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Minimization of š 2 norm of the error signal in posicast input command shaping: a polynomial approach
Author(s) -
HurƔk Z.,
HromÄĆk M.,
Å piller M.
Publication year - 2006
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1128
Subject(s) - norm (philosophy) , polynomial , modular design , minification , mathematics , simple (philosophy) , residual , computer science , algorithm , mathematical optimization , mathematical analysis , philosophy , epistemology , political science , law , operating system
In this paper, design of a posicast input command shaper is formulated in discreteātime domain as minimization of 2 norm of the error sequence. This optimization task is solved by simple algebraic manipulation with polynomials, namely, solving twoāsided linear equations with polynomials and modular shift of a polynomial. Numerical examples are given to demonstrate properties of the optimal design in contrast with the classical Smith's design technique achieving complete cancellation of residual vibrations. Copyright Ā© 2006 John Wiley & Sons, Ltd.