具输入时滞的非线性不确定时滞系统的鲁棒非脆弱H_∞控制

Robust Non-fragile H∞Control for Nonlinear Uncertain Time Delay System with Input Delay

针对一类具有输入时滞的非线性不确定时滞系统,研究其鲁棒非脆弱H∞控制器设计问题.在非线性不确定函数满足增益有界的条件下,利用系统过去的状态设计积分控制器.在该控制器作用下,不仅使得闭环系统渐近稳定,同时也使得从扰动到受控输出之间的传递函数的H∞范数不大于给定的指标,且所给判据是时滞相关的.最后通过一数值算例验证该控制器设计方法的有效性.

The problem of designing robust non-fragile H∞ controller was studied for nonlinear uncertain time delay system with input delay. The integral controller was designed by the past states in the nonlinear uncertain system satisfying the gain bounded. It not only makes the closed-loop system asymptotically stable, but also makes H∞ no,in not greater than a given index from the perturbation to the controlled output transfer function. And the criterion is the delay dependent. Finally, a numerical example shows the validity of the proposed method.