MINIMUM PEAK AMPLITUDE CONTROL,
Abstract
This report considers a class of optimal control problems in which the input signal to a given system is to be chosen so as to cause the output of the system to satisfy specified conditions and so that the peak value of the input over the operating interval is a minimum. For cases in which the given system is linear, a theorem guaranteeing the existence of an optimal input and a theorem giving the form of this optimal input are presented, as well as computational algorithms for obtaining numerical values of optimal inputs. Two approaches to minimum peak amplitude problems in which the given system in nonlinear are presented: the first makes use of a certain time-optimal problem, and the second involves a limiting process using an L sub p-space norm in place of the originally-specified cost functional. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1965
- Accession Number
- AD0616608
Entities
People
- Frederick Marshall Waltz
Organizations
- University of Michigan