一类不确定非线性系统的鲁棒无记忆H_∞控制器设计

Robust Memoryless H_∞ Controller Design for a Class of Uncertain Systems with Nonlinearity

文章处理了一类具有状态时滞,参数不确定性和具有有限能量干扰的非线性系统鲁棒H∞控制问题。以线性矩阵不等式的形式给出了这样一个控制器存在的充分条件。当这样的线性矩阵不等式是可解的,可以通过M atlab中的线性矩阵不等式工具箱很容易求得相应的控制器参数矩阵。最后数值例子阐述了推荐方法的可行性。

This paper deals with the problem of the robust problems for a class of nonlinear systems with state time - delays, parameter uncertainties and unknown statistics but with limited power disturbance, A sufficient condition for the existence of such feedback controller is proposed in terms of linear matrix inequalities（LMIs）. When a solution to this set of LMIs exists, the parametric matrices of a desired feedback controller can be easily obtained using LMI toolbox. Numerical examples are given to show the feasibility of our results.