An algebraic approach to the design of robust limit cycle controllers

Author

Oliveira, N.M.F. ; Kienitz, K.H. ; Misawa, E.A.

Author_Institution

Univ. Cruzeiro do Sul, Sao Paulo, Brazil

Volume

3

fYear

2003

fDate

4-6 June 2003

Firstpage

2419

Abstract

The design of robust limit cycle controllers introduced here can be used for autonomous systems with separable single-input-single-output nonlinearities and unavoidable limit cycles. The objective is to design a controller to secure specified oscillation amplitude and frequency. The method consists of quasi-linearization of the nonlinear element via a describing function (DF) approach and then shaping the loop to reach desired limit cycle characteristics. As the DF method is used, loop shaping takes place in the Nyquist plot.

Keywords

Nyquist diagrams; controllers; describing functions; limit cycles; linearisation techniques; network synthesis; nonlinear control systems; robust control; Nyquist plot; algebraic approach; autonomous systems; describing function; limit cycles; loop shaping; nonlinear element; quasi-linearization; robust control; single input single output nonlinearities; transfer function; Control systems; Frequency; Geometry; Limit-cycles; Nonlinear control systems; Nonlinear systems; Robust control; Shape control; Transfer functions; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1243437

Filename

1243437