【作者】 王守唐； 高东杰； 胡包钢；

【Author】 Shoutang Wang Dongjie Gao B.-G Hu (Institute of Automation, Chinese Academy of Science, P.O.Box 2728, Beijing, China, 100080)

【机构】 中国科学院自动化研究所综合自动化工程中心； 中国科学院自动化研究所模式识别实验室；

【摘要】 本文研究新近提出的一维模糊PID控制器([1])的稳定性问题。该模糊PID控制器结构简单,具有三个规则, 六个调节参数,只要求一个输入,且可以产生不次子相应线性PID控制器的控制效果。该模糊PID控制器的模糊推理部分具有非线性特性,因此本文采用非线性理论中的圆判据来分析它的稳定性,针对一阶和二阶对象给出了保证系统稳定的参数之间的关系,高阶对象也可以用相同的方法得到相应的结论,并用仿真实例验证了结论的有效性。更多还原

【Abstract】 Stability of the fuzzy PID controller with single input, which is proposed recently, is studied in this paper. The controller uses fuzzy inference with three rules and at most six parameters. And only single input is required. It can provide the performance no worse than the corresponding PID linear controllers. Fuzzy logic inference in the fuzzy PID controller is nonlinear, therefore, circle criterion is utilized to analyze its stability. The relations among parameters are given to guaranteeing stability of the whole system with respect to the first order plant and the second order plant. Two simulations are shown to verify the results.更多还原