State feedback periodic event-triggered control for aero-engine distributed systems
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摘要:
为平衡航空发动机分布式控制系统中总线服务质量与控制品质之间的矛盾，提出了一种基于线性矩阵不等式理论的周期事件触发机制与保成本控制器协同设计方法。基于输入-状态稳定性（ISS）定理，构造周期事件触发控制下闭环系统渐进稳定的充分条件，并给出了控制器增益与成本函数上界的求解方法；考虑网络时延的影响，利用分段 Lyapunov 泛函，建立时延下闭环系统的稳定性判据，并对系统的时延稳定裕度进行求解和验证。仿真结果表明：在所求解的事件触发机制与控制器联合作用下，闭环系统获得了较好的控制性能。当触发参数设定值为0.4时，系统具有0.454 s的时延稳定裕度，且通信资源节省率达到了83%，有效地提升了网络的服务质量。
Abstract:A co-design strategy of periodic event-triggered mechanism and guaranteed cost controller based on linear matrix inequality theory was proposed to balance the contradiction between quality of service and quality of performance in aero-engine distributed control systems. Based on input-to-state stability (ISS) theory, a sufficient condition for the asymptotic stability of closed-loop systems under periodic event-triggered control was presented. The solution method of the controller and the upper bound of cost function were given. Considering the effect of communication delay, the stability criterion of closed-loop systems with delay was established by using piecewise Lyapunov functional method, and the delay margin of closed-loop system under periodic event-triggered control was solved and verified. Simulation results showed that the closed-loop system could achieve better control performance under the combined action of the solved event-triggered mechanism and controller. Moreover, when the trigger parameter setting value was 0.4, it could have a delay stability margin of 0.454 s, and the communication resource saving rate could reach 83%, thus effectively improving the quality of network service.
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图 1 航空发动机分布式控制系统结构图
Figure 1. Structural diagram of aero-engine distributed control system
图 5 不同触发机制下系统的响应特性
Figure 5. Response characteristics of system with different event-triggered mechanisms
表 1 不同触发机制下数据包传输特性
Table 1. Packet transmission characteristics with different event-triggered mechanisms
$\sigma $ 数据包数量 最大触发间隔/s 资源节省率/% 0 500 0.02 0 0.4 85 0.26 83 0.9 52 0.34 89.6 
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