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变体飞行器有限时间切换H∞跟踪控制
引用本文: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.
作者姓名:夏川  董朝阳  程昊宇  王青  王昭磊
作者单位:北京航空航天大学航空科学与工程学院,北京,100191;西北工业大学航天学院,陕西西安,710072;北京航空航天大学自动化科学与电气工程学院,北京,100191;北京航天自动控制研究所,北京,100854
基金项目:国家自然科学基金项目(61374012),航空科学基金项目(2016ZA51011)
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
收稿时间:2017-07-11

Finite-time H∞ Tracking Control for Switched Morphing Aircraft
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.
Authors:XIA Chuan  DONG Chao-yang  CHENG Hao-yu  WANG Qing  WANG Zhao-lei
Affiliation:(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)
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.
Keywords:morphing aircraft  switched linear parameter-varying  finite-time boundness  Htracking control  mode-dependent average dwell time  
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