在多变量连续时间状态空间框架中定义的非最小相位不稳定系统的完美控制 - - 基于逆向的方法
Paweł Majewski1, Wojciech P Hunek1, Jacek Piskorowski2
1Faculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska 76, 45-758 Opole, Poland.
ISA transactions
|June 17, 2023
概括
为不稳定的LTI MIMO系统引入了一项新的完美控制法. 这种方法利用一般化的逆数,确保结构稳定性,并通过模拟进行验证.
科学领域:
- 控制系统工程 控制系统工程
- 系统理论 系统理论
- 机器人技术 机器人技术 机器人技术
背景情况:
- 非最小相位不稳定的线性时间不变 (LTI) 多输入多输出 (MIMO) 系统存在重大控制挑战.
- 现有的控制策略往往难以确保这些复杂系统的稳定性.
研究的目的:
- 为连续时间LTI MIMO系统提出一个新的完美控制定律.
- 确保非最小相位不稳定的系统的结构稳定性.
- 将反向模型控制的适用性扩展到更广泛的植物类别.
主要方法:
- 开发一种基于反向模型控制原则的新型完美控制规律.
- 调查两种不同的控制法实施算法.
- 应用通用逆数来保证结构稳定性.
- 使用Matlab/Simulink中的理论示例和实践模拟进行验证.
主要成果:
- 其中一个被调查的算法被证明是非常准确的.
- 拟议的控制法适用于任何与输出相比投入更多的右转式工厂.
- 完美的控制程序成功地保证了结构稳定性,即使是不稳定的系统.
- 该研究表明,非最小相位属性可以在整个类型的LTI MIMO连续时间装置中进行管理.
结论:
- 新推出的完美控制方法对于非最小相位不稳定的LTI MIMO系统是可行的和有效的.
- 该方法为在复杂的控制场景中实现结构稳定提供了强大的解决方案.
- 这项工作扩大了对控制的理论和实际理解,以应对具有挑战性的系统动态.
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