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Delay-decomposition Approach to Memory State Feedback Controller for Stabilization of Combustion Process in Rocket Motors
Received date: 2013-05-23
Revised date: 2013-12-17
Online published: 2014-01-21
Supported by
National Natural Science Foundation of China (61374120)
The dynamical model of combustion in liquid propellant rocket motors is an unstable time-delay system. In order to improve the combustion stability of the closed-loop system, this paper investigates the memory state feedback control for the combustion process in a liquid propellant rocket motor chamber. Firstly, based on the delay-decomposition approach, a new appropriate Lyapunov-Krasovskii (L-K) functionality is introduced, and it is combined with the integral inequality method to deal with the cross-terms; thus a less conservative stability criterion is developed, based on which, a memory state feedback controller is designed. The parameterized expression of the controller is obtained by providing the feasible solution of linear matrix inequality (LMI). Simulation results show that the proposed criterion has enlarged the upper bound of the time-delay and it is less conservative. Moreover, the designed controller has better performance than those reported in existing literature.
HUI Junjun , ZHANG Hexin , ZHOU Xin , KONG Xiangyu , LI Guoliang . Delay-decomposition Approach to Memory State Feedback Controller for Stabilization of Combustion Process in Rocket Motors[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(4) : 948 -956 . DOI: 10.7527/S1000-6893.2013.0491
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