非线性中立型时滞系统的鲁棒方差约束控制

Robust Variance Control for a Class of Nonlinear Neutral Delay Systems

研究时滞系统的鲁棒方差约束控制问题.针对带有非线性扰动、不确定性参数和时滞的中立型时滞系统,设计一类反馈控制器,使通过反馈控制所得到的闭环系统不仅一致渐进稳定,而且系统各状态分量的稳态方差在给定约束范围之内.利用线性矩阵不等式的方法,得到了满足这一反馈控制器的充分条件.给出一个数值算例,验证了所提出算法的有效性.

This paper investigates the robust variance control problem of nonlinear neutral systems,taking parameter uncertainty and time-delay into account. By introducing algebraic manipulations and appropriate uncertainty descriptions,the purpose of this considered problem is to design a static state feedback controller that does not depend on the parameter uncertainty and nonlinear perturbation,so that not only is the steady-state variance of each state not more than the individual pre-specified value but the resulting closed-loop system is also asymptotically stable simultaneously. Using the linear matrix inequality approach,the existence conditions of such controllers are derived. Furthermore,a numerical example is given to illustrate the effectiveness of the proposed approach.