New Approach to Delay-Dependent Stability Analysis and Stabilization for Continuous-Time Fuzzy Systems With Time-Varying Delay
New Approach to Delay-Dependent Stability Analysis and Stabilization for Continuous-Time Fuzzy Systems With Time-Varying Delay
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DOI：
10.1109/tfuzz.2006.889963
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发表时间：
2007-06
影响因子：
11.9
通讯作者：
Huai‐Ning Wu;Han-Xiong Li
中科院分区：
文献类型：
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作者：
Huai‐Ning Wu;Han-Xiong Li
研究了具有时变时滞的连续时间Takagi和Sugeno （T-S）模糊系统的时滞相关稳定性分析和镇定问题。提出了一种新的时滞相关稳定性分析与镇定方法，该方法具有较低的保守性。首先，基于模糊Lyapunov-Krasovskii泛函（LKF），导出了开环模糊系统的时滞相关稳定性判据。在推导过程中，引入了一些自由模糊加权矩阵来表示系统方程项之间的关系，以及莱布尼茨-牛顿公式项之间的关系。然后，针对闭环模糊系统，提出了一种基于并行分布补偿（PDC）方案的时滞相关镇定条件。用线性矩阵不等式（lmi）表示了所提出的稳定性判据和稳定条件，并通过两个算例与已有的判据和稳定条件进行了比较。最后，以某汽车挂车为例，说明了所提设计方法的有效性。
This paper is concerned with delay-dependent stability analysis and stabilization problems for continuous-time Takagi and Sugeno (T-S) fuzzy systems with a time-varying delay. A new method for the delay-dependent stability analysis and stabilization is suggested, which is less conservative than other existing ones. First, based on a fuzzy Lyapunov-Krasovskii functional (LKF), a delay-dependent stability criterion is derived for the open-loop fuzzy systems. In the derivation process, some free fuzzy weighting matrices are introduced to express the relationships among the terms of the system equation, and among the terms in the Leibniz-Newton formula. Then, a delay-dependent stabilization condition based on the so-called parallel distributed compensation (PDC) scheme is worked out for the closed-loop fuzzy systems. The proposed stability criterion and stabilization condition are represented in terms of linear matrix inequalities (LMIs) and compared with the existing ones via two examples. Finally, application to control of a truck-trailer is also given to illustrate the effectiveness of the proposed design method.