@inproceedings{2a41cac77e504998a423110c667f7cf0,
title = "Linearized controller design for the output pdfs using square root based B-spline models",
abstract = "This paper presents a linearized approach for the controller design of the shape of the output probability density functions for general stochastic systems. A square root approximation to the output probability density function is realized by a set of B-spline functions. This generally produces a nonlinear state space model for the weights of the B-spline approximation. A linearized model is therefore obtained and embedded into a performance function that measures the tracking error of the output probability density function with respect to a given distribution. By using this performance function as a Lyapunov function for the closed loop system, a feedback control input has been obtained which guarantees the closed loop stability and realizes the perfect tracking. The algorithm described in this paper has been tested on a simulated example and desired results have been achieved.",
keywords = "B-splines neural networks, Dynamic stochastic systems, Lyapunov stability theory, Probability density function",
author = "P. Kabore and H. Baki and H. Wang",
note = "Publisher Copyright: Copyright {\textcopyright} 2002 IFAC.; 15th World Congress of the International Federation of Automatic Control, 2002 ; Conference date: 21-07-2002 Through 26-07-2002",
year = "2002",
doi = "10.3182/20020721-6-es-1901.01149",
language = "English",
isbn = "9783902661746",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "1",
pages = "467--472",
editor = "Gabriel Ferrate and Camacho, {Eduardo F.} and Luis Basanez and {de la Puente}, {Juan. A.}",
booktitle = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
edition = "1",
}