Discussions on Existence of Observers and Reduced-order Observer Design for Discrete-time Switched Systems

被引：0
|
作者：
Zhu F.-L. [1 ]
Cai M. [1 ]
Guo S.-H. [1 ,2 ]
机构：
[1] College of Electronics and Information Engineering, Tongji University, Shanghai
[2] College of Electrical Engineering and Automation, Suzhou University of Science and Technology, Suzhou
来源：
Zhu, Fang-Lai (zhufanglai@tongji.edu.cn) | 1600年 / Science Press卷 / 43期
基金：
中国国家自然科学基金;
关键词：
Discrete-time system; Observer matching condition; Switched system; Unknown input estimation;
D O I：
10.16383/j.aas.2017.c160471
中图分类号：
学科分类号：
摘要：
The paper discusses the unknown input observer (UIO) design issue for discrete-time switched systems with unknown inputs. First, a Lyapunov-type equivalent representation of observer matching condition for a general discrete-time system is given and proved. Then, based on the stability theory of discrete-time switched system without unknown inputs, a reduced-order observer is developed for a discrete-time switched system with unknown inputs. The reduced-order observer can eliminate the influences of the unknown inputs directly because of the special selection of the observer gain matrix determined by matrix block computation. Meanwhile, an algebraic unknown input reconstruction method is proposed. Finally, a simulation example is given to verify the correctness and effectiveness of the proposed methods. Copyright © 2017 Acta Automatica Sinica. All rights reserved.
引用
收藏
页码：2091 / 2099
页数：8
相关论文
共 25 条
  • [1] Wang S.H., Wang E., Dorato P., Observing the states of systems with unmeasurable disturbance, IEEE Transactions on Automatic Control, 20, 5, pp. 716-717, (1975)
  • [2] Bhattacharyya S., Observer design for linear systems with unknown inputs, IEEE Transactions on Automatic Control, 23, 3, pp. 483-484, (1978)
  • [3] Corless M., Tu J., State and input estimation for a class of uncertain systems, Automatica, 34, 6, pp. 757-764, (1998)
  • [4] Charandabi B.A., Marquez H.J., A novel approach to unknown input filter design for discrete-time linear systems, Automatica, 50, 11, pp. 2835-2839, (2014)
  • [5] Yang J.-Q., Chen Y.-T., Zhu F.-L., Bu X.-H., State and unknown input estimations for uncertain switched linear systems, Control and Decision, 30, 12, pp. 2247-2252, (2015)
  • [6] Guo S.H., Zhu F.L., Xu L.Y., Unknown input observer design for Takagi-Sugeno fuzzy stochastic system, International Journal of Control, Automation and Systems, 13, 4, pp. 1003-1009, (2015)
  • [7] Yang J.Q., Zhu F.L., Yu K.J., Bu X.H., Observer-based state estimation and unknown input reconstruction for nonlinear complex dynamical systems, Communications in Nonlinear Science and Numerical Simulation, 20, 3, pp. 927-939, (2015)
  • [8] Chadli M., Karimi H.R., Robust observer design for unknown inputs Takagi-Sugeno models, IEEE Transactions on Fuzzy Systems, 21, 1, pp. 158-164, (2013)
  • [9] Lee D.J., Park Y., Park Y.S., Robust H<sub>∞</sub> sliding mode descriptor observer for fault and output disturbance estimation of uncertain systems, IEEE Transactions on Automatic Control, 57, 11, pp. 2928-2934, (2012)
  • [10] Gupta M.K., Tomar N.K., Bhaumik S., Full- and reduced-order observer design for rectangular descriptor systems with unknown inputs, Journal of the Franklin Institute, 352, 3, pp. 1250-1264, (2015)
123