Minimization of 𝓁 2  norm of the error signal in posicast input command shaping: a polynomial approach | Zendy

Hurák Z. | Zendy; Hromčík M. | Zendy; Špiller M. | Zendy

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Minimization of 𝓁 2 norm of the error signal in posicast input command shaping: a polynomial approach

Author(s) -

Hurák Z.,

Hromčík M.,

Špiller 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 discrete‐time domain as minimization of 2 norm of the error sequence. This optimization task is solved by simple algebraic manipulation with polynomials, namely, solving two‐sided 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 © 2006 John Wiley & Sons, Ltd.

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