To estimate validated bounds on the actual state vector of uncertain non-linear systems, cooperative output injections methods are proposed in this contribution. The aim of the output injections is to design set-membership state estimators that ensure the order-preserving property between the lower, actual and upper state trajectories. Based on a special sensors placement, continuous-time and event-triggered output injections are proposed to cope with the conservatism of the classical bounding system methods. Furthermore, based on some properties of monotone dynamical systems, the convergence of the proposed set-membership state estimators is shown. It is worth pointing out that the proposed set-membership state estimation method allows one: on one hand, to avoid the conservatism related to the use of similarity transformations usually required in the framework of interval observer design approaches, and on the other hand, to circumvent the pessimism accumulation related to the wrapping effect of set-valued iterative numerical schemes.

为了估计不确定非线性系统的实际状态向量的有效边界，本文提出了协作输出注入方法。输出注入的目的是设计集合成员状态估计器，以确保下、实际和上状态轨迹之间的顺序保持特性。基于特殊的传感器放置，连续时间和事件触发的输出注入被提出来应对经典边界系统方法的保守性。此外，基于单调动力系统的一些特性，显示了所提出的集合成员状态估计量的收敛性。值得指出的是，所提出的集合成员状态估计方法允许：一方面，