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Structural and robust optimality of discrete‐time optimal regulators
Author(s) -
Mirza Kais Baker,
Basha Akiel E.
Publication year - 1990
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/oca.4660110106
Subject(s) - weighting , optimal control , discrete time and continuous time , transfer function , control theory (sociology) , mathematics , function (biology) , quadratic equation , matrix (chemical analysis) , mathematical optimization , control (management) , computer science , engineering , statistics , medicine , materials science , geometry , artificial intelligence , evolutionary biology , biology , electrical engineering , composite material , radiology
The following problem is discussed: given an optimal control law for a linear, discrete‐time, single‐input system with respect to some quadratic cost, determine the necessary and sufficient condition whereby this control law remains optimal in the presence of small plant parameter variations. This condition is derived and expressed in terms of the loop transfer function of the optimal system, its Nyquist plot and the transfer function from the input to the controlled variables associated with the weighting matrix.