Premium
Robust discrete‐time output feedback model reference control design with state and unknown input estimation
Author(s) -
Chang JeangLin
Publication year - 2008
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1352
Subject(s) - control theory (sociology) , computer science , bounded function , observer (physics) , state (computer science) , controller (irrigation) , discrete time and continuous time , mimo , stability (learning theory) , full state feedback , mathematics , control (management) , algorithm , artificial intelligence , statistics , mathematical analysis , computer network , channel (broadcasting) , physics , quantum mechanics , machine learning , agronomy , biology
For MIMO discrete‐time linear systems with unknown input in which the matching condition does not hold, the use of estimation method in an output feedback controller is proposed in this paper. Provided that the variation of unknown input in the two consecutive sampling instances is not changed significantly, both the system state and unknown input can be simultaneously estimated by our proposed observer algorithm with the estimation error being constrained in a small bounded region of the order of O ( T ). Then, a method utilizing command generator tracker is designed to generate the reference model. Concurrently with the estimations of the system state and unknown input are used in the controller where it can cause the tracking error to be bounded in a small region with the guaranteed system stability. Finally, the feasibility of our algorithm can be proved to be valid through the demonstration of a simulation‐based example. Copyright © 2008 John Wiley & Sons, Ltd.