变体飞行器有限时间切换H∞跟踪控制

doi:10.3969/j.issn.1000-1093.2018.03.010

兵工学报 ›› 2018, Vol. 39 ›› Issue (3): 485-493.doi: 10.3969/j.issn.1000-1093.2018.03.010

变体飞行器有限时间切换H_∞跟踪控制

夏川¹，董朝阳¹，程昊宇²，王青³，王昭磊⁴

(1.北京航空航天大学航空科学与工程学院，北京 100191； 2.西北工业大学航天学院，陕西西安 710072； 3.北京航空航天大学自动化科学与电气工程学院，北京 100191; 4.北京航天自动控制研究所，北京 100854)

收稿日期:2017-07-11 修回日期:2017-07-11 上线日期:2018-05-07
通讯作者: 董朝阳（1966—），男，教授，博士生导师 E-mail:dongchaoyang@buaa.edu.cn
作者简介:夏川（1993—），男，硕士研究生。E-mail：xiachuanasdf@163.com
基金资助:
国家自然科学基金项目（61374012）；航空科学基金项目(2016ZA51011)

Finite-time H_∞ Tracking Control for Switched Morphing Aircraft

XIA Chuan¹, DONG Chao-yang¹, CHENG Hao-yu², WANG Qing³, WANG Zhao-lei⁴

(1. School of Aeronautic Science and Engineering， Beihang University， Beijing 100191， China;2. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, Shaanxi, China; 3. School of Automation Science and Electrical Engineering， Beihang University， Beijing 100191， China;4. Beijing Aerospace Automatic Control Institute， Beijing 100854， China)

Received:2017-07-11 Revised:2017-07-11 Online:2018-05-07

摘要/Abstract

摘要： 针对变体飞行器变形过程中的跟踪控制问题，基于切换线性变参数控制理论建立了变体飞行器模型。为了抑制变形过程中控制器切换和不确定性的影响，保证闭环系统有限时间有界同时满足指定的H_∞性能指标，基于模态依赖平均驻留时间方法和多Lyapunov函数方法，提出一种切换有限时间H_∞跟踪控制器的设计方法，并分析了系统的有限时间鲁棒稳定性，通过求解线性矩阵不等式得到控制器存在的充分条件。仿真结果表明，所提方法能够使飞行器系统准确跟踪指令，且对于控制器切换和不确定性具有鲁棒性，降低了控制器设计的保守性。

关键词: 变体飞行器, 切换线性变参数, 有限时间有界, H_∞跟踪控制, 模态依赖平均驻留时间

Abstract: Considering the tracking control problem in the process of configuration transformation of morphing aircraft, a morfing aircraft model is developed based on switched linear parameter-varying (LPV) theory. In order to suppress the influence of cotroller switching and uncertainties and ensure that the closed-loop system is finite-time bounded with the given performance index, a finite-time tracking controller design method with switching is developed based on mode-dependent average dwell time (MDADT) method and multiple Lyapunov function method. The finite-time robust stability of the system is analyzed. The sufficient existing conditions of controller can be obtained by solving the linear matrix inequality (LMI). Simulated results show that the aircraft system is able to track command signal accurately by using the proposed method, and is robust to controller switching and uncertainties, thus reducing the conservativeness of controller design. Key

Key words: morphingaircraft, switchedlinearparameter-varying, finite-timeboundness, H_∞trackingcontrol, mode-dependentaveragedwelltime

中图分类号:

V249.121

夏川，董朝阳，程昊宇，王青，王昭磊. 变体飞行器有限时间切换H_∞跟踪控制[J]. 兵工学报, 2018, 39(3): 485-493.

XIA Chuan, DONG Chao-yang, CHENG Hao-yu, WANG Qing, WANG Zhao-lei. Finite-time H_∞ Tracking Control for Switched Morphing Aircraft[J]. Acta Armamentarii, 2018, 39(3): 485-493.

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第39卷
第3期2018 年3月兵工学报ACTA
ARMAMENTARIIVol.39No.3Mar.2018

变体飞行器有限时间切换H_∞跟踪控制

Finite-time H_∞ Tracking Control for Switched Morphing Aircraft

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变体飞行器有限时间切换H∞跟踪控制

Finite-time H∞ Tracking Control for Switched Morphing Aircraft

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变体飞行器有限时间切换H_∞跟踪控制

Finite-time H_∞ Tracking Control for Switched Morphing Aircraft