Adaptive neural network output-feedback stabