一类具有输入量化和未知扰动的非线性系统的自适应有限时间动态面控制
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TP273.4

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国家自然科学基金青年基金(61803208);江苏省自然科学基金青年基金(BK20180726);江苏省高校自然科学研究面上项目(18KJB120005)


Adaptive finite-time dynamic surface control for nonlinear systems with input quantization and unknown disturbances
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    摘要:

    本文研究了具有量化输入信号和未知扰动的非线性系统的有限时间自适应输出反馈动态面控制问题.在控制设计过程中,利用模糊逻辑系统对系统中的非线性项进行逼近.然后引入一种滞回量化器来避免量化信号中的抖振,并且构造模糊观测器来估计系统中不可测的状态.为了提出一种有限时间控制策略,首先给出了半全局实际有限时间稳定的判据.在此基础上,将动态面控制技术与反步法相结合,设计了自适应模糊控制器.该控制器不仅能保证跟踪误差在有限时间内收敛到原点的一个小邻域,而且可以保证闭环系统中所有信号的有界性.最后通过一个仿真实例验证了该控制方法的有效性和可行性.

    Abstract:

    In this paper,the problem of finite-time adaptive output feedback dynamic surface control is studied for a class of nonlinear systems with quantized input signals and unknown disturbances.In the control design process,the nonlinear terms in the system are approximated by the fuzzy logic systems.A hysteretic quantizer is introduced to avoid chattering in the quantized signals,and the fuzzy state observer is constructed to estimate the unmeasurable states of the system.In order to propose the finite-time control strategy,firstly,a semi-global practical finite-time stability criterion is given.On this basis,an adaptive fuzzy controller is designed by combining the dynamic surface control technology with backstepping method.The controller can not only ensure that the observer and tracking error converge to a small neighborhood of the origin in a finite time,but also keep all the signals in the closed-loop system bounded.Finally,a simulation example is given to verify the effectiveness and feasibility of the control method.

