A kind of performance assessments for output stochastic distribution control system

In this paper, a CPA (Control Performance Assessment) approach is proposed for output B-spline PDF dynamic stochastic system in the uncertainty sense. This article focus on A new entropy concept, which is similar to Shannon entropy, has been introduced to characterize the uncertainty of the stochastic variable of B-spline PDF dynamic stochastic system, and A normalized index , η_E , which derives from the entropy concept, presents as a criterion for assessing the performance of output B-spline PDF dynamic stochastic system subjected to mean constraint. The performance index η_E is attractive because it provides a measure of uncertainty for the stochastic system and whether the existing controller performed well or not in the entropy sense. A recursive algorithm based on Lyapunov method has been developed to design an efficient controller to minimize the entropy of the stochastic variable of the stochastic system with the mean constraint. At the end of this paper, a simulation example is incorporated to show the feasibility and effectiveness of proposal criterion.