DESIGN FOR H-INFINITY ALMOST DISTURBANCE DECOUPLING PROBLEM WITH INTERNAL STABILITY VIA STATE OR MEASUREMENT FEEDBACK - SINGULAR PERTURBATION APPROACH

An almost disturbance decoupling technique guaranteeing internal stabi lity of a linear system while using either state feedback or only meas urement feedback is considered. Under a set of necessary and sufficien t conditions, a state feedback controller is explicitly constructed. S imilarly, a full or reduced order observer-based measurement feedback controller is explicitly constructed under a set of necessary and suff icient conditions. All the developed controllers guarantee the asympto tic stability of the closed-loop system in the absence of disturbances . Furthermore, they can reduce H infinity norm of the transfer functio n from the external disturbance to the controlled output to any arbitr arily specified value. Unlike other methods which merely give the solv ability conditions, our method explictly constructs them. Also our con trollers are parametrized in terms of tuning parameters, by the tuning of which the disturbance reflected in the output can be attenuated to any desired degree of accuracy.