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Event-triggered control of two-dimensional discrete-time systems in Fornasini-Marchesini (FM) second model

机译：Fornasini-Marchesini（FM）第二模型中的二维离散时间系统的事件触发控制

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This paper deals with the event-triggered control for two-dimensional discrete-time systems described in Fornasini-Marchesini (FM) second model. A distance-2 horizontal/vertical related event-triggering state transmission scheme was proposed, which is a non-trivial generalization of counterpart in 1D system case. Based on the 2D type event-triggering scheme, the problem of closed-loop stability with event-triggered control was addressed by deriving the corresponding LMI-based checking conditions. Furthermore, LMI-optimization based methods were presented for controller and event-generator co-design with stabilization and guaranteed cost control problems. Simulation of a numerical example was carried out to show the effectiveness of the results.
机译：本文讨论了Fornasini-Marchesini（FM）第二模型中描述的二维离散时间系统的事件触发控制。提出了一种距离2水平/垂直相关的事件触发状态传输方案，该方案是一维系统情况下对等物的非平凡归纳。基于二维事件触发方案，通过推导相应的基于LMI的检查条件，解决了事件触发控制下的闭环稳定性问题。此外，提出了基于LMI优化的方法，用于控制器和事件生成器的协同设计，具有稳定性和有保证的成本控制问题。数值例子进行了仿真，以证明结果的有效性。

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