适应性模糊控制设计用于具有执行和状态约束的非线性系统:一种没有可行性条件的方法
Abdesselem Boulkroune1, Mohammed Haddad2, Hongyi Li3
1University of Jijel, LAJ, BP. 98, Ouled-Aissa, 18000 Jijel, Algeria.
ISA transactions
|August 21, 2023
概括
本研究引入了适应性模糊跟踪控制,用于有约束的不确定非线性系统. 这种新的方法确保了稳定性和约束满足,防止了复杂性爆炸.
科学领域:
- 非线性控制系统 不线性控制系统
- 适应性控制理论 适应性控制理论
- 模糊逻辑系统 模糊逻辑系统
背景情况:
- 纯反非线性系统经常面临时间变化的全态约束 (TFSC),执行器非线性和外部干扰的挑战.
- 当前的控制设计在使用屏障Lyapunov函数 (BLF) 来处理约束时,与虚拟控制规律 (VCL) 的可行性作斗争.
- 这是一个很棒的节目,这是一个很棒的节目.
- 复杂性爆炸 复杂性爆炸
- 这个问题在复杂系统动态的后退设计中出现.
研究的目的:
- 为具有TFSC,执行器非线性和干扰的不确定非线性系统开发适应性模糊跟踪控制方案.
- 为了解决基于BLF的后退控制中VCL可行性的悬而未决的问题.
- 确保所有闭环系统信号的输出跟踪错误趋同和统一的最终边界性,同时尊重状态约束.
主要方法:
- 模糊逻辑系统 (FLS) 被用作在线估计未知非线性函数的通用近似器.
- 一个屏障Lyapunov函数 (BLF) 用于有效地管理和执行时间变化的全态约束.
- 一个后退框架与干扰观察器和预定义的边界VCL集成,以处理估计错误并防止复杂性爆炸.
主要成果:
- 拟议的控制策略保证了输出跟踪错误汇聚到源头周围的一个小邻里.
- 封闭循环系统中的所有信号都被证明是统一的最终边界 (UUB).
- 在整个系统运行过程中,严格遵守所有状态约束.
结论:
- 开发的自适应模糊跟踪控制方案有效处理具有约束和干扰的复杂非线性系统.
- 这种新的方法解决了基于BLF的后退控制中的VCL可行性问题,提供了一个实际的解决方案.
- 模拟结果验证了理论发现,证明了控制策略的有效性.
相关概念视频
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