This paper considers the problem of guaranteed cost and finite-time event-triggered control of fractional-order switched systems. Firstly, an event-triggered scheme including both the information of current state and an exponential decay function is proposed, and a novel cost function that adopts the characteristics of fractional-order integration is presented. Secondly, some sufficient conditions are derived to guarantee that the corresponding closed-loop system is finite-time stable with a certain cost upper bound, using multiple Lyapunov functions and average dwell time approach. Meanwhile, the event-triggered parameters and state feedback gains are simultaneously obtained via solving linear matrix inequalities. Moreover, Zeno behavior does not exist by finding a positive lower bound of the triggered interval. Finally, an example about fractional-order switched electrical circuit is provided to show the effectiveness of the proposed method.

本文考虑了分数阶切换系统的保证成本和有限时间事件触发控制问题。首先，提出了一种既包含当前状态信息又包含指数衰减函数的事件触发方案，并提出了一种具有分数阶积分特性的新型代价函数。其次，使用多个李雅普诺夫函数和平均停留时间方法，推导了一些充分的条件，以保证相应的闭环系统具有一定的成本上限，是有限时间稳定的。同时，通过求解线性矩阵不等式，可以同时获得事件触发的参数和状态反馈增益。此外，通过找到触发间隔的正下限不存在芝诺行为。最后，