火箭发动机燃烧过程无记忆鲁棒镇定的积分不等式方法  

Integral Inequality Approach to Memoryless Robust Stabilization of Combustion Process in Rocket Motor

作　　者：李涛[1] 张合新[1] 孟飞[1] 

机构地区：[1]第二炮兵工程学院自动化系,西安710025

出　　处：《宇航学报》2010年第12期2788-2793,共6页Journal of Astronautics

摘　　要：研究了液体火箭发动机燃烧室燃烧过程的无记忆鲁棒镇定问题。通过构造适当的Lyapunov泛函并结合积分不等式变换技巧,将所得的非线性矩阵不等式转化为可解的线性矩阵不等式,导出了不确定时滞系统可鲁棒镇定的时滞相关条件。与现有方法相比,该方法不涉及模型变换技术,因而减少了理论与计算上的复杂性。同时在较大的参数变化范围内保证了燃烧过程的鲁棒镇定。最后通过数值仿真验证了其有效性。The memoryless robust stabilization of the combustion process in liquid propellant rocket motor chambers is investigated in this paper.By constructing appropriate Lyapunov functional combined with a integral inequality transformation technique,nonlinear matrix inequalities are transformed into linear ones and delay-dependent conditions for robust stabilization of the uncertain system with discrete delay are derived.Compared with existing methods,the proposed approach doesn＇t involve the model transformation technique so that the complexity both in theory and computation can be reduced.And it is guaranteed that the combustion can be robustly stabilized over larger variation intervals of parameters.Numerical simulations demonstrate the effectiveness of the method.

关 键 词：火箭发动机 燃烧 鲁棒镇定 线性矩阵不等式 积分不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]