Abstract An event-triggered H ∞ controller is designed for an active seat suspension in this paper, where the continuous event-trigger scheme is applied to transfer the dynamic system states to the controller only at event-triggered time instants. Delay-dependent stability criteria in the form of linear matrix inequality (LMI) are presented to guarantee the asymptotic stability of the seat suspension system. One Lyapunov function is chosen where some matrices are introduced with relaxed conditions. Two tight inequalities are applied to prove the positive definiteness of the Lyapunov function and stability of the system, which reduces the conservatism of the system for the time delay to the controller. The proposed control method can reduce the workload of data transmission of the seat suspension system and work as a filter to remove the effect of noise, so it can decrease the precision requirement of the actuator, which can help to reduce the cost of the seat suspension. Both simulation and experimental results are presented to show the effectiveness of the proposed control method.

中文翻译：

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基于松弛条件的主动座椅悬架系统的事件触发 H∞ 控制以确保稳定性

摘要 本文针对主动式座椅悬架设计了一种事件触发的H ∞ 控制器，其中应用连续事件触发方案仅在事件触发的时刻将动态系统状态传递给控制器​​。提出了线性矩阵不等式 (LMI) 形式的延迟相关稳定性标准，以保证座椅悬挂系统的渐近稳定性。选择了一个 Lyapunov 函数，其中一些矩阵是在松弛条件下引入的。应用两个紧不等式证明了Lyapunov函数的正定性和系统的稳定性，降低了系统对控制器时延的保守性。所提出的控制方法可以减少座椅悬挂系统数据传输的工作量，起到过滤器的作用，去除噪声的影响，从而降低对执行器的精度要求，有助于降低座椅悬挂系统的成本。 . 仿真和实验结果都显示了所提出的控制方法的有效性。