间接自适应模糊算法的参数分析与仿真

针对一类非线性控制系统,Li-Xin Wang提出一种带有监督控制器的间接自适应模糊控制器,这种控制器具有不需要精确数学模型以及精确语言描述,可保证闭环系统稳定的特点,但对于其中部分参数的选择目前主要依靠经验.这里通过数学推导,对其中两个自适应律系数和仿真步长h作了详细的分析,在理论上推导出这三个参数的取值范围.采用倒立摆跟踪模型进行仿真,从而验证文中给出参数取值范围的正确性,并根据仿真结果得出有关参数变化对系统性能影响的规律.

Parameter Determination and Simulation of Indirect Adaptive Fuzzy Controller

According to a nonlinear system, an indirect adaptive fuzzy controller with a supervisory controller was proposed by Dr. Li - Xin Wang. It does not require accurate mathematical model of the plant and any linguistic fuzzy rules, and guarantees the global stability and fast response of the resulting closed - loop system. At present, some parameters are selected with experiences. The mathematic function is deduced, then the relationship with three parameters including adaptation law and, step size h and the system performance are gained. An inverted pendulum tracking system is used as an example, and the model of it is assumed unknown.