn-Tucker points for a given point in the pitch-roll plane are constructed for each control effector configuration that forms a candidate boundary. The Kuhn-Tucker points are then checked for feasibility, and the points on the boundary are the ones that maximize and minimize the objective function. This method is computationally efficient in spite the fact that a large set of points in is searched since the evaluation of the Kuhn-Tucker points is straight forward and less computationally intensive than those methods which require an exhaustive search over every point on each candidate surface.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 2002
- Accession Number
- ADA408535
Entities
People
- David B. Doman
- Michael A. Bolender
Organizations
- Air Force Research Laboratory