一种基于模糊近似的严格反不确定非线性系统的新型规定的时间H∞强大的后退控制算法
Lijin Fang1, Hesong Shen1, Huaizhen Wang2
1Faculty of Robot Science and Engineering, Northeastern University, Shenyang, 110000, China.
ISA transactions
|August 7, 2025
概括
本研究引入了一种新的规定的时间H∞对不确定的非线性系统的强有力的控制,增强了收速度并保持了强度. 模糊的自适应控制器有效地处理不确定性,以提高系统性能.
科学领域:
- 控制理论 控制理论
- 机器人技术 机器人技术 机器人技术
- 非线性系统是非线性系统.
背景情况:
- 严格反不确定的非线性系统 (SFUNS) 在实现快速融合和稳定性方面存在挑战.
- 传统的H∞稳定性控制方法在不损害稳定性的情况下提高融合速度可能面临局限性.
研究的目的:
- 为SFUNSs.开发一个新的规定的时间H∞强大的控制方案.
- 提高强大的控制系统的融合速度,同时保持其强度.
- 在规定的时间内解决一次性不确定性,包括匹配和不匹配的类型.
主要方法:
- 一个规定的时间H∞强大的稳定性定理被制定.
- 一个基于模糊近似的控制器是使用后退框架设计的.
- 模糊的适应性定律被用来近似系统的不确定性.
- 利亚普诺夫稳定理论被用于理论验证.
主要成果:
- 拟议的控制方案实现了SFUNS的规定的时间趋同和稳定性.
- 模糊的适应定律成功地在规定的时间内近似一次性不确定性.
- 控制器同时表现出快速响应性能和强大的稳定性.
- 在双链机器人操纵器上的模拟验证了控制方案的有效性.
结论:
- 新的规定的时间H∞稳定控制方案有效地解决了SFUNS中的融合和稳定性挑战.
- 模糊近似方法可以同时实现快速响应和强大的稳定性.
- 该方法比传统的H∞稳定控制技术有了显著的改进.
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