This paper investigates the stabilization problem for a class of hybrid systems under state constraints. Emphasis is placed on the state constraints which are converted into the state saturation problem. Due to the existence of state saturation, the flow time consists of saturated and unsaturated time. Subsequently, sufficient conditions on uniformly globally pre-asymptotic stability (UGpAS) of hybrid systems are derived. As a valuable application, the results are extended to stabilize state-constrained switched systems under average dwell-time (ADT) switching by limiting the states in a unit hypercube. By resorting to the hybrid system description, an improved stabilization approach for switched systems with ADT is developed. The controller gains of the switched system can be designed by combining the method of convex hull vector and an iterative algorithm. Numerical simulation results for switched systems are provided to illustrate the feasibility of the proposed method.

本文研究状态约束下一类混合系统的镇定问题。重点放在转换成状态饱和问题的状态约束上。由于状态饱和的存在，流动时间包括饱和时间和不饱和时间。随后，获得了关于混合系统的统一全局渐近稳定性（UGpAS）的充分条件。作为有价值的应用，通过限制单元超立方体中的状态，结果可扩展为在平均停留时间（ADT）切换下稳定状态受限的切换系统。通过诉诸于混合系统的描述，为带有ADT的交换系统开发了一种改进的稳定方法。结合凸包向量法和迭代算法，可以设计切换系统的控制器增益。提供了开关系统的数值仿真结果，以说明该方法的可行性。