    参考文献
    [1] 李刚,苗国英,张静怡.基于观测器的多智能体系统的自适应一致性控制[J].南京信息工程大学学报(自然科学版),2019,11(4):373-379 LI Gang,MIAO Guoying,ZHANG Jingyi.Observer-based adaptive consensus control for multi-agent systems[J].Journal of Nanjing University of Information Science & Technology (Natural Science Edition),2019,11(4):373-379
    [2] 高志峰,韩冰,钱默抒,等.考虑传感器故障的柔性航天器自适应积分滑模主动容错控制[J].南京信息工程大学学报(自然科学版),2018,10(2):146-152 GAO Zhifeng,HAN Bing,QIAN Moshu,et al.Active fault tolerant control for flexible spacecraft with sensor faults based on adaptive integral sliding mode[J].Journal of Nanjing University of Information Science & Technology (Natural Science Edition),2018,10(2):146-152
    [3] Li Y M,Tong S C.Adaptive fuzzy output-feedback control of pure-feedback uncertain nonlinear systems with unknown dead zone[J].IEEE Transactions on Fuzzy Systems,2014,22(5):1341-1347
    [4] Zhou Q,Wang L,Wu C,et al.Adaptive fuzzy control for nonstrict-feedback systems with input saturation and output constraint[J].IEEE Transactions on Systems,Man,and Cybernetics:Systems,2017,47(1):1-12
    [5] Esfandiari K,Abdollahi F,Talebi H A.Adaptive control of uncertain nonaffine nonlinear systems with input saturation using neural networks[J].IEEE Transactions on Neural Networks and Learning Systems,2015,26(10):2311-2322
    [6] Chen C L P,Liu Y J,Wen G X.Fuzzy neural network-based adaptive control for a class of uncertain nonlinear stochastic systems[J].IEEE Transactions on Cybernetics,2014,44(5):583-593
    [7] Liu Z,Wang F,Zhang Y,et al.Fuzzy adaptive quantized control for a class of stochastic nonlinear uncertain systems[J].IEEE Transactions on Cybernetics,2016,46(2):524-534
    [8] Wen Y T,Ren X M.Neural networks-based adaptive control for nonlinear time-varying delays systems with unknown control direction[J].IEEE Transactions on Neural Networks,2011,22(10):1599-1612
    [9] Wang F,Chen B,Lin C,et al.Adaptive neural network finite-time output feedback control of quantized nonlinear systems[J].IEEE Transactions on Cybernetics,2018,48(6):1839-1848
    [10] 马敏,王桐,邱剑彬.含有执行器故障的非线性切换互联大系统的自适应模糊Backstepping容错控制[J].南京信息工程大学学报(自然科学版),2018,10(6):665-675 MA Min,WANG Tong,QIU Jianbin.Adaptive fuzzy backstepping fault-tolerant control for nonlinear large-scale interconnected switched systems with actuator failures[J].Journal of Nanjing University of Information Science & Technology (Natural Science Edition),2018,10(6):665-675
    [11] Liu W H,Lim C C,Shi P,et al.Backstepping fuzzy adaptive control for a class of quantized nonlinear systems[J].IEEE Transactions on Fuzzy Systems,2017,25(5):1090-1101
    [12] Li D P,Liu Y J,Tong S C,et al.Neural networks-based adaptive control for nonlinear state constrained systems with input delay[J].IEEE Transactions on Cybernetics,2019,49(4):1249-1258
    [13] Xu B,Shi Z K,Yang C G,et al.Composite neural dynamic surface control of a class of uncertain nonlinear systems in strict-feedback form[J].IEEE Transactions on Cybernetics,2014,44(12):2626-2634
    [14] Tong S C,Li Y M.Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones[J].IEEE Transactions on Fuzzy Systems,2012,20(1):168-180
    [15] Wang M,Liu X P,Shi P.Adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique[J].IEEE Transactions on Systems,Man,and Cybernetics,Part B (Cybernetics),2011,41(6):1681-1692
    [16] Zhang T P,Wen H,Zhu Q.Adaptive fuzzy control of nonlinear systems in pure feedback form based on input-to-state stability[J].IEEE Transactions on Fuzzy Systems,2010,18(1):80-93
    [17] Chen B,Lin C,Liu X P,et al.Adaptive fuzzy tracking control for a class of MIMO nonlinear systems in nonstrict-feedback form[J].IEEE Transactions on Cybernetics,2015,45(12):2744-2755
    [18] Yu Z X,Li S G,Li F F.Observer-based adaptive neural dynamic surface control for a class of non-strict-feedback stochastic nonlinear systems[J].International Journal of Systems Science,2016,47(1):194-208
    [19] Liu T F,Jiang Z P,Hill D J.A sector bound approach to feedback control of nonlinear systems with state quantization[J].Automatica,2012,48(1):145-152
    [20] Li F B,Shi P,Wu L G,et al.Quantized control design for cognitive radio networks modeled as nonlinear semi-Markovian jump systems[J].IEEE Transactions on Industrial Electronics,2015,62(4):2330-2340
    [21] Liu W H,Lim C C,Shi P,et al.Observer-based tracking control for MIMO pure-feedback nonlinear systems with time-delay and input quantisation[J].International Journal of Control,2017,90(11):2433-2448
    [22] Elia N,Mitter S K.Stabilization of linear systems with limited information[J].IEEE Transactions on Automatic Control,2001,46(9):1384-1400
    [23] Wang M,Liu X,Shi P.Adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique[J].IEEE Transactions on Systems,Man,and Cybernetics,Part B (Cybernetics),2011,41(6):1681-1692
    [24] Xu B,Shi Z,Yang C,Sun F.Composite neural dynamic surface control of a class of uncertain nonlinear systems in strict-feedback form[J].IEEE Transactions on Cybernetics,2014,44(12):2626-2634
    [25] Shen Q K,Jiang B,Cocquempot V.Adaptive fuzzy observer-based active fault-tolerant dynamic surface control for a class of nonlinear systems with actuator faults[J].IEEE Transactions on Fuzzy Systems,2014,22(2):338-349
    [26] Li Y M,Tong S C,Liu L,et al.Adaptive output-feedback control design with prescribed performance for switched nonlinear systems[J].Automatica,2017,80:225-231
    [27] Yu Z,Li S,Li F.Observer-based adaptive neural dynamic surface control for a class of non-strict-feedback stochastic nonlinear systems[J].International Journal of Systems Science,2016,47(1):194-208
    [28] Yoo S J.Adaptive tracking control for uncertain switched nonlinear systems in nonstrict-feedback form[J].Journal of the Franklin Institute,2016,353(6):1409-1422
    [29] Yu J,Zhao L,Yu H,et al.Fuzzy finite-time command filtered control of nonlinear systems with input saturation[J].IEEE Transactions on Cybernetics,2018,48(8):2378-2387
    [30] Wang F,Chen B,Liu X P,et al.Finite-time adaptive fuzzy tracking control design for nonlinear systems[J].IEEE Transactions on Fuzzy Systems,2018,26(3):1207-1216
    [31] Liu L,Liu Y J,Tong S C.Neural networks-based adaptive finite-time fault-tolerant control for a class of strict-feedback switched nonlinear systems[J].IEEE Transactions on Cybernetics,2019,49(7):2536-2545
    [32] Li Y M,Li K W,Tong S C.Finite-time adaptive fuzzy output feedback dynamic surface control for MIMO nonstrict feedback systems[J].IEEE Transactions on Fuzzy Systems,2019,27(1):96-110
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齐晓静,刘文慧.一类具有输入量化和未知扰动的非线性系统的自适应有限时间动态面控制[J].南京信息工程大学学报(自然科学版),2020,12(3):330-340
QI Xiaojing, LIU Wenhui. Adaptive finite-time dynamic surface control for nonlinear systems with input quantization and unknown disturbances[J]. Journal of Nanjing University of Information Science & Technology, 2020,12(3):330-340

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  • 收稿日期:2019-12-24
  • 在线发布日期: 2020-07-07

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