区间时变时滞系统的鲁棒镇定控制

Robust Control for Linear Systems with Interval Time-Varying Delay

研究一类区间时变时滞系统的鲁棒镇定性问题,所研究的系统中同时含有状态时滞和控制输入时滞,并且状态时滞与控制输入时滞满足一定的不等式关系。通过引入新的算子将时变时滞系统转换成含有单时滞的线性参数可变系统(LPV),并通过构造Lya-punov泛函,以线性矩阵不等式(LMI)的形式给出了控制器的设计方案。最后通过实例仿真验证了结果的有效性和优越性。

This paper investigates the state-feedback control of linear systems with interval time-varying delays.Compared with some of other works,the proposed approach considers both time-varying state delay and control input delay;in addition,the relationship between the delays is also considered.Firstly,a new model transformation method turning the time-delay system into a LPV system is introduced;then,the stabilization conditions are given in terms of LMIs by using Lyapunov method.Finally,mathematical examples are provided to demonstrate the advantage of the result.