The problem of adaptive global finite-time stabilization control for a class of nonlinear switched systems in the presence of external perturbations and arbitrary switchings has been addressed in this research study. The proposed scheme has been designed based on a finite-time estimation technique in which during the control procedure, unknown imposed perturbations are accurately estimated by means of the designed finite-time disturbance observer (FTDO). Due to the exact estimation of the external disturbances within a given finite time, the encountered complications and adversities from loss of information in the Lyapunov parameter estimation (LPE) methods have been solved which are caused by the persistent switchings in the system. Furthermore, a new solution for the problem of chattering phenomenon in nonlinear switched systems has been presented by utilizing the designed FTDO, which can counteract the malfunctioning responses of the system caused by external disturbances and unmodeled dynamics. In this paper, an acknowledged class of nonlinear switched systems has been taken into account which is in the general form of canonical structure. In addition, the established design strategy is formulated for the control of perturbed nonlinear switched systems with one and only input and assures that the system states through the finite-time convergence characteristic, reach the equilibrium point of origin. Finally, numerical simulations are carried out on a mass-spring-damper (MSD) dynamical system to indicate advantages and superior efficiency of the suggested method.

本研究研究了在存在外部扰动和任意切换的情况下，一类非线性切换系统的自适应全局有限时间稳定控制问题。所提出的方案是基于有限时间估计技术设计的，该技术在控制过程中，通过设计的有限时间干扰观测器（FTDO）精确估计未知的强加扰动。由于在给定的有限时间内对外部干扰进行了精确估计，因此解决了Lyapunov参数估计（LPE）方法中信息丢失带来的复杂性和逆境，这是由系统中的持续切换引起的。此外，利用所设计的FTDO，提出了一种解决非线性开关系统颤动现象的新方法，该方法可以抵消由于外部干扰和未建模的动力学引起的系统故障响应。在本文中，已经考虑了公认的一类非线性开关系统，它是规范结构的一般形式。另外，制定了既定的设计策略，用于控制只有一个输入的摄动非线性切换系统，并确保系统通过有限时间收敛特性达到平衡的原点。最后，在质量弹簧阻尼器（MSD）动力学系统上进行了数值模拟，以表明所建议方法的优点和优越的效率。