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An adaptive tracking problem for a family of retarded time‐delay plants
Author(s) -
Momeni Ahmadreza,
Aghdam Amir G.
Publication year - 2007
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.962
Subject(s) - control theory (sociology) , lti system theory , controller (irrigation) , tracking (education) , observable , computer science , adaptive control , control (management) , linear system , upper and lower bounds , mathematics , artificial intelligence , psychology , mathematical analysis , agronomy , pedagogy , physics , quantum mechanics , biology
Most of the existing switching control techniques are developed specifically for finite‐dimensional linear time‐invariant (LTI) systems. In many practical applications, however, it is essential to take time delay into consideration in the modelling as the control system can be highly sensitive to delay. In this paper, a multi‐model switching control algorithm is proposed for retarded time‐delay systems. It is assumed that the plant is represented by a family of known multi‐input multi‐output, observable, LTI models with multiple delays in the states, and that corresponding to each model in the known family, there exists a high‐performance finite‐dimensional LTI controller. In addition, it is supposed that a bound on the magnitude of the external inputs and disturbances is available. It is then shown that the proposed switching controller can stabilize the uncertain system, and that under some mild conditions, output tracking can be achieved in the given problemsetting. Copyright © 2007 John Wiley & Sons, Ltd.