Robust synchronization of a chaotic mechanical system with nonlinearities in control inputs
- 329 Downloads
Centrifugal flywheel governors are known as chaotic non-autonomous mechanical devices used for automatic control of the speed of engines. The main characteristic of them is avoiding the damage caused by sudden change of the load torques. In this paper, the problem of robust finite-time synchronization of centrifugal flywheel governor systems is studied. The effects of unknown parameters, model uncertainties, external noises, and input nonlinearities are fully taken into account. We propose some adaptive laws to overcome the side effects of the unknown parameters of the system on the synchronization performance. Then, a robust adaptive switching controller is introduced to synchronize centrifugal flywheel governors with nonlinear control inputs in a given finite time. The finite-time fast convergence property of the proposed scheme is analytically proved and numerically illustrated.
KeywordsFinite-time synchronization Non-autonomous centrifugal governor Adaptive law Unknown parameter Input nonlinearity
- 36.Curran, P.F., Chua, L.O.: Absolute stability theory and the synchronization problem. Int. J. Bifurc. Chaos 7, 1357–1382 (1997) Google Scholar