高超声速飞行器非线性H_∞姿态控制设计

王延, 周凤岐, 周军, 郭建国

西北工业大学精确制导与控制研究所



摘要:

针对高超声速飞行器倾斜转弯姿态跟踪控制问题,将非线性耦合系统的姿态跟踪控制表述为非线性H∞控制的指令误差状态空间实现形式.基于非线性系统γ-耗散性及L2增益设计准则,设计满足Hamil-ton-Jacobi-Isaacs不等式的光滑可微储能函数.在一定假设条件下,利用非线性系统在局部空间内线性伴随系统的Riccati微分方程,获得非线性H∞控制问题在邻近指令误差状态空间的局部空间解,来解决非线性耦合系统的H∞控制问题.实验结果表明,该方案避免了复杂的Hamilton-Jacobi-Isaacs不等式求解过程.

关键词:  高超声速飞行器  非线性H∞控制  L2增益  Hamilton-Jacobi-Isaacs不等式

DOI：10.11918/j.issn.0367-6234.2011.09.025

分类号:V249

基金项目:航天科技创新基金资助项目(N11XW0001)



Design of nonlinear H_∞ controller for hypersonic vehicle system

WANG Yan, ZHOU Feng-qi, ZHOU Jun, GUO Jian-guo

Institute for Precision Guidance and Control,Northwestern Polytechnical University,710072 Xi’an,China

Abstract:

For the BTT attitude tracking control problem of hypersonic vehicle,a state-error-space implementation expression of nonlinear H∞ attitude tracking control for above nonlinear coupling system is given firstly.Then basing on γ-energy-dissipation and L2 gain performance criterion in nonlinear system theory,the smooth differentiable stored-energy function is designed,which subject to the Hamilton-Jacobi-Isaacs inequality.Following some assumptions,a local state-space solution of nonlinear H∞ attitude-tracking control problem for nonlinear coupling hypersonic vehicle system is obtained,by using Riccati differential equation of linear following system in local state-space.The local state-space is the neighborhood around the command state error space.Above approach avoids complicated solving process of Hamilton-Jacobi-Isaacs inequality,thus it’s a good reference for engineering.

Key words:  hypersonic vehicle  nonlinear H∞ control  L2 gain  Hamilton-Jacobi-Isaacs inequality