Stability and chaotic behavior of a PID controlled inverted pendulum subjected to harmonic base excitations by using the normal form theory

DOI10.1016/j.amc.2014.01.102zbMath1410.70026OpenAlexW2063513525MaRDI QIDQ1646168

Javier Gil Chica, Manuel Pérez Molina, José A. Berna Galiano, Manuel F. Pérez Polo

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/37397

zbMATH Keywords

chaotic motionPID controlMelnikov's methodsimple pendulumharmonic base excitationnormal from theory

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05)

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