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APPROXIMATE OUTPUT FEEDBACK OPTIMAL CONTROL OF HIGHER‐ORDER DYNAMICAL SYSTEMS
Author(s) -
GOH C. J.,
EDWARDS N. J.
Publication year - 1997
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199703/04)18:2<123::aid-oca595>3.0.co;2-8
Subject(s) - control theory (sociology) , controller (irrigation) , optimal control , function (biology) , dynamical systems theory , order (exchange) , computer science , output feedback , dynamical system (definition) , relation (database) , linear system , feedback control , linear dynamical system , control (management) , mathematics , mathematical optimization , control engineering , engineering , mathematical analysis , physics , finance , quantum mechanics , database , artificial intelligence , evolutionary biology , agronomy , economics , biology
We present a design methodology for the synthesis of a dynamic controller which minimizes an arbitrary performance index for a non‐linear discrete‐time system. We assume that only the output of the dynamical system is available for feedback. Consequently, the system input–output relation needs to be represented as a higher‐order non‐linear difference equation. We show how the optimal control of a higher‐order system can be transformed into that of the conventional first‐order system and propose a method for constructing the optimal output feedback dynamic controller using modern function approximation techniques. Illustrative examples are presented to demonstrate the effectiveness of the method. © 1997 John Wiley & Sons, Ltd.