OPTIMAL TIME CONTROL OF SOME PULSE-WIDTH-MODULATED SAMPLED-DATA SYSTEMS
Abstract
The minimal time control problem for some pulsewidth-modulated-sampled-data (PWM) systems with second order plants is treated. Both linear and non-linear plants are considered; all having one thing in common: the optimal switching locus (OST) for a continuous relay system with the same plants is a monotonic curve in the phase plane. First it is shown how, by a reverse time mapping, it is possible to associate systematically with each initial state a finite canonical sequence which specifies the optimal PWM control over the entire transient process during which the state is taken to the origin. Then it is shown how, given an arbitrary initial state its associated canonical sequence can be constructed on the basis of the observed value of the state. A brief description of an electromechanical computer capable of implementing minimal time control for some of the systems considered is also given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 22, 1961
- Accession Number
- AD0271966
Entities
People
- E. Polak
Organizations
- University of California, Berkeley