A New Approach to the Design of Time Varying Control Systems with Application to the Space Shuttle Booster

摘要

A general approach toward the analysis and design of closed loop control for slowly time-varying linear systems was investi-gated. The approach is by the method of generalized multiple scales, in which slow and fast dynamics are systematically separated by employing different clocks which measure time at varying rates. The clocks, which are necessarily nonlinear functions of time, so that the system dynamics are asymptotically invariant with respect to the new time scale. A transfer function relating the output to the input for general linear slowly time-varying systems is developed and represents the actual system under certain conditions. The clock functions are shown to satisfy an algebraic characteristic equation and can be determined in general in terms of the coefficients. (Author)