基于事件触发的奇异semi-Markov跳变系统的有限时间控制

Finite-time Control for Singular Semi-Markov Jump Systems Based on Event-triggered Scheme

为减少不必要的网络资源传输,解决实际复杂系统的有限时间问题,提出一种基于事件触发方案的奇异semi-Markov跳变系统的有限时间控制器设计方法。在事件触发方案下,用系统的时滞表示网络诱导时延,闭环系统可以建模为一个时滞系统。首先,通过构造合适的Lyapunov-Krasovskii泛函,以严格矩阵不等式的形式给出充分条件,以使事件触发方案下的闭环系统正则、无脉冲、随机有限时间有界;然后,通过求解矩阵不等式,得到状态反馈控制器的参数;最后,给出一个数值示例,通过仿真证明所提方法的有效性。

To reduce unnecessary network resource transmission and solve the finite-time problem of practical systems,a finite-time controller is designed for singular semi-Markov jump systems under the event-triggered scheme.Based on the event-triggered scheme,the closed-loop system is modeled as a time-delay system where the time delay denotes the network induced delay.By constructing a suitable semi-positive definite Lyapunov-Krasovskii functional,some sufficient conditions are established in terms of strict matrix inequalities to guarantee that the closed-loop event-triggered system is regular,impulse free and stochastically finite-time bounded.Moreover,the state feedback controller can be gained by solving a set of strict matrix inequalities.Finally,a numerical example is provided to illustrate the effectiveness of the proposed methods.