强大的有限时间输入到状态稳定性通过冲动混合控制不确定的动态系统与干扰
Bin Liu1, Meng-Ge Li2, Ya-Dan Shi3
1College of Science, Hunan University of Technology, Zhuzhou 412000, Hunan, PR China.
ISA transactions
|March 2, 2025
概括
本研究为不确定系统引入了强大的有限时间控制方法,使用冲动混合控制 (IHC) 实现强大的有限时间输入到状态稳定性 (R-FT-ISS) 和强大的有限时间稳定性 (R-FTS). 这些新技术有效地减轻干扰,提高系统稳定性.
科学领域:
- 控制理论 控制理论
- 动态系统 动态系统
- 非线性控制是指非线性控制.
背景情况:
- 不确定动态系统 (UDS) 经常面临外部和结构性干扰的挑战.
- 在有限的时间内实现强大的有限时间稳定性 (R-FTS) 和输入到状态稳定性 (R-FT-ISS) 对实际应用至关重要.
- 现有的控制方法可能无法在干扰下充分解决稳定性和有限时间趋同问题.
研究的目的:
- 提出强大的GKL稳定性,R-FT-ISS和R-FTS的新概念.
- 开发基于时间的IHC (T-IHC) 和基于状态的IHC (S-IHC) 用于带有干扰的UDS.
- 为R-FT-ISS和R-FTS使用Lyapunov-like函数和汉密尔顿-雅科比不等式建立较少限制的标准.
主要方法:
- 引入了强大的GKL稳定性,R-FT-ISS和R-FTS.
- 开发基于时间的IHC (T-IHC) 和基于状态的IHC (S-IHC).
- 利用汉密尔顿-雅科比不等式与利亚普诺夫式函数来推导稳定性标准.
- 为R-FT-ISS和R-FTS设计事件触发的S-IHC方案.
主要成果:
- 对于R-FT-ISS和R-FTS,在IHC下为UDS建立了不那么严格的标准.
- 事件触发的S-IHC方案是设计的,实现R-FT-ISS和R-FTS与结算时间估计.
- 无论是T-IHC还是S-IHC,都在实现各种干扰的不稳定系统的R-FT-ISS和R-FTS方面都表现出有效性.
- IHC方法被证明是抗干扰和强大的,改进了现有的ISS稳定技术.
结论:
- 冲动混合控制 (IHC),包括T-IHC和S-IHC,有效地实现了强大的有限时间稳定性和输入到状态稳定性,用于带有干扰的不确定系统.
- 与冲动和易受干扰系统的先前技术相比,拟议的方法提供了更好的稳定性和有限时间的融合.
- 基于状态的IHC (S-IHC) 在减少脉冲数量和成本方面具有优势,而基于时间的IHC (T-IHC) 则提供更快的结算时间.
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