AN OPTIMIZATION TECHNIQUE FOR PULSE WIDTH MODULATED SYSTEMS
Abstract
A procedure for the design of a controller to optimize a certain class of pulse-width-modulated systems is presented. The process to be controlled is time-invariant, of arbitrary order, and excited by a sequence of pulses generated from information available at arbitrary sampling instants. Input information to the system is quite general and includes random and determinist phenomena. Identification of the plant is accomplished using state variable notation and linear estimation techniques. Prediction of the future plant behavior is also performed with these techniques and the controller is designed to optimize the predicted plant performance by minimizing a measure of the future system errors. The mechanized optimal control law or controller program, develops the pulse to be applied at any sampling instant by specifying the pulse width and associated sign. The general results are applied to several examples through digital computer simulation. The optimal pulse width controller is shown to produce far better performance than normal pulse width control which utilizes present errors to develop the actuating signal to be applied at that same instant and for some time in the future. The results of considering a family of step function inputs to the system are shown for a third and fourth order plant.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0406078
Entities
People
- Robert W. Kafka
Organizations
- University of Illinois Urbana–Champaign