A new laboratory prototype for studying the control of multivariable, non-linear and chaotic processes is presented. The system consists of a spherical magnetic pendulum, suspended by a string and attracted or repelled by three electromagnetic actuators with variable magnetic force. The 3D position of the pendulum is measured using ultrasound sensors.
Garcia-SanzM. and FlorezJ., ‘A low-cost control experiment for systems with large time constants and unknown time delays’, Int. J. Elec. Enging. Educ., 31 (1994), 252.
2.
IsidoriA., Non Linear Control Systems: An Introduction (Springer-Verlag, Berlin, 1989).
3.
CookP. A., Non-linear Dynamical Systems (Prentice Hall, Englewood Cliffs, NJ, 1994).
4.
ThompsonJ. M. T. and StewardH. B., Non-linear Dynamics and Chaos-Geometrical Methods for Engineers and Scientists (John Wiley, Chichester, 1986).
5.
LorenzE., The Essence of Chaos (UCL Press, Berkeley, 1993).
6.
PeitgenH. O.JurgensH. and SaupeD., Chaos and Fractals. New Frontiers of Science (Springer-Verlag, Berlin, 1992).
7.
TrogerH. and SteindlA., Non-linear Stability and Bifurcation Theory — An Introduction for Engineers and Applied Scientists (Springer-Verlag, Berlin, 1991).
8.
MacIejowskyJ. M., Multivariable Feedback Design (Addison Wesley, Wokingham, 1994).
9.
SkogestadS. and PostlethwaiteI., Multivariable Feedback Control Analysis and Design (John Wiley, Chichester, 1996).
10.
AstromK. J. and WittenmarkB., Computer Controlled Systems (Prentice Hall, Englewood Cliffs, NJ, 1997).
11.
AstromK. J. and HagglundT., PID Controllers: Theory, Design and Tuning (Instrument Society of America, 1995).
