对于离散时间模糊系统的局部稳定,通过结构放松来保证弹性
IEEE transactions on cybernetics
|February 18, 2026
概括
这项研究引入了一种稳定离散时间的Takagi-Sugeno模糊系统的新方法,以减少保守主义,确保弹性. 该方法提高了复杂控制系统的计算效率和实际性能.
科学领域:
- 控制系统工程 控制系统工程
- 模糊逻辑系统 模糊逻辑系统
- 非线性控制理论 不线性控制理论
背景情况:
- 离散时间的Takagi-Sugeno模糊系统被广泛使用,但可能是计算密集的.
- 传统的稳定方法可能会表现出保守性和高计算负担.
- 现有的弹性稳定技术通常依赖于用户定义的超参数,限制了实用性.
研究的目的:
- 开发一种新的方法来缓解分立时间的Takagi-Sugeno模糊系统的局部稳定,以保证弹性.
- 与现有方法相比,减少保守主义和计算复杂性.
- 提高弹性稳定的实用性和数值效率.
主要方法:
- 在一个增强的会员方程框架内,提出了一种新的Lyapunov函数和非平行分布式补偿 (非PDC) 控制法.
- 结构放松是通过放松对称性约束来应用于时间间交叉项的.
- 引入了一个矩阵类型的值条件,以克服超参数限制.
- 开发了基于直角补充的新结构放松定理.
主要成果:
- 拟议的方法实现了放松的局部稳定,并保证了弹性.
- 证明了保守主义和计算负担的减少.
- 通过基准实例的验证显示,与现有方法相比,性能和效率有所提高.
- 矩阵类型的值条件提高了实用性和数值效率.
结论:
- 开发的方法为离散时间的塔卡吉-苏格诺模糊系统的弹性稳定提供了一种有效且不那么保守的方法.
- 新的框架和定理提供了一个计算效率高且实用的解决方案.
- 这些发现有助于推进复杂模糊系统的可靠控制领域.
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