自适应离散时间神经规定的性能控制:一种安全的控制方法.
Zhonghua Wu1, Bo Huang1, Xiangwei Bu2
1School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454003, Henan, China; Henan Key Laboratory of Intelligent Detection and Control of Coal Mine Equipment, Jiaozuo, Henan, China.
概括
本研究引入了一种用于离散时间非线性系统的新型自适应开关控制,克服了规定的性能控制 (PPC) 中的输入和和初始条件限制. 新方法确保稳定性和有限时间的融合,即使是随意的初始值.
科学领域:
- 控制系统工程 控制系统工程
- 非线性动力学是一种非线性动力学.
- 离散时间系统是离散时间系统.
背景情况:
- 现有的规定的性能控制 (PPC) 主要针对连续时间系统.
- 挑战包括离散时间非线性系统的输入和和初始条件限制.
- 在PPC中,当输入和存在时,就会出现独特的问题.
研究的目的:
- 为离散时间非线性系统开发一种新的自适应开关控制策略.
- 在PPC框架内解决输入和和初始条件限制.
- 在PPC下释放初始条件约束.
主要方法:
- 设计了一个新的离散时间全球有限时间性能函数 (DTGFTPF),以确保性能边界对初始值不敏感.
- 构建了一个离散时间自适应有限时间规定的性能控制器 (DTAFPPC),用于有限时间跟踪错误的融合.
- 开发了一个离散时间自适应后退控制器 (DTABC) 来处理输入和并防止不稳定.
- 将当前错误值集成到控制器和自适应更新规则中,以克服退步中的非因果问题.
主要成果:
- DTGFTPF确保性能边界独立于任意的初始系统值.
- DTAFPPC保证跟踪错误在有限的时间和预定义的边界内趋同.
- 在输入和期间,DTABC保持系统稳定性,允许暂时超出性能限制.
- 利亚普诺夫分析和模拟证实了闭环系统的稳定性.
结论:
- 拟议的自适应开关控制策略有效地处理带有输入和和初始条件变化的离散时间非线性系统.
- 控制器确保有限时间规定的性能和整体系统稳定性.
- 该方法缓解了对于离散时间系统的现有PPC方法的局限性.
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