对于具有输出约束的不确定的非线性系统而言,一种新的适应性指定时间控制及其在机电系统中的应用
Jiao-Jiao Li1, Zong-Yao Sun1, Zhuo Wang2
1Institute of Automation, Qufu Normal University, Qufu, Shandong 273165, PR China.
ISA transactions
|October 19, 2025
概括
本研究为具有输出约束的不确定非线性系统提出了适应性控制策略,确保在指定的时间内稳定. 该方法避免了控制奇点,并有效地估计了未知的参数.
科学领域:
- 控制理论 控制理论
- 非线性系统是非线性系统.
- 适应性控制控制是适应性的
背景情况:
- 解决稳定不确定的非线性系统在时间变化的不对称输出约束下面的挑战.
- 现有的规定时间稳定方法可能面临奇点和参数估计的局限性.
研究的目的:
- 为具有输出约束的不确定非线性系统开发适应性指定时间稳定策略.
- 在指定的时间解决与无限控制收益相关的奇点.
- 为受约束和不受约束系统统一控制设计.
主要方法:
- 构建基于优化策略的事件触发参数估计机制.
- 利用改进的转换和一个精细的性能功能稳定器设计.
- 开发一种适应性指定时间稳定器,以防止数值膨胀.
主要成果:
- 闭环系统状态在指定的时间内保证汇聚到一个紧的集合中,保持在这个集合中,最终达到零.
- 在有限的时间内对未知的系统参数进行有效估计.
- 在现有的规定的时间稳定技术上证明了优越性.
结论:
- 拟议的自适应指定时间稳定策略有效地处理具有不对称输出约束的不确定非线性系统.
- 该方法成功地避免了奇点,并实现了有限时间参数估计.
- 实际有效性通过电机系统控制示例来验证.
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