模糊控制系统稳定性判定方法的研究

Research on method of determining stability of fuzzy control system

介绍了模糊控制器稳定性判定的几种情况,来源于非线性数学模型描述的非线性控制系统的稳定性分析.其中的一些方法针对具体问题或针对严格规定的模糊控制器结构,对于非线性继电器模型来模拟的模糊控制器或MIMO控制系统可以使用奈奎斯特稳定判据确定模糊控制系统的稳定区域.对于被控系统的稳定性模糊制器的输入采用线性函数和一阶导数的情况下,使用模糊控制器的滑模运算.类似的采用滑块控制原理评价.最后说明了李雅普诺夫的稳定性原理对模糊控制的3种稳定性判定.

This paper introduced several conditions to determine the stability of the fuzzy controller and the stability analysis of nonlinear control system source was described in the nonlinear mathematical model. Some methods to solve the concrete problems or the stucture of the fuzzy controller was strictly regulated,for the nonlinear relay model to simulate the fuzzy controller or MIMO control system can use the Nyquist stability criterion to determine the stability region of fuzzy control system for the stability of the controlled system of the fuzzy controller input usign linear function and derivative under the condition of using sliding mode fuzzy controller. Finally,the slider control similar to that Lyapunov stability principle of 3 kinds of stability of fuzzy control decision was discussed.