| 引用本文: | 李小兵,赵思源,卜祥伟,等.高超声速飞行器保预设性能的反演控制方法.[J].国防科技大学学报,2020,42(1):73-83.[点击复制] |
| LI Xiaobing,ZHAO Siyuan,BU Xiangwei,et al.Backstepping control method for hypersonic vehicles to guarantee prescribed performance[J].Journal of National University of Defense Technology,2020,42(1):73-83[点击复制] |
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| 高超声速飞行器保预设性能的反演控制方法 |
| 李小兵1,赵思源2,卜祥伟1,何阳光2 |
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(1. 空军工程大学 防空反导学院, 陕西 西安 710051;2. 空军工程大学 研究生院, 陕西 西安 710051)
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| 摘要: |
| 为了解决高超声速飞行器纵向运动模型的稳定轨迹控制问题,设计了一种在非仿射模型基础上保证预设性能的反演控制方法。对于速度子系统,直接设计非仿射控制律,保证预设性能,通过合理的变换将高度子系统转化为严格的反馈形式,便于反演控制步骤的设计。基于动态性能和稳态精度,设计了预设性能函数,将跟踪误差的稳定性限制在预设范围内,引入指令滤波器,有效克服了传统反演控制中虚拟信号重复推导的问题。控制器的设计不依赖于精确的模型。引入径向基函数来逼近过程中的未知函数,使得控制律具有令人满意的鲁棒性和实用性。基于李雅普诺夫稳定性理论,证明了所有闭环系统的稳定性。仿真结果表明,该控制器能够稳定地跟踪参考信号。 |
| 关键词: 高超声速飞行器 非仿射 预设性能 反演控制 径向基函数 |
| DOI：10.11887/j.cn.202001011 |
| 投稿日期：2018-09-07 |
| 基金项目:国家自然科学基金资助项目(61603410)；陕西省高校科协青年人才托举计划资助项目(20170107)；陕西省自然科学基础研究计划资助项目(2018JQ6024) |
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| Backstepping control method for hypersonic vehicles to guarantee prescribed performance |
| LI Xiaobing1, ZHAO Siyuan2, BU Xiangwei1, HE Yangguang2 |
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(1. Air and Missile Defense College, Air Force Engineering University, Xi′an 710051, China;2. Graduate College, Air Force Engineering University, Xi′an 710051, China)
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| Abstract: |
| In order to solve the problem of stable trajectory control of hypersonic vehicle longitudinal motion model, a backstepping control method was designed to ensure the prescribed performance on the basis of non-affine model. For the velocity subsystem, the non-affine control law was directly designed to ensure the prescribed performance, and the altitude subsystem was transformed into a strict feedback form through reasonable transformation to facilitate the design of backstepping control steps. Based on dynamic performance and steady-state accuracy, the preset performance function was designed to limit the stability of tracking error within the preset range, and the instruction filter was introduced to effectively overcome the problem of repeated derivation of virtual signal in traditional inversion control. The design of the controller does not depend on the exact model. The radial basis function was introduced to approximate the unknown function in the process. As a result, the control law has satisfactory robustness and practicability. Based on the Lyapunov stability theory, the stability of all closed-loop systems was proved. Simulation results show that the controller can track the reference signal stably. |
| Keywords: hypersonic flight vehicles non-affine prescribed performance backstepping control radial basis function |
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