The present study provides a generalization of event-based control to the field of fractional calculus, combining the benefits brought by the two approaches into an industrial-suitable control strategy. During recent years, control applications based on fractional order differintegral operators have gained more popularity due to their proven superior performance when compared to classical, integer order, control strategies. However, the current industrial setting is not yet prepared to fully adapt to complex fractional order control implementations that require hefty computational resources; needing highly-efficient methods with minimum control effort. The solution to this particular problem lies in combining benefits of event-based control such as resource optimization and bandwidth allocation with the superior performance of fractional order control. Theoretical and implementation aspects are developed in order to provide a generalization of event-based control into the fractional calculus field. Different numerical examples validate the proposed methodology, providing a useful tool, especially for industrial applications where the event-based control is most needed. Several event-based fractional order implementation possibilities are explored, the final result being an event-based fractional order control methodology.

本研究对分数演算领域提供了基于事件的控制的一般化，将两种方法带来的好处结合到了适合工业的控制策略中。近年来，基于分数阶微分积分算子的控制应用由于与经典的整数阶控制策略相比表现出优异的性能而受到越来越多的欢迎。然而，当前的工业环境尚未准备好完全适应需要大量计算资源的复杂分数阶控制实现。需要使用最少的控制工作量的高效方法。解决此特定问题的方法在于将基于事件的控制（例如资源优化和带宽分配）的优点与分数阶控制的卓越性能相结合。为了提供基于事件的控制到分数演算领域的一般化，开发了理论和实现方面。不同的数值示例验证了所提出的方法，提供了一种有用的工具，尤其是对于最需要基于事件的控制的工业应用。探索了几种基于事件的分数阶实现方法，最终结果是基于事件的分数阶控制方法。不同的数值示例验证了所提出的方法，从而提供了有用的工具，尤其是对于最需要基于事件的控制的工业应用。探索了几种基于事件的分数阶实现方法，最终结果是基于事件的分数阶控制方法。不同的数值示例验证了所提出的方法，从而提供了有用的工具，尤其是对于最需要基于事件的控制的工业应用。探索了几种基于事件的分数阶实现方法，最终结果是基于事件的分数阶控制方法。