In this paper, a sufficient condition under event-triggered control is proposed to stabilize the continuous-time system subject to asymmetric saturation. As a complex nonlinearity, the asymmetric saturation exists in a large number of practical systems, which may degrade the performance of the system. An improved triggering condition is designed considering the asymmetric saturation nonlinearity and the lower bound of the inter-event time interval is calculated to avoid Zeno behavior. The contractive invariant set is estimated as the stable region of the system, which is determined by solving an optimization problem using linear matrix inequality (LMI) conditions. In the final section of the paper, simulation examples are provided to verify the theoretical results.

本文提出了一个事件触发控制下的充分条件，以稳定具有非对称饱和度的连续时间系统。由于复杂的非线性，大量实际系统中存在不对称饱和，这可能会降低系统的性能。考虑到非对称饱和非线性，设计了一种改进的触发条件，并计算了事件间时间间隔的下限以避免Zeno行为。收缩不变集被估计为系统的稳定区域，这是通过使用线性矩阵不等式（LMI）条件解决优化问题来确定的。在本文的最后部分，提供了仿真示例以验证理论结果。