Regulator design for linear parameter varying systems using dynamic inversion

A new method is presented for regulator design for linear parameter varying systems. The regulator renders the closed loop system´s steady state input-output linear time invariant (LTI) and causes the output to track a commanded trajectory. The controller consists of an inner loop and an outer loop. The primary focus of this paper is the inner loop, which uses real-time parameter information to fix the plant poles at desired locations using parameter dependent state feedback or if necessary, an observer based controller. With accurate parameter data, the inner loop effectively cancels the parameter dependent terms so that the combined plant and inner loop are LTI from the input to the output. The outer loop is designed using standard LTI H _∞ synthesis to enable the closed loop system to meet stability and performance goals. The key ideas in the paper are illustrated with a missile flight control example