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中文摘要：
研究了一类具有非线性输入的不确定混沌系统的跟踪控制问题。首先在系统状态已知，系统的非线性项及干扰项的界已知的情况下设计了理想滑模控制器，然后在系统只有一个状态可测，非线性项及干扰项的界未知的情况下，利用扩张观测器观测出系统的未知信息再设计控制器，从而实现了混沌系统的跟踪控制。最后对Duffing系统进行数值仿真，结果表明该控制方案是有效的。
英文摘要：
The tracking problem for a class of uncertain chaotic systems with input nonlinearity is considered. Firstly, a sliding mode controller is presented when all the states and the bounds of the uncertainty are known. Secondly, by assuming that the bounds of the uncertainty are not known and only one state is available for feedback, a extended state observer is used to estimate the unknown information. With the information, a sliding mode controller can be presented to control the chaotic systems. Finally, Numerical simulations are carried out to show the effectiveness of the design based on Duffing oscillator.
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