Multi‐input control design for a constrained bilinear biquadratic regulator with external excitation. (7th August 2019)

• Record Type: Journal Article
• Authors: Halperin, Ido; Agranovich, Grigory; Ribakov, Yuri
• Is Part Of: Optimal control applications and methods. Volume 40:Number 6(2019)
• Page Start: 1045
• Page End: 1053
• Publication Date: 2019-08-07
• Subjects: bilinear biquadratic regulator -- constrained optimization -- feedback -- Krotov's method -- optimal control -- semi‐active control; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2533
• Languages: English
• ISSNs: 0143-2087

Abstract

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.