通过通用延迟导数 - 相互依赖的凸矩阵不等式来改善具有周期变异延迟的TS模糊系统的结果
IEEE transactions on cybernetics
|February 6, 2026
概括
本研究探讨了具有周期变化延迟 (PVD) 的TS模糊系统的稳定性. 新的标准增强了对这些复杂系统的稳定性分析和控制器设计.
科学领域:
- 控制理论 控制理论
- 系统工程 系统工程
- 非线性动力学是一种非线性动力学.
背景情况:
- T-S模糊系统被广泛用于模拟非线性系统.
- 定期变化的延迟 (PVDs) 在稳定性分析中带来了重大挑战.
- 对于PVDs的现有方法通常在估计准确度上有局限性.
研究的目的:
- 调查使用PVD的TS模糊系统的稳定性和稳定性.
- 为带有PVD的系统制定增强的稳定性标准.
- 设计一个模糊内存控制器用于在PVD下系统稳定.
主要方法:
- 建立了一个针对模糊规则和PVD量身定制的增强的Lyapunov-Krasovskii函数 (LKF).
- 使用模糊增强的LKF和一般化延迟导数依赖的相互凸矩阵不等式 (RCMI) 来得出增强的稳定性标准.
- 在模糊内存控制器设计中采用了并行分布式补偿 (PDC) 方案.
主要成果:
- 拟议的稳定性标准通过结合更多的自由变量来克服以前方法的局限性,从而导致更严格的界限.
- 一般化的RCMI方法提高了估计准确性,而不是只使用两个相互凸项 (RCT) 的方法.
- 设计的模糊内存控制器有效地确保了系统稳定.
结论:
- 开发的稳定性标准为分析带有PVD的TS模糊系统提供了显著的改进.
- 拟议的控制器设计方法对于稳定受定期变化的延迟影响的系统是有效的.
- 数字模拟验证了增强的稳定性标准和控制器的性能.
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