一类不确定非线性系统的有限时间输出调节方法

针对一类外系统是中性稳定的不确定非线性系统的输出调节问题,提出一种有限时间收敛的输出调节器的设计方法。该方法结合内模原理和有限时间稳定性理论,先根据输出调节问题可解的必要条件,将原受控系统和外系统的输出调节问题转化为增广系统的镇定问题;再利用动态面技术设计一种鲁棒有限时间稳定的镇定器,从而保证闭环系统的信号是全局最终有界的,并且使调节误差在有限的时间内收敛至任意给定的范围内。仿真结果说明了所设计调节器的有效性和可行性。...

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Bibliographic Details
Published in电机与控制学报 Vol. 21; no. 10; pp. 108 - 115
Main Author 刘海涛 田雪虹 俞国燕 王贵 刘焕牢
Format Journal Article
LanguageChinese
Published 广东海洋大学 机械与动力工程学院,广东 湛江,524088 2017
Subjects
内模
动态面
有限时间稳定
输出调节
非线性系统
dynamic surface
nonlinear systems
finite-time stability
非线性系统
output regulation
内模
有限时间稳定
internal model
动态面
输出调节
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ISSN1007-449X
DOI10.15938/j.emc.2017.10.015

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Summary:针对一类外系统是中性稳定的不确定非线性系统的输出调节问题,提出一种有限时间收敛的输出调节器的设计方法。该方法结合内模原理和有限时间稳定性理论,先根据输出调节问题可解的必要条件,将原受控系统和外系统的输出调节问题转化为增广系统的镇定问题;再利用动态面技术设计一种鲁棒有限时间稳定的镇定器,从而保证闭环系统的信号是全局最终有界的,并且使调节误差在有限的时间内收敛至任意给定的范围内。仿真结果说明了所设计调节器的有效性和可行性。
Bibliography:23-1408/TM
nonlinear systems ; finite-time stability ; output regulation ; internal model ; dynamic surface
To solve an output regulation problem of a class of uncertain nonlinear systems driven by a line- ar neutrally stable exosystem, a finite-time convergent output regulator design method is proposed. Ac- cording to the design, the internal model principle was combined with finite-time stability theorem. First- ly, based on necessary conditions of output regulation problem, the output regulation problem of the given plant and exosystem was transferred to a robust stabilization problem for the so-called augmented system. Secondly, a robust finite-time stable controller was designed by using the dynamic surface technique, which guaranteed all the closed-loop signals to be bounded and regulation errors to converge to an any given range in finite time. Simulation results show that the proposed regulator is effective and feasible.
LIU Hai-tao, TIAN Xue-hong, YU Guo-yan, WANG Gui, LIU Huan-lao （School of Mechanical
ISSN:1007-449X
DOI:10.15938/j.emc.2017.10.015