title: Continuous higher-order sliding mode control with time-varying gain for a class of uncertain nonlinear systems.
abstract: This paper presents a continuous higher-order sliding mode (HOSM) control scheme with time-varying gain for a class of uncertain nonlinear systems. The proposed controller is derived from the concept of geometric homogeneity and super-twisting algorithm, and includes two parts, the first part of which achieves smooth finite time stabilization of pure integrator chains. The second part conquers the twice differentiable uncertainty and realizes system robustness by employing super-twisting algorithm. Particularly, time-varying switching control gain is constructed to reduce the switching control action magnitude to the minimum possible value while keeping the property of finite time convergence. Examples concerning the perturbed triple integrator chains and excitation control for single-machine infinite bus power system are simulated respectively to demonstrate the effectiveness and applicability of the proposed approach.
authors.affiliation: State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, China; School of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan, China. Electronic address: hyz125@163.com.
authors.forename: Yaozhen
authors.initials: Y
authors.lastname: Han
authors.affiliation: State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, China. Electronic address: liuxj@ncepu.edu.cn.
authors.forename: Xiangjie
authors.initials: X
authors.lastname: Liu
keywords: Chattering reduction; Continuous sliding mode; Excitation control; Super-twisting; Time-varying gain