Modifications and Extensions of the Sequential Gradient-Restoration Algorithm for Optimal Control Theory,
Abstract
In a previous paper, the sequential gradient-restoration algorithm for minimizing a functional subject to certain differential equations and boundary conditions was developed. This algorithm, here called Algorithm (alpha), includes the alternate succession of gradient phases and restoration phases. In the gradient phase, the first-order change of the functional is minimized subject to the linearized differential equations, the linearized boundary conditions, and a quadratic constraint on the variations of the control and the parameter. In the restoration phase, the differential equations and the boundary conditions are restored to a predetermined degree of accuracy, subject to the least-square change of the control and the parameter. In the report, several modifications and extensions of algorithm (alpha) are studied. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0717748
Entities
People
- Angelo Miele
- John N. Damoulakis
Organizations
- Rice University