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Stochastic distribution control of singular systems : output PDF shaping

Yue, H. and Leprand, A.J.A. and Wang, H. (2005) Stochastic distribution control of singular systems : output PDF shaping. Acta Automatica Sinica, 31 (1). pp. 151-160.

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This paper presents a new algorithm designed to control the shape of the output probability density function (PDF) of singular systems subjected to non-Gaussian input. The aim is to select a control input uk such that the output PDF is made as close as possible to a given PDF. Based on the B-spline neural network approximation of the output PDF, the control algorithm is formulated by extending the developed PDF control strategies of non-singular systems to singular systems. It has been shown that under certain conditions the stability of the closed-loop system can be guaranteed. Simulation examples are given to show the effectiveness of the proposed control algorithm