This paper is concerned with the interval observer-based control for a class of nonlinear systems with unknown nonlinearities. For the purpose of effectively reducing network congestion and improving resource utilisation, an event-triggered strategy is proposed for the channel between the interval observer and the controller. The designed controller with two gains is nontrivial and adequately utilises the real-time information of both the upper bound and the lower bound of system states. By using the monotonicity theory combined with the Lyapunov stability, some sufficient conditions are developed to ensure the closed-loop system with the given event-triggering scheme is input-to-state stable with the simultaneous presence of external disturbances and unknown nonlinearities. Two controller gain matrices and an observer gain are designed via the solution of a set of matrix inequalities. Finally, a simulation example is given to illustrate the effectiveness of the proposed control scheme.

中文翻译：

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具有未知非线性的离散时间系统的事件触发控制：一种基于区间观测器的方法

本文研究了一类非线性未知的非线性系统的基于区间观测器的控制。为有效减少网络拥塞，提高资源利用率，针对间隔观察器和控制器之间的通道，提出了一种事件触发策略。设计的具有两个增益的控制器非常重要，并且充分利用了系统状态的上限和下限的实时信息。通过使用单调性理论结合李雅普诺夫稳定性，开发了一些充分条件，以确保具有给定事件触发方案的闭环系统在同时存在外部扰动和未知非线性的情况下是输入到状态稳定的。通过求解一组矩阵不等式，设计了两个控制器增益矩阵和一个观测器增益。最后，给出了一个仿真例子来说明所提出的控制方案的有效性。