一类不确定时滞非线性系统的H∞鲁棒镇定

利用混杂状态反馈策略研究一类不确定时滞非线性系统的鲁棒H_∞镇定问题.首先,当控制器增益矩阵均已知时,利用单Lyapunov函数法和凸组合技术,给出了闭环非线性切换系统具有鲁棒H_∞性能的充分条件并设计出相应切换律.然后,当控制器增益矩阵均未知时,利用多Lyapunov函数法,设计了控制器及相应的切换策略,使闭环非线性切换系统是鲁棒H_∞渐近稳定的.

H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems

The problem of H-infinity robust stabilization for a class of uncertain time-delay nonlinear systems is investigated by using a hybrid state feedback method.First,when the gain matrices of controllers are all known,by using the single Lyapunov function method and convex combination technique,the sufficient conditions of closed-loop switched nonlinear systems with robust H-infinity performance are derived and the corresponding switching laws are designed.Then,when the gain matrices of controllers are unknown,by employing multi-Lyapunov function method,the controllers and the switching laws are designed,which guarantees that the closed-loop switched nonlinear system is robust H-infinity asymptotically stable.