一种类别的分数顺序非严格反非线性系统的滑动模式跟踪控制
Reza Mohsenipour1,2, Daniel Massicotte1
1Department of Electrical and Computer Engineering, University of Quebec at Trois-Rivieres, Trois-Rivières, QC Canada.
Nonlinear dynamics
|August 15, 2024
概括
本研究引入了一种新的滑动模式控制 (SMC) 方法,用于分数顺序 (FO) 非线性系统. 该方法简化了控制器的设计,并确保了复杂系统的稳定性和有限时间的融合.
科学领域:
- 控制理论 控制理论
- 非线性系统是非线性系统.
- 分数微积分的计算.
背景情况:
- 传统的滑动模式控制 (SMC) 仅限于整数顺序系统.
- 分数顺序 (FO) 衍生因莱布尼茨规则中的无限序列而使标准控制设计复杂化.
研究的目的:
- 为具有不确定性的分数顺序 (FO) 非严格反非线性系统开发一个滑动模式控制 (SMC) 解决方案.
- 解决现有的SMC方法在处理FO动态方面的局限性.
主要方法:
- 对于产品的FO衍生物,使用来自莱布尼茨规则的特定术语.
- 开发一个简化的算法,用于控制器设计和参考跟踪.
- 证明控制器设计的封闭式解决方案.
主要成果:
- 一个新的SMC规则是为一类FO非严格反非线性系统设计的.
- 该方法有效处理具有混合整数和FO动态的系统.
- 证明了拟议的控制法的稳定性和有限时间趋同.
结论:
- 与现有文献相比,拟议的SMC方法在设计参数中提供了显著的减少.
- 封闭式解决方案为设计FO系统的控制器提供了一个实用的工具.
- 该方法通过来自现实世界的系统的数值示例来验证.
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