一类非线性时滞系统的鲁棒H∞几乎干扰解耦

Robust H_∞ Almost Disturbance Decoupling for a Class of Time-Delay Nonlinear Systems

研究了一类非线性时滞系统的鲁棒H∞控制问题.基于Lyapunov函数递归设计方法,构造了一种新的控制律和H∞控制器.通过技巧性地构造正定Lyapunov函数,解决了时滞问题,实现了递归设计的推广.数值例子和仿真说明了结论的正确性.

Robust H∞ control problem for a class of time-delay nonlinear systems is discussed. A recursive Lyapunovbased design approach is developed to construct a new control law and H∞ controller. By choosing ideal Lyapunov funetionals skillfully, the time-delay term of nonlinear systems is dealed with. Furthermore Baekstepping method is extended. Finally, illustrative example and simulation results verify the correctness of the conclusion.