Functional observer design for one-sided Lipschitz nonlinear systems with time-delay

被引：0
|
作者：
Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua [1 ]
321004, China
机构：
[1] Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua
来源：
Kongzhi yu Juece Control Decis | / 12卷 / 2259-2264期
关键词：
Functional observer; Linear matrix inequality; Lyapunov-Krasovskii functional; One-sided Lipschitz; Time-delay systems;
D O I：
10.13195/j.kzyjc.2014.1705
中图分类号：
学科分类号：
摘要：
Based on the linear matrix inequality (LMI) theory, a functional observer design for one-sided Lipschitz nonlinear systems with time-delay is considered. Sufficient conditions of existence for gain matrices are given by choosing a suitable Lyapunov-Krasovskii functional. A systematic design method is presented for the gain matrices of functional observer. An example is provided to illurstrate the effectiveness of the functional observer design. © 2015, Northeast University. All right reserved.
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页码：2259 / 2264
页数：5
相关论文
共 13 条
  • [1] Arcak M., Kokotovic P., Observer-based control of systems with slope-restricted nonlinearities, IEEE Trans on Automatic Control, 46, 7, pp. 1146-1151, (2001)
  • [2] Ma K., Ma P., Novel observer design method for Lipschitz nonlinear systems, Control Theory & Applications, 20, 4, pp. 644-646, (2003)
  • [3] Hairer E., Norsett S.P., Wanner G., Solving Ordinary Differential Equations II: Stiff and DAE Problems, pp. 56-62, (1993)
  • [4] Hu G., Observers for one-sided lipschitz non-linear systems, IMA J of Mathematical Control and Information, 23, 4, pp. 395-401, (2006)
  • [5] Xu M., Hu G., Zhao Y., Reduced-order observer design for one-sided Lipschitz nonlinear systems, IMA J of Mathematical Control and Information, 26, 3, pp. 299-317, (2009)
  • [6] Zhao Y., Tao J., Shi N.Z., A note on observer design for one-sided Lipschitz nonlinear systems, Systems & Control Letters, 59, 1, pp. 66-71, (2010)
  • [7] Abbaszadeh M., Marquez H.J., Nonlinear observer design for one-sided Lipschitz systems, Proc of the American Control Conference, pp. 5285-5289, (2010)
  • [8] Zhang W., Su H., Liang Y., Et al., Nonlinear observer design for one-sided Lipschitz systems: An linear matrix inequality approach, IET Control Theory and Applications, 6, pp. 1297-1303, (2012)
  • [9] Zhang W., Su H.S., Wang H.W., Et al., Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations, Communications in Nonlinear Science and Numerical Simulation, 349, 10, pp. 4968-4977, (2012)
  • [10] Gao H., Cai X.S., Functional observer design for a class of nonlnear systems, Control Theory & Applications, 30, 9, pp. 1207-1210, (2013)
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