具有区间时变时滞系统的镇定

Delay-dependent stabilization of linear systems with interval time-varying delay

研究具有区间时变时滞的线性系统的镇定性问题。通过构造新的Lyapunov泛函,引入自由权矩阵和三重积分,以线性矩阵不等式形式给出了控制器的设计方案。所提方法具有较小的保守性,即有效地扩大了时滞范围允许的上届。该方法计算过程简单,结论精确,适用于工程中。数值例子说明了结果的有效性。

Delay - dependent stabilization problem for a class of linear systems with interval time - varying delay is considered. By constructing a new Lyapunov - Krasovskii function, using free - weighting matrix and triple integral approach, a controller design scheme is proposed in terms of linear matrix inequalities （LMIs）. The present method is less conservative, since the allowable upper bound of delay range is effectively enlarged. Furthermore, the present method is suitable to engineering due to its simple calculation and accurate result. Finally, an example is given to illustrate the effectiveness of results.