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弹箭与制导学报 >

2012 , Vol. 32 >Issue 3: 82 - 85,95

DOI: https://doi.org/10.15892/j.cnki.djzdxb.2012.03.043

导弹与制导技术

基于平方和优化的飞行器大角度机动 LPV 控制器设计方法

  • 陈琦 ,
  • 蔡宗平 ,
  • 马清亮 ,
  • 殷小静 ,
  • 徐晨
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  • 1 第二炮兵工程学院,西安 710025
    2 68054部队,西安 710060

陈琦(1985-),男,安徽阜阳人,硕士研究生,研究方向:导航、制导与控制。

收稿日期: 2011-06-29

  网络出版日期: 2025-05-29

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The Design of LPV Controller for Spacecraft's Wide Angle Maneuver Based on Square Sum Optimization

  • CHEN Qi ,
  • CAI Zongping ,
  • MA Qingliang ,
  • YIN Xiaojing ,
  • XU Chen
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  • 1 The Second Artillery Engineering Colleague, Xi'an 710025, China
    2 No. 68054 Unit, Xi'an 710060, China

Received date: 2011-06-29

  Online published: 2025-05-29

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摘要

采用修正的Rodrigues参数(MRP)建立了飞行器姿态控制的数学模型,将非线性的飞行器姿态控制系统模型转化为线性参数可变模型(LPV模型),避免了四元数法带来的复杂计算量。针对Lyapunov函数V=xᵀP(x)x中含有多项式参数矩阵P(x)的非线性系统,提出了一套利用平方和优化技术和Lyapunov理论进行正定判定的方案和镇定控制器设计方法。仿真结果表明,设计方法有效解决了此类系统控制器设计问题,控制器具有较快的响应速度和较好的稳定性。

关键词： LPV 模型; 平方和优化; 大角度机动; Lyapunov 函数; 控制器设计

本文引用格式

陈琦 , 蔡宗平 , 马清亮 , 殷小静 , 徐晨 . 基于平方和优化的飞行器大角度机动 LPV 控制器设计方法[J]. 弹箭与制导学报, 2012 , 32(3) : 82 -85,95 . DOI: 10.15892/j.cnki.djzdxb.2012.03.043

Abstract

In this paper, the modified Rodrigues parameter(MRP) was used to replace the quaternion to set up the mathematic model of spacecraft attitude control system, then the nonlinear spacecraft attitude system model was transformed into the line parameter variable model( the LPV model). For the nonlinear system that its Lyapunov function(V = x*P(x) x) includes polynomial matrix P(x), a new approach for LPV controller design was developed based on square sum optimization and the Lyapunov theories. An example was provided to demonstrate effectiveness of the new approach.

Key words： LPV model; square sum optimization; wide angle maneuvering; Lyapunov function; controller design

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参考文献

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