Brief Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers

Authors:
Feng Zheng;Paul M. Frank
Affiliations:
Department of Measurement and Control, Faculty of Electrical Engineering, Gerhard-Mercator-University of Duisburg, 47048 Duisburg, Germany;Department of Measurement and Control, Faculty of Electrical Engineering, Gerhard-Mercator-University of Duisburg, 47048 Duisburg, Germany
Venue:
Automatica (Journal of IFAC)
Year:
2002

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Abstract

The problems of robust stability and robust stabilization of uncertain linear systems with distributed delay occurring in the state variables are studied in this paper. The essential requirement for the uncertainties is that they are norm-bounded with known bounds. Conditions for the robust stability of distributed time delay systems are given and a design method for the robust stabilizing control law of the uncertain systems is presented. The proposed method is applied to the stabilization of combustion in the chamber of a liquid monopropellant rocket motor. It is found that the combustion can be robustly stabilized when the two parameters pressure exponent @c and maximal time lag r vary in specified intervals, respectively.