中文摘要：

利用输出反馈研究了一类统一混沌系统平衡点渐进稳定问题。基于李亚普诺夫稳定理论,线性矩阵不等式方法及不等式技巧,分别用两输入单输出和单输入单输出反馈设计控制器,解决了状态不可测情况下统一混沌系统的控制问题。即使得混沌系统的状态渐进趋于给定的任一平衡点。与现有文献结果相比,所设计的控制器,反馈增益小,结构简单,保守性小。最后以Lorenz系统为例作了仿真,仿真结果表明了该控制器的有效性。

英文摘要：

In this paper, based on the Lyapunov theory, linear matrix inequality technique and inequality method, the control of an unified chaotic system is investigated by using output feedback controllers, and two - input single - output feedback controller and single - input single - output feedback controller are used to control the unified chaotic systems when the states are not all measurable. That is to say, the states of chaotic system can asymptoticly reach the expected equilibrium. Compared with the existing results, the controllers designed in this paper have some advantages such as smaller feedback gain, simple structure and less conservation. Finally, numerical simulations results are provided to demonstrate the validity and effectiveness of the proposed method.