研究了带有范数有界扰动的线性时滞控制系统的可达集界定问题。基于修正的Lyapunov-Krasovskii泛函,利用线性矩阵不等式方法,结合积分不等式技术给出了此类时滞控制系统可达集界定的充分条件。所设计的控制器能确保所有的状态有界,同时确定系统状态可达集的最小界定集合。最后给出了数值例子说明所提方法的有效性。
This paper is concerned with the problem of reachable set that bounds the states of time-delayed control systems with bounded peak disturbances.A delay-dependent design method is presented based on Lyapunov-Krasovskii functional combined with the integral inequality technique.The conditions are expressed in the form of linear matrix inequalities.The proposed controller guarantees that all states remain bounded,while a set as small as possible bounding the reachable set can be derived.Two examples are given to illustrate the merits and effectiveness of the present results.