This paper investigates $H_{\mathrm{\infty }}$ event-triggered model predictive control (MPC) problem for switched systems. In network transmission processes, two problems (including limited resources and denial of service (DoS) attacks) profoundly affect the usability of control systems. Especially, DoS attacks that occur in feedback channel can make the systems open-loop. In this regard, a novel memory-based anti-attack strategy is presented, which is implemented by adding a cache function to network controllers. An event-triggering mechanism is adopted to improve network resource utilisation and reduce the probability of transmission data being attacked. MPC technology is employed for network controllers, which optimises the control input and state by minimising an upper bound of a quadratic cost function. Then, closed-loop switched system is established, and the coupling relationship between switching and attacking is clearly discussed. Based on average dwell time approach, $H_{\mathrm{\infty }}$ performance is analysed. The co-design of MPC controllers and event-triggering matrices are given by solving linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility.

本文调查 $H_{\mathrm{\infty }}$切换系统的事件触发模型预测控制 (MPC) 问题。在网络传输过程中，有两个问题（包括资源有限和拒绝服务（DoS）攻击）深刻影响控制系统的可用性。特别是在反馈通道中发生的 DoS 攻击可以使系统开环。在这方面，提出了一种新颖的基于内存的抗攻击策略，该策略通过向网络控制器添加缓存功能来实现。采用事件触发机制，提高网络资源利用率，降低传输数据被攻击的概率。MPC 技术用于网络控制器，通过最小化二次成本函数的上限来优化控制输入和状态。然后，建立闭环切换系统，并且明确讨论了切换和攻击之间的耦合关系。基于平均停留时间方法，$H_{\mathrm{\infty }}$性能进行分析。MPC 控制器和事件触发矩阵的协同设计通过求解线性矩阵不等式 (LMI) 给出。最后，给出了一个数值例子来证明其可行性。