Analysis and optimal control of time-varying linear systems via block-pulse functions

Abstract

Succinct and clear-sighted operational properties of block-pulse functions are fully applied to the analysis and optimal control of time-varying linear systems with quadratic performance index. Piecewise constant solutions equally distributed, which are simple in form and convenient for use or implementation, are consequently obtained. Another advantage of this method is that any positive integer can be chosen as the number of sub-intervals, whereas in the case of Walsh function approximation the choice can only be made from 2, 4, 8, 16, 32, and so on. The algorithms developed in the paper are illustrated by appropriate examples.