反推
控制理论(社会学)
有界函数
非线性系统
趋同(经济学)
控制器(灌溉)
时间复杂性
方案(数学)
数学
计算机科学
控制(管理)
自适应控制
数学分析
算法
量子力学
经济增长
生物
物理
人工智能
经济
农学
作者
Kang-Kang Zhang,Bin Zhou,Ming Hou,Guang‐Ren Duan
摘要
Abstract This article studies the prescribed‐time stabilization problem of p ‐normal nonlinear systems by bounded time‐varying high‐gain feedback. A time‐varying bounded controller, which can achieve prescribed‐time stabilization, is designed via backstepping. Because of the usage of time‐varying high‐gain functions which grow unbounded as the time tends to the prescribed time, the usual separation technique is invalid. To solve this problem, a novel design scheme is proposed. It is shown that all of the closed‐loop trajectories convergence to the origin in prescribed time. Finally, a numerical example verifies the effectiveness of the proposed method.
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