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Multi‐input control design for a constrained bilinear biquadratic regulator with external excitation
Author(s) -
Halperin Ido,
Agranovich Grigory,
Ribakov Yuri
Publication year - 2019
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.2533
Subject(s) - control theory (sociology) , bilinear interpolation , sequence (biology) , trajectory , control (management) , optimal control , harmonic , regulator , mathematics , computer science , mathematical optimization , physics , statistics , quantum mechanics , astronomy , artificial intelligence , biology , genetics , biochemistry , chemistry , gene
Summary This study addresses an optimal control problem that is defined for a type of bilinear excited plant, multiple control inputs, a biquadratic finite horizon performance index, and control trajectory constraints. A novel sequence of improving functions, which suits this problem, is derived, and the corresponding Krotov's algorithm is formulated. The significance of the results is illustrated by a structural control design for a structure that is subjected to a harmonic ground acceleration input and semi‐active control constraints.