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中文摘要：
针对一类具有非线性不确定性的连续非线性系统研究了动态输出反馈H∞控制器的设计问题.所设计的控制器不仅使得闭环系统渐近稳定,而且满足H∞性能要求.提出了一种基于S-过程解决该类非线性不确定性的设计方法.基于李亚普诺夫稳定性和线性矩阵不等式技术给出了控制器存在的充分条件,并利用基于线性矩阵不等式的凸优化方法求解控制器.最后,通过一个仿真例子验证所提方法的有效性.
英文摘要：
The dynamic output feedback H∞ controller design for a class of nonlinear continuous-time systems with nonlinear uncertainties is concerned.The resulting design is such that the closed-loop system not only is asymptotically stable,but also meets the prescribed H∞ norm constraint.A new method which combines S-procedure approach to solve the nonlinear uncertainties is proposed.A sufficient condition for the existence of such a controller is obtained by using appropriate Lyapunov functional and linear matrix inequality（LMI） technique.In addition,based on this result,a convex LMI-based optimization method is developed to obtain the controller.Finally,a numerical example is provided to demonstrate the effectiveness of the proposed design.
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