基于核主元分析方法的非线性控制系统性能评估

Nonlinear Control System Performance Assessment Based on the Kernel Principal Component Analysis Method

针对实际过程中存在的一类同时具有执行器非线性和过程输出非线性的系统,提出了一种基于核主元分析(KPCA)的控制系统性能评估方法.该方法首先利用核主元分析方法估计其噪声序列,其次讨论了该类非线性系统反馈不变量的存在性,推导了系统的最小方差下限,并将其作为系统的性能基准.最后将本文方法与其他评价方法进行比较,仿真结果表明所提出的方法更能实际反映出该类非线性系统的真实性能.

A performance assessment method based on kernel principal component analysis （KPCA） is proposed for a class of nonlinear systems that have actuators and process output nonlinear characteristics in practical processes. First, KPCA is used to estimate the noise sequence of the system. Second, the existing conditions of feedback invariants are discussed, and the lower bound of system minimum variance, which is the basis of performance of the system, is derived. Finally, the proposed method is compared with other evaluation meth- ods. Simulation results show that the proposed method more accurately reflects the true performance of the class of nonlinear systems.