The problem of event-triggered control for discrete-time piecewise-affine systems subject to input saturation and bounded disturbance is investigated in this paper. An LMI-based event-triggered controller is designed to guarantee the local asymptotic stability by introducing auxiliary feedback matrices to handle input saturation. In addition, the region of attraction is well estimated. Meanwhile, by synthesising the feedback control gains and the given event-triggering condition, an optimisation problem for maximising the region of attraction is formulated in LMIs. For input-saturated piecewise-affine systems with bounded disturbance, our control objective is to reduce the influence of disturbance while reducing communication in order to guarantee that the system is uniformly ultimately bounded. The effectiveness and advantages of the proposed approaches are demonstrated by simulations.

本文研究了输入饱和和有界扰动下离散时间分段仿射系统的事件触发控制问题。基于 LMI 的事件触发控制器旨在通过引入辅助反馈矩阵来处理输入饱和来保证局部渐近稳定性。此外，可以很好地估计吸引区域。同时，通过综合反馈控制增益和给定的事件触发条件，在LMI中制定了最大化吸引区域的优化问题。对于有界扰动的输入饱和分段仿射系统，我们的控制目标是在减少通信的同时减少扰动的影响，以保证系统最终一致有界。