一类非线性不确定时滞系统鲁棒H^∞控制

Robust H∞ Control for Linear Time-delay Systems with Norm-bounded Nonlinear Uncertainties

该文研究一类状态和控制输入中含有界实非线性不确定时滞系统的二次镇定和H∞ 控制问题。结果表明 ,可以将此类不确定系统H∞ 控制求解问题转化为相应的具有界实不确定线性时滞系统进行求解 ,推导了通过求解参数Riccati矩阵方程正定解来设计二次镇定和具有H∞ 性能控制器的方法 ,求得了期望控制器存在的充分条件 ,并给出了控制器的表达式。

This paper studies the robust control of a class of uncertain time delay system with linear nominal parts and norm bounded nonlinear uncertainties in the state equation. The results show that the above problem can be converted to a robust control for a related time delay system with norm bounded linear uncertainty and thus a linear memoryless state feedback control law is designed by solving an algebraic Riccati equation, the state feedback control law can ensure above systems quadratically stabilizable with an H ∞ norm bound.