The paper centers on the $H_{\infty }$ finite-time (FT) composite anti-disturbance switching control (ADSC) issue for switched systems (SSs) suffered from multiple disturbances, the unavailable modeled disturbance and the available un-modeled disturbance. The aim is to arrive at the multiple disturbance suppression in FT. A switching estimator is firstly constructed to observe the modeled disturbance combined with the unavailable system state. A switching controller and a switching law are then co-established to restrain the multiple disturbances in the SSs. A condition is attained to ensure that the $H_{\infty }$ FT composite ADSC issue for the SSs is solvable, even the issue is not solvable for subsystems. A verification example is served to text the reasonability of the developed theory.

该论文集中在 $H_{\infty }$切换系统 (SS) 的有限时间 (FT) 复合抗扰动切换控制 (ADSC) 问题受到多重扰动、不可用的建模扰动和可用的未建模扰动。目的是达到FT中的多重干扰抑制。首先构造切换估计器来观察结合不可用系统状态的建模扰动。然后共同建立切换控制器和切换律以抑制SS中的多重干扰。达到一个条件，以确保$H_{\infty }$SS 的 FT 复合 ADSC 问题是可以解决的，即使是子系统的问题也是不可解决的。提供了一个验证示例来说明所开发理论的合理性。