SOLUTIONS TO GENERAL H{sub}∞ ALMOST DISTURBANCE DECOUPLING PROBLEM WITH MEASUREMENT FEEDBACK AND INTERNAL STABILITY FOR DISCRETE-TIME SYSTEMS

摘要

This paper constructs feedback controllers, explicitly parameterized in a single parameter e, that solve the well-known H{sub}∞ almost disturbance decoupling problem with measurement feedback and with internal stability (H{sub}∞-ADDPMS) fordiscrete-time linear systems. In particular, it explicitly constructs parameterized solutions for the following three cases: the full state feedback, the full information feedback and the general measurement output feedback. The first two cases havestatic solutions while the last one has only dynamic solutions. Both the full- and the reduced-order measurement feedback controllers are presented for the latter case. The problem considered in this paper is general and complete.