基于干扰观察者对随机系统的固定时间控制
Xinjiang Wei1, Yunpeng Zhang2, Huifeng Zhang2
1School of Mathematics and Statistics, Taishan University, Taian, China.
ISA transactions
|April 25, 2024
概括
本研究引入了一种新的固定时间反干扰控制方案,用于面临多次干扰和故障的随机系统. 拟议的方法确保在一定的时间内,独立于初始条件,确保系统的趋同.
科学领域:
- 控制理论 控制理论
- 随机系统分析 随机系统分析
- 耐故障控制控制的控制方式
背景情况:
- 随机系统容易受到各种干扰和故障的影响,影响其稳定性和性能.
- 现有的控制方法可能无法在固定的时间内保证趋同,也无法有效处理多个同时发生的干扰和故障.
- 导数边界干扰和乘数噪声在控制系统设计中带来了重大挑战.
研究的目的:
- 为随机系统提出一种新的固定时间反干扰控制方案.
- 解决受到多重干扰 (衍生限和乘数噪声) 和时间变化的故障的系统.
- 确保系统状态在预先规定的固定时间内趋同到平衡.
主要方法:
- 固定时间干扰观察器 (Fixed-time DO) 的设计,使用杆位来估计衍生式受限的干扰.
- 采用适应性定律来接近时间变化的故障.
- 构建一个复合固定时间控制器,集成干扰估计和故障适应.
主要成果:
- 拟议的固定时间干扰观察器有效地估计了衍生式受限的干扰.
- 适应性定律成功地解决了时间变化的故障.
- 复合固定时间控制器确保系统在预先指定的时间内趋同到平衡.
- 模拟结果验证了控制器的有效性,并证明了与初始状态的收时间独立性.
结论:
- 开发的固定时间反干扰控制方案对具有多个干扰和故障的随机系统有效.
- 拟议的方法保证了有限时间的融合,提供了更好的性能和稳定性.
- 控制器的融合时间独立于系统的初始条件,提供可预测的性能.
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