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On trajectory‐dependent direct adaptive control for a class of uncertain linear discrete‐time systems
Author(s) -
Cheng ChiCheng,
Fu Simon HsuSheng
Publication year - 2009
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1081
Subject(s) - control theory (sociology) , adaptive control , trajectory , controller (irrigation) , kronecker delta , bounded function , discrete time and continuous time , class (philosophy) , computer science , lyapunov function , linear system , mathematics , mathematical optimization , control (management) , nonlinear system , artificial intelligence , mathematical analysis , statistics , physics , quantum mechanics , astronomy , agronomy , biology
In this paper, we develop a direct adaptive control framework for a class of linear discrete‐time uncertain multi‐input–multi‐output (MIMO) systems with exogenous bounded disturbances. The proposed adaptive controller guarantees adaptive stabilization, while the controller does not require the knowledge of system uncertainties. In addition, the framework is Lyapunov based with trajectory‐dependent hypothesis and the adaptive laws can be characterized by Kronecker calculus. Two numerical examples are provided to demonstrate the efficacy of the framework. Copyright © 2008 John Wiley & Sons, Ltd.