典型文献
Stabilization via Fully Actuated System Approach:A Case Study
文献摘要：
In this note,a benchmark example system which is not stabilizable by a smooth state feedback controller is considered with the fully actuated system(FAS)approach.It is shown that a smooth controller exists which drives the trajectories starting from a large domain in the initial value space to the origin exponentially.Such a result brings about a generalization of Lyapunov asymptotical stability,which is termed as global exponential sub-stability.The region of attraction is allowed to be an unbounded open set of the initial values with closure containing the origin.This sub-stability result may be viewed to be superior to some local stability results in the Lyapunov sense because the region of attraction is much larger than any finite ball containing the origin and meanwhile the feasible trajectories are always driven to the origin exponentially.Based on this sub-stabilization result,globally asymptotically stabilizing controllers for the system can be provided in two general ways,one is through combination with existing globally stabilizing controllers,and the other is by using a pre-controller to first move an initial point which is not within the region of attraction into the region of attraction.
文献关键词：
中图分类号：
作者姓名：
DUAN Guang-Ren
作者机构：
Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen 518055,China;Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China
文献出处：
引用格式：
[1]DUAN Guang-Ren-.Stabilization via Fully Actuated System Approach:A Case Study)[J].系统科学与复杂性学报（英文版）,2022(03):731-747
A类：
stabilizable,asymptotical
B类：
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AB值：
0.539406
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