基于改进 LMI的鲁棒H∞动态输出反馈控制综合

郝峰; 叶思隽; 车晓涛

doi:10.15892/j.cnki.djzdxb.2017.02.002

弹箭与制导学报 >

2017 , Vol. 37 >Issue 2: 5 - 10

DOI: https://doi.org/10.15892/j.cnki.djzdxb.2017.02.002

导弹与制导技术

基于改进 LMI的鲁棒H∞动态输出反馈控制综合

郝峰 ,
叶思隽 ,
车晓涛

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1 西北工业大学航天学院, 西安 710072
2 中国兵器工业第203研究所, 西安 710065

郝峰(1975-),男,陕西西乡人,高级工程师,博士研究生,研究方向:飞行器总体设计、飞行动力学与控制。

收稿日期: 2016-01-11

网络出版日期: 2025-05-23

基金资助

总装预先研究项目(1020702)资助

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Improved LMI-based Robust H∞ Dynamic Output-feedback Control Synthesis

HAO Feng ,
YE Sijun ,
CHE Xiaotao

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1 School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China
2 No. 203 Research Institute of China Ordnance Industries, Xi'an 710065, China

Received date: 2016-01-11

Online published: 2025-05-23

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摘要

研究动态输出反馈(DOF)下连续时间系统的鲁棒H∞控制综合问题。借助于线性矩阵不等式(LMI)技术,给出了闭环系统鲁棒H∞DOF控制器存在的充要条件。该条件依赖于引入的松弛变量,消除了Lyapunov变量与系统矩阵之间的耦合,能够减小控制器设计的保守性。利用变量替换方法,将上述条件中的非线性矩阵不等式转化为关于替换变量的LMI,并给出了相应的DOF控制器求解方法。数值算例结果验证了新方法的有效性。

关键词： 控制理论; 鲁棒控制; 动态输出反馈; 线性矩阵不等式; H∞控制

本文引用格式

郝峰 , 叶思隽 , 车晓涛 . 基于改进 LMI的鲁棒H∞动态输出反馈控制综合[J]. 弹箭与制导学报, 2017 , 37(2) : 5 -10 . DOI: 10.15892/j.cnki.djzdxb.2017.02.002

Abstract

The problem of robust H∞ control synthesis based on dynamic output-feedback (DOF) for continuous-time systems is investigated. By using of Linear Matrix Inequality (LMI) technique, new sufficient and necessary condition for the existence of robust H∞ DOF controller is derived. The condition eliminates the coupling of Lyapunov variable and system matrices by introducing slack variable to reduce the conservatism of controller design. The nonlinear matrix inequality in the proposed condition is converted into LMI about new variables based on variable substitution method. A numerical simulation example is given to demonstrate the effectiveness of the approach.

Key words： control theory; robust control; dynamic output-feedback; linear matrix inequality; H∞ control

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