| 引用本文: | 王延,周凤岐,周军,郭建国.高超声速飞行器非线性H_∞姿态控制设计[J].哈尔滨工业大学学报,2011,43(9):128.DOI:10.11918/j.issn.0367-6234.2011.09.025 |
| WANG Yan,ZHOU Feng-qi,ZHOU Jun,GUO Jian-guo.Design of nonlinear H_∞ controller for hypersonic vehicle system[J].Journal of Harbin Institute of Technology,2011,43(9):128.DOI:10.11918/j.issn.0367-6234.2011.09.025 |
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| 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) |
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| Design of nonlinear H_∞ controller for hypersonic vehicle system |
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WANG Yan, ZHOU Feng-qi, ZHOU Jun, GUO Jian-guo
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Institute for Precision Guidance and Control,Northwestern Polytechnical University,710072 Xi’an,China
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| 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 |
