约束(计算机辅助设计)
反推
数学
有界函数
控制理论(社会学)
非线性系统
模糊逻辑
外稃(植物学)
国家(计算机科学)
模糊控制系统
功能(生物学)
李雅普诺夫函数
数学优化
自适应控制
控制(管理)
计算机科学
算法
人工智能
数学分析
物理
量子力学
生态学
几何学
禾本科
进化生物学
生物
作者
Fujin Jia,Junwei Lu,Yongmin Li,Fangyuan Li
标识
DOI:10.1016/j.fss.2023.108738
摘要
This paper proposes a new full-state constraints (FSCs) control scheme for stabilizing nonlinear systems with unknown functions. This scheme solves the “explosion of terms (EOT)” problem of backstepping using a lemma and introduces fuzzy control to approximate the unknown functions. This ensures that all signals are semi-globally uniformly ultimately bounded (SGUUB), and the system state converges to a neighborhood of the origin. In order to get a smaller neighborhood and higher accuracy, a new time-varying constraint function is proposed to solve the FSCs. This method can directly design the constraint functions according to actual needs, and it is easy to implement, thus avoiding the shortcomings of the barrier Lyapunov functions (BLFs) and the mapping constraint functions. And it affects the steady-state performance of the states. Therefore, the constraint functions can be constructed to make the states approach a smaller neighborhood, thus making the steady-state performance error of the states is smaller. Thirdly, the algorithm is applied to Chua's circuit system, which verifies its validity.
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