Continuous Finite-Time Output Regulation for Disturbed Systems Under Mismatching Condition

Speed tracking control for the gimbal system with harmonic drive

“…An adaptive disturbance observer approach is used to reject the current disturbances and improves the torque output precision (Mohamed, 2007). It is also reported that the mismatched disturbances therein are constrained to be H 2 norm bounded (Li, Sun et al, 2015). Yang, Chen, and Li (2011), Yang,Zolotas,and Chen (2011), and Yang, Li, and Chen (2012 proposed a new way to deal with the mismatched disturbances using only the DOBC by designing a novel disturbance compensation gain, which has been verified by simulation results and a PMSM speed regulating system application.…”

“…However, all the control approaches are focused primarily on the stability of the nonlinear systems with disturbances. The robustness and the disturbance rejection performance are generally achieved at the cost of sacrificing their nominal control performance (Li, Sun, Yang, & Yu, 2015).…”

Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super‐twisting algorithm

“…To this end, integral sliding mode control has been proposed to compensate exactly the matched uncertainties from the initial time instant. With increasing understanding of the real-world model informing model development, significant interest has been paid to the development of sliding mode control for diverse complex systems [4,5,6,7,8,9]. Among this work, T-S fuzzy systems and Markovian jump systems are two representative classes of dynamical systems.…”

Adaptive output feedback finite time control for a class of second order nonlinear systems

“…A homogeneous controller and a homogeneous observer are designed ensuring finite-time stabilization and the robustness of the resulting scheme is analysed [9]. Finite time control via output regulation for a chain of integrators subject to both matched and unmatched disturbances is presented in [10]. A finite time control methodology is developed using a finite time disturbance observer.…”