The design of an event-triggered controller to stabilize the continuous-time systems subject to multi-layer nested saturation is presented in this paper. As a complex nonlinearity, the nested saturation exists in a large number of systems, which may degrade the performance of the system. The sufficient condition for stabilization of the multi-layer saturated system is given by employing event-triggered control, which could reduce communication load of the system. The lower bound of the inter-event time interval is calculated to avoid the Zeno behavior. The domain of attraction for the system is estimated, which is determined by solving an optimization problem. The main advantage of the proposed approach lies in the extensive applicability for different layers of the nested saturation. In the final section, simulation and pratical examples are given to demonstrated the effectiveness of the proposed results.

本文提出了一种事件触发控制器的设计，该控制器稳定了受多层嵌套饱和影响的连续时间系统。由于复杂的非线性，嵌套饱和存在于大量系统中，这可能会降低系统的性能。通过事件触发的控制，给出了稳定多层饱和系统的充分条件，可以降低系统的通信负荷。计算事件间时间间隔的下限以避免Zeno行为。估计系统的吸引域，这是通过解决优化问题来确定的。所提出的方法的主要优点在于嵌套饱和的不同层的广泛适用性。在最后一节中