Robust Stability of Uncertain Takagi-Sugeno Fuzzy Systems with Time-varying Input-delay
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摘要: 本文主要针对不确定的输入变时滞 T-S 模糊系统设计模糊控制器使系统鲁棒稳定. 首先基于 Lyapunov-Krasovskii 泛函方法, 通过引入更多的松弛变量矩阵, 以 LMI 形式给出使此模糊系统稳定的充分条件. 在设计模糊控制器时并不要求满足时变输入时滞的导数小于1的限制条件. 最后给出数值仿真例证本文提出的结果的有效性且保守性更小.
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关键词:
- 不确定T-S模糊系统 /
- 线性矩阵不等式 /
- 鲁棒稳定性 /
- 输入时滞 /
- Lyapunov-Krasovskii泛函
Abstract: This paper aims to design a controller to robustly stabilize uncertain Takagi-Sugeno fuzzy systems with time-varying input delay. Based on Lyapunov-Krasovskii functional approach, the sufficient conditions for robust stabilization of such systems are given in the form of linear matrix inequalities. The controller design does not have to require that the time-derivative of time-varying input delay be smaller than one. A numeric example is given to show that the proposed results are effective and lessconservative. -
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