一类线性中立型摄动系统基于LMI方法的反馈镇定

Feedback Stabilization for a Class of Linear Systems with Structure Disturbances Based on LMI Method

考虑了一类滞后量未知的状态及控制输入均有摄动的中立型系统的镇定问题。基于设计无记忆状态反馈控制器,利用Lyapunov稳定性理论,在给出无摄动系统的LMI镇定条件的基础上,得到了具有结构摄动中立型系统的二次镇定性条件。并举例说明结果的有效性。

We discussed the stabilizing problem of neutral systems with structure disturbances and unknown delay. Based on the design of memoryless state feedback controller, a LMI condition is given, which remain the stability of the neutral systems without disturbances by using the Lyapunov stability theory. The stabilizing condition of the neutral systems with structure disturbances is further obtained. An example is provided to illustrate the feasibility of the result.