有未知延迟的下三角系统的输出反馈控制Output feedback regulation of lower triangular system with unknown time-varying delays
毕卫平,高璐璐
Bi Weiping,Gao Lulu
摘要(Abstract):
主要研究状态和输入都有未知时变延迟的下三角系统的输出反馈控制.关于延迟仅规定它是有界的,但它的边界和时变率是未知的.针对要研究的系统,首先提出一个新的自适应输出反馈控制器;然后,为了处理有未知时变的状态,给出了一个新的变换和技术;最后,说明在所给的输出反馈控制器下所研究的系统是全局可控的.仿真结果说明了控制器的有效性.
The output feedback control of a lower triangular system with unknown time-varying delays in both states and input have been studied in this paper.The time-varying delays are only known to be bounded,and their bounds and time-varying rates are unknown.First,a newly designed adaptive output feedback controller is proposed in this note.Then,in order to deal with new phenomena associated with unknown time-varying delays in states,we give a new transformation and techniques.Finally,the system is globally regulated by the output feedback controller.A simulation example shows the effectiveness of the controller.
关键词(KeyWords):
延迟;自适应;输出反馈控制器;下三角系统;全局控制
time-varying delays;adaptive;output feedback controller;lower triangular system;globally regulation
基金项目(Foundation): 国家自然科学基金联合基金(U1504620)
作者(Author):
毕卫平,高璐璐
Bi Weiping,Gao Lulu
DOI: 10.16366/j.cnki.1000-2367.2018.02.002
参考文献(References):
- [1]何思谦.数学辞海[M].太原:山西教育出版社,2002.
- [2]Choi H L,Lim J T.Stabilization of a chain of integrators with an unknown delay in the input by adaptive output feedback[J].IEEE Transactions on Automatic Control,2006,51:1359-1363.
- [3]Mazenc F,MondiéS,Niculescu S.Global asymptotic stabilization for chains of integrators with a delay in the input[J].IEEE Transactions on Automatic Control,2003,48(1):57-63.
- [4]关琳燕,周洪,胡文山.基于Hamilton理论的广域非线性时滞多机电力系统的稳定与控制[J].电力系统保护与控制,2016,44(19):17-24.
- [5]Choi H L,Lim J T.Output feedback regulation of a chain of integrators with an unknown time-varying delay in the input[J].IEEE Transactions on Automatic Control,2010,55(1):263-268.
- [6]Karafyllis I.Finite-time global stabilization by means of time-varying distributed delay feedback[J].SIAM Journal on Control and Optimization,2006,45(1):320-342.
- [7]Zhou B,Li Z Y,Zheng W X,et al.Stabilization of some linear systems with both state and input delays[J].Systems&Control Letters,2012,61(10):989-998.
- [8]薛春善,童艳春,王岩岩,等.不确定离散系统量化反馈镇定[J].河南师范大学学报(自然科学版),2016,44(2):34-39.
- [9]高兴泉,胡云峰.带有时域硬约束的不确定系统最优保代价控制[J].河南师范大学学报(自然科学版),2016,44(1):25-30.
- [10]Bekiaris-Liberis N,Krstic M.Stabilization of linear strict-feedback systems with delayed integrators[J].Automatica,2010,46:1902-1910.
- [11]Zhang X F,Liu L,Feng G,et al.Output feedback control of large-scale nonlinear systems in lower triangular form[J].Automatica,2013,49:3476-3483.
- [12]Krstic M.Lyapunov stability of linear predictor feedback for time-varying input delay[J].IEEE Transactions on Automatic Control,2010,55(2):554-559.
- [13]Yakoubi K,Chitour Y.Linear systems subject to input saturation and time delay:global asymptotic stabilization[J].IEEE Transactions on Automatic Control,2007,52(5):874-879.
- [14]Bresch-Pietri D,Chauvbin J,Petit N.Adaptive control scheme for uncertain time-delay systems[J].Automatica,2012,48(8):1536-1552.
- [15]Polyakov A,Efimov D,Perruquetti W,et al.Output stabilization of time-varying input delay systems using interval observation technique[J].Automatica,2013,49(11):3402-3410.
- [16]Lei H,Lin W.Adaptive regulation of uncertain nonlinear systems by output feedback:A universal control approach[J].Systems and Control Letters,2007,56:529-537.
- [17]Koo M S,Choi H L,Lim J T.Global regulation of a class of feedforward and non-feedforward nonlinear systems with a delay in the input[J].Automatica,2012,48:2607-2613.
- [18]Hale J K,Verduyn Lunel S M.Introduction to Functional Differential Equations[M].New York:Springer Verlag,1993.
- 延迟
- 自适应
- 输出反馈控制器
- 下三角系统
- 全局控制
time-varying delays - adaptive
- output feedback controller
- lower triangular system
- globally regulation