Sequential Gradient-Restoration Algorithm for Optimal Control Problems with Nondifferential Constraints. Part I. Theory,
Abstract
The paper considers the numerical solution of optimal control problems involving a functional subject to differential constraints, nondifferential constraints, and terminal constraints. The problem is to find the state x(t), the control u(t), and the parameter pi so that the functional is minimized, while the constraints are satisfied to a predetermined accuracy. The approach taken is a sequence of two-phase processes or cycles, composed of a gradient phase and a restoration phase. The gradient phase involves a single iteration and is designed to decrease the functional, while the constraints are satisfied to first order. The restoration phase involves one or several iterations and is designed to restore the constraints to a predetermined accuracy, while the norm of the variations of the control and the parameter is minimized. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1973
- Accession Number
- AD0772561
Entities
People
- Angelo Miele
- J. N. Damoulakis
- J. R. Cloutier
Organizations
- Rice University