Adaptive State Feedback Control of Nonlinear Switched Singular Systems

被引：0
|
作者：
Yang D.-M. [1 ]
Chen J.-Y. [1 ]
机构：
[1] School of Sciences, Northeastern University, Shenyang
来源：
Dongbei Daxue Xuebao/Journal of Northeastern University | 2019年 / 40卷 / 06期
关键词：
Adaptive control; Lipschitz condition; Nonlinear switched singular system; Stability; Tracking error;
D O I：
10.12068/j.issn.1005-3026.2019.06.001
中图分类号：
学科分类号：
摘要：
The design of adaptive control for a class of nonlinear singular switched systems satisfying the Lipschitz condition was studied. First, the design of the basic adaptive control of a single input nonlinear singular switching system was studied. The controller was designed to stabilize the system. Then, the adaptive gain and the gain adjustment based on the Lyapunov stability theorem presented by the single input nonlinear singular switching system were used to expand the tracking problem of multi-input singular switching systems and an adaptive control method was designed. Finally, a numerical simulation was performed using Matlab to illustrate the effectiveness of the proposed control method. The proposed controller has a very simple structure and is easy to be applied in practice. © 2019, Editorial Department of Journal of Northeastern University. All right reserved.
引用
收藏
页码：761 / 765
页数：4
相关论文
共 10 条
  • [1] Antsaklis P.J., Nerode A., Hybrid control systems: an introductory discussion to the special issue, IEEE Transactions on Automatic Control, 43, 4, pp. 457-460, (1998)
  • [2] Zhang L., Yang H., Jing Y.-W., Adaptive robust tracking control for a class of uncertain switched fuzzy systems, Journal of Northeastern University(Natural Science), 29, 8, pp. 1073-1076, (2008)
  • [3] Narendra K.S., Balakrishnan J., Adaptive control using multiple modes, IEEE Transactions on Automatic Control, 42, 2, pp. 171-187, (1997)
  • [4] Zhao J., Spong M.W., Hybrid control for global stabilization of the cart-pendulum system, Automatica, 37, 12, pp. 1941-1951, (2001)
  • [5] Wang Q., Hou Y.Z., Dong C.Y., Model reference robust adaptive control for a class of uncertain switched linear systems, International Journal of Robust and Nonlinear, 22, 9, pp. 1019-1035, (2012)
  • [6] Wu J.L., Stabilizing controllers design for switched nonlinear systems in strict-feedback form, Automatica, 45, 5, pp. 1092-1096, (2009)
  • [7] Wang Z.P., Ge S.S., Lee T.H., Robust adaptive neural network control of uncertain nonholonomic systems with strong nonlinear drifts, IEEE Transactions on Systems, Man, and Cybernetics, 34, 5, pp. 2048-2059, (2004)
  • [8] Zhang Y., Zheng Y., Zhao F., Dynamical analysis in a stochastic bioeconomic model with stage-structuring, Nonlinear Dynamics, 84, 2, pp. 1113-1121, (2016)
  • [9] Efimov D.V., Switching adaptive control of affine nonlinear system, European Control Conference, pp. 1513-1518, (2015)
  • [10] Hu Q., Fei Q., Ma H.B., Et al., Switching control system based on robust model reference adaptive control, Journal of Systems Science, 29, 4, pp. 1-36, (2016)
1