实际的预定义时间的自适应模糊控制量化非线性系统通过观察者-差分器方案
Yuanqing Wang1,2, Juan Chen3,4, Wenyao Ma5,6
1Naval Architecture and Shipping College, Guangdong Ocean University, Zhanjiang, 524088, China.
Scientific reports
|March 2, 2026
概括
本研究引入了一种新的模糊控制方法,用于输入量化非线性系统,以确保在设定的时间内稳定. 该方法有效地估计系统状态,并处理信号波动,以获得可靠的性能.
科学领域:
- 控制系统工程 控制系统工程
- 模糊逻辑系统 模糊逻辑系统
- 非线性系统分析 非线性系统分析
背景情况:
- 非严格反非线性系统 (NSFNS) 存在重大控制挑战.
- 输入量化引入非平滑性和非可区分性,使控制设计复杂化.
- 估计无法测量的状态对于有效的输出反控制至关重要.
研究的目的:
- 开发一个预定义的时间适应性模糊控制策略NSFNS与输入量化.
- 设计一个基于模糊逻辑的状态观察器来估计无法测量的状态.
- 提出一个预定义的时间差分器来解决量子化问题并减少控制信号波动.
主要方法:
- 设计了一种使用模糊逻辑的新型反向形正弦态观测器.
- 一个预定义的时间差分器被开发来处理非平滑的量化信号.
- 进行了理论分析,以证明实际的预定义时间稳定性 (PPTS).
主要成果:
- 基于观察者的输出反闭环系统实现了实际的预定义时间稳定性.
- 所有系统信号都被证明是有界的.
- 追踪错误在指定的定位时间内汇聚到零的小邻里,观察错误被抑制.
结论:
- 拟议的自适应模糊控制方案有效地解决了通过输入量化对NSFNS的预定义时间控制.
- 模糊状态观察器和预定义时间差分器的集成确保了系统的稳定性和性能.
- 模拟结果验证了开发的控制策略的实际有效性.
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