Han Yaozhen, Liu Xiangjie
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.
State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, China.
ISA Trans. 2016 May;62:193-201. doi: 10.1016/j.isatra.2016.02.005. Epub 2016 Feb 23.
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.
本文针对一类不确定非线性系统，提出了一种具有时变增益的连续高阶滑模（HOSM）控制方案。所提出的控制器源自几何齐次性概念和超扭曲算法，包括两部分，第一部分实现纯积分器链的平滑有限时间镇定。第二部分克服二次可微不确定性，并通过采用超扭曲算法实现系统鲁棒性。特别地，构造时变切换控制增益，以在保持有限时间收敛特性的同时，将切换控制作用幅度减小到最小可能值。分别对受扰三阶积分器链和单机无穷大母线电力系统的励磁控制进行了仿真，以验证所提方法的有效性和适用性。
