摘要
研究飞机垂直起降优化控制问题,飞机多采用辅助矢量推力和升力风扇系统,推力系统包含主推进引擎,升力风扇,两侧横滚喷嘴等。通过分析推力系统模型,建立了纵向运动学和动力学方程。同时设计了非线性模型预测控制器对纵向姿态进行控制。垂直起降飞机控制的难点在于其存在非线性推力矢量输入,传统的基于小扰动线性化方法的控制器设计并不适用。提出用非线性预测控制器通过利普希兹有界函数限定非线性项,并获得利普希兹系数,通过优化目标函数的上界,并将稳定性保证条件和线性约束转化为一系列的线性矩阵不等式(LMI)形式,从而有效地对含非线性输入的垂直起降飞机进行控制。最后通过对纵向飞行状态和控制进行仿真,验证了控制器设计的有效性。
In the paper, longitudinal motion and dynamic equations were obtained and non - linear model predictive controller was designed to control its pitch attitude. The difficulties exist in dealing with the nonlinear vectored thrust inputs and the traditional perturbation linearization method is not suitable. The proposed controller uses Lipschitz function to constrain nonlinear terms, and then acquires Lipschitz constants. With the purpose of achieving asymptotical stability and satisfy linear constraints, the controller adopts Linear Matrix Inequality （LMI） to optimize the upper bound of the objective function. This method successfully achieves the controllability of the vertical taking - off and landing aircrafts. Simulation results prove the effectiveness of the controller proposed in the paper.
出处
《计算机仿真》
CSCD
北大核心
2013年第12期98-101,120,共5页
Computer Simulation
基金
国家自然科学基金重点项目(61134004)
