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A numerical tool for solving Riccati equation applied to modal optimal control of structures
Author(s) -
Barbosa F. S.,
Battista R. C.
Publication year - 2007
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.194
Subject(s) - modal , diagonal , riccati equation , algebraic riccati equation , linear quadratic regulator , simple (philosophy) , optimal control , matrix (chemical analysis) , damping matrix , control theory (sociology) , mathematics , stiffness , control (management) , diagonal matrix , mass matrix , mathematical optimization , stiffness matrix , computer science , engineering , mathematical analysis , differential equation , structural engineering , geometry , artificial intelligence , philosophy , materials science , chemistry , composite material , epistemology , nuclear physics , physics , polymer chemistry , neutrino
The active modal control problem of structures, dealt within the framework of the optimum control theory, leads to the well‐known Riccati equations. This paper presents a technique specially developed to solve Riccati equations taking advantage of the involved matrix class in modal analysis, more specifically, by storing mass, stiffness and damping matrices in diagonal form. The implementation of this technique and numerical examples are presented showing the main features of the algorithm as its simple implementation and accuracy. Comparison with a classical algorithm shows that the developed technique presents a good performance also concerning time processing. Copyright © 2007 John Wiley & Sons, Ltd.