A kind of output SDC systems tracking controller design and its control-loop performance assessment

In This paper, in order to assess the accuracy of the PDF (Probability Density Function) tracking control of the stochastic distribution control system, the author proposes a performance assessment technique for the issue shows that how well the tracking controller work for the purpose that the controlled PDF tracking a desired one. And a normalized index lies between 0 and 1, which can be calculated directly from the output PDF and the target PDF, to show the behavior of the tracking controller. The newly developed rational square-root B-spline model was introduced for the output PDF approximation and the dynamic characteristics of the close-loop process is represented by the error dynamic equation of the weight vector of basis function and the output PDF feedback control. The proposed tracking controller designed in this note based on solving LMI (Linear Matrix Inequality) that guarantee the bounded stability of the error dynamic system. At the end of this paper, a simulation example is incorporated to show the feasibility and effectiveness of the tracking controller and the proposal performance index.