This paper considers the event-triggered sliding mode control problem of uncertain active vehicle suspension systems. A more comprehensive polytope approach is employed to model the uncertainties which generally exist in the sprung and unsprung masses. Moreover, the corresponding mathematical model is constructed for the quarter-vehicle active suspension system. Meanwhile, the event-triggered transmission mechanism is taken into account to schedule communication and save bandwidth. The main purpose of this paper is to develop a proper sliding mode controller which can guarantee the asymptotic stability and \(\mathcal {H}_{\infty }\) performance for the suspension system with some constraints. By means of convex optimization technique, some sufficient conditions are derived to assure the constructed event-triggered sliding mode control law can not only ensure the corresponding sliding mode dynamics are asymptotically stable but also the predefined switching surface is reachable. Finally, the feasibility of the designed method is verified by a simulation example.

本文考虑了不确定的主动车辆悬架系统的事件触发滑模控制问题。采用了更全面的多表位方法来模拟在簧上和簧下质量中普遍存在的不确定性。此外，针对四分之一车辆主动悬架系统构建了相应的数学模型。同时，考虑了事件触发的传输机制以调度通信并节省带宽。本文的主要目的是开发一种合适的滑模控制器，该控制器可以保证渐近稳定性和\（\ mathcal {H} _ {\ infty} \）悬挂系统的性能受到一些限制。通过凸优化技术，导出了一些充分的条件，以确保构造的事件触发的滑模控制律不仅可以确保相应的滑模动力学渐近稳定，而且可以达到预定的切换面。最后，通过仿真实例验证了所设计方法的可行性。