Modelling, simulation and experiment with double pendulum chaotic toy

Author

Andrievskii, B.R. ; Fradkov, A.L. ; Konoplev, V.A. ; Konjukhov, A.P.

Author_Institution

Inst. of Problems of Mech. Eng. Russian Ac. Sc, St. Petersburg, Russia

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

3452

Lastpage

3457

Abstract

In the article a problem of mathematical models construction for oscillatory mechanical systems (OMS) with complex (chaotic) dynamics is considered. The mathematical model of system is constructed with application of the aggregative method. The device for OMS control with use of the computer is described. Verification of the obtained model on the basis of laboratory experiments results is made. Pulse-number algorithm of OMS control is proposed and checked with use of laboratory set-up. State estimation recursive algorithm is proposed.

Keywords

control engineering computing; large-scale systems; mechanical variables control; nonlinear control systems; pendulums; state estimation; OMS control; chaotic dynamics; complex dynamics; double pendulum chaotic toy; laboratory set-up; oscillatory mechanical system; pulse-number algorithm; state estimation; state estimation recursive algorithm; Mathematical model; Mechanical systems; Observers; Oscillators; Time measurement; control; identification; oscillations; state estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099863