Chaos controlling of uncertain Lorenz system using linear feedback

Xingyuan Wang · Dalian Ligong Daxue xuebao · 2005

The linear feedback control and parameters identification problem of Lorenz system are researched in the presence of unknown system parameters.An effective observer is produced to identify the unknown parameters of uncertain Lorenz system. Moreover,a linear feedback control strategy is proposed for controlling uncertain Lorenz system.By final numerical simulations,the following conclusions are drawn: the observer can identify the unknown parameters effectively,and it is robustness;the proposed controller enables the controlled Lorenz system to stabilize any desired points or periodic orbits;the time from initialization point to desired points or periodic orbits is short.

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