非线性时滞不确定系统的保性能控制

叙述了一类给定线性二次性能指标函数的中立型非线性参数不确定系统的保性能控制问题．这些参数的不确定性是实时变范数有界的，并且状态时滞是一个常量．问题就在于设计一个使闭环系统渐近稳定，且对于所有允许的不确定性和时滞，闭环系统线性二次性能指标都不超过一个给定的上界的状态反馈控制律．基于线性矩阵不等式，Lyapunov方法给出了控制器存在的两个判据．最后给出了一个仿真示例说明该文方法的有效性．

Guaranteed Cost Control for Time-delay Uncertain Nonlinear Systems

In this paper, the guaranteed robust control for uncertain nonlinear systems of neutral type with delay is considered. The uncertainty is assumed to be norm - bounded and the state time - delay is a constant. The matter is to design a state feedback control law such that the closed - loop cost function value is not more than a specified upper bound for all admissible uncertainty and time delay. Two criteria for the existence of such controllers are derived based on the matrix inequality approach combined with the Lyapunov method. In the end, a numerical example is given to illustrate the proposed method.