ON OPTIMAL CONTROL WITH BOUNDED STATE VARIABLES.
Abstract
This report surveys the present status of the bounded state space problem in optimal control theory. Two different methods are used to formulate the variational problem with each method providing a set of different but equivalent necessary conditions. The physical meaning of these conditions is examined along with their use in computational procedures. It is shown that the solution to the bounded state space problem requires the solution of a system of differential equations in which auxiliary conditions are specified not only at the initial and terminal points, but at each intermediate point at which the optimal trajectory enters or leaves the boundary surface. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1964
- Accession Number
- AD0607911