控制系统中基于映射云的不确定性表示

摘要

为合理地描述仪器仪表、执行机构输出的不确定性,提出了一种映射云概念.映射云具体是通过随机变量簇将输入量变换到输出的可能取值空间,并对若干给定输入值分别建立输出的隶属云片；然后估计输入输出映射的期望函数、熵函数和超熵函数,并建立输入输出映射云,用来定量描述输出的模糊性、随机性及其变化情况.应用实例表明,映射云能有效描述仪器仪表和执行机构的输出不确定性.%To reasonably describe the uncertainty of the output of instrumentation and actuator on control system, the concept of mapping cloud is proposed. Via the random variable cluster, the input value is transformed into the possible space of fetching values of the output. For several given input values, the membership clouds of outputs are established respectively; the expectation function, entropy function and ultra-entropy function of input-output mapping cloud are estimated, and the fuzziness and randomness of outputs and their varying situation are quantitatively described. The practical examples of application show that the mapping cloud can effectively describe the uncertainty of the output from instrumentation and actuators.