一维模糊PID控制器的钝性稳定性分析

STABILITY ANALYSIS OF FUZZY PID CONTROLLER WITH ONE-INPUT

  • 摘要: 本文研究新近提出的模糊PID控制器1的稳定性问题.由于该模糊PID控制器的模糊推理部分具有非线性特性,因此本文采用钝性定理来分析它的稳定性.本文给出分析稳定性的方法,并针对一阶和二阶对象的一般形式,给出了保证系统稳定的参数范围,用仿真验证了所得结果.高阶对象也可以使用圆判据求取相应结果.

     

    Abstract: Stability of a fuzzy PID controller with one input, which is proposed recently, is studied in this paper. Fuzzy logic inference in the fuzzy PID controller is nonlinear, therefore,-Passivity theorem is utilized to analyze its stability. The relations between parameters are given to guarantee stability of the whole system with respect to the first order plant and the second order plant. A simulation example is shown to verify the results. Stability of the higher-order plants can also be analyzed by-passivity theorem.

     

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