MINIMUM-TIME CONTROL OF A LINEAR COMBINATION OF STATE VARIABLES,
Abstract
This study is concerned with the general problem of minimum-time control of a linear combination of state variables of dynamical systems. The specific problem of interest, which may be cast in the form of the general problem, is that of controlling linear, time-invariant, one-input, one-output systems with zeros of transmission at some (possibly complex) frequencies. The available control effort is magnitude limited, and there are no disturbances. Only the problem of eliminating initial conditions is considered. A detailed analysis of second- and third-order systems is made. The basic mathematical tool used in finding the solution for the general problem is that of Pontryagin's Maximum Principle. Approximate solutions are obtained for both secondand third-order problems in general. The method of approximation utilized is that of a powerseries truncation. These approximations are applicable for a large class of problems with ''small'' errors, where smallness is measureed in terms of the size of the controlling function. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1963
- Accession Number
- AD0421525
Entities
People
- C. E. Hutchinson
Organizations
- Stanford University