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摘要: 研究离散T-S模糊控制系统基于模糊Lyapunov函数的稳定性分析及控制器设计问 题.首先,构造出离散型模糊Lyapunov函数,模糊Lyapunov函数是系数与T-S模糊系统的模糊 规则权重相对应的复合型Lyapunov函数.然后,得到了开环系统新的稳定性充分条件,与公共 Lyapunov方法的结果相比,这一条件更为宽松.进而,基于一系列线性矩阵不等式设计出模糊 控制器.最后,仿真实例说明了该方法的算法和本文条件的优越性.
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关键词:
- T-S模糊系统 /
- 模糊Lyapunov函数 /
- 渐近稳定 /
- 线性矩阵不等式
Abstract: The stability analysis and fuzzy controller design problem of discrete T-S Fuzzy control system are discussed based on fuzzy Lyapunov function. First, a new Lyapunov Function for discrete T-S fuzzy system is constructed. The fuzzy Lyapunov function Shares the same membership functions with the T-S fuzzy model. Then, a new sufficient Condition for the stability of the open-loop system is proposed. This condition is Less conservative than the results obtained with the common Lyapunov approach. In addition , the fuzzy controller is designed based on a series of LMIs. At last, simulation example shows the design procedure and the advantage of the proposed method. -
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