Stability analysis of discrete fuzzy control system
Stability analysis of discrete fuzzy control system
复制标题
离散模糊控制系统的稳定性分析
DOI：
10.1109/fuzzy.1992.258682
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
S. Singh
中科院分区：
文献类型：
--
作者：
S. Singh
讨论了离散模糊控制系统的稳定性问题。模糊控制系统具有线性对象和非线性控制器。非线性模糊控制器是基于间接推理机制。非线性的模糊控制器的特点是使用扇区条件的线性增益。针对扇区检查系统的稳定性，根据用于基于实际条件选择较低扇区的算法来确定扇区的下限。导出了系统绝对稳定的条件。结果表明，如果基于该算法选择一个扇区，则与保证系统绝对稳定的论域相关的参数空间变得更宽。对于两输入单输出的情形，给出了系统绝对稳定的充分条件。定性地讨论了初始条件和采样时间的影响。<<ETX>>
The stability of a discrete fuzzy control system is discussed. A fuzzy control system has a linear plant but a nonlinear controller. The nonlinear fuzzy controller is based on an indirect reasoning mechanism. Nonlinearity of the fuzzy controller is characterized by a linear gain using a sector condition. The stability of the system is checked against the sector, whose lower bound is decided according to an algorithm for selecting the lower sector based on actual conditions. A condition of absolute stability is derived for the system. It is shown that the parametric space related to the universe of discourse in which the absolute stability of the system is guaranteed becomes wider if a sector is chosen based on the algorithm. A sufficient condition of absolute stability is derived for the case of two inputs and a single output. The effect of initial conditions and sampling time is qualitatively discussed.<<ETX>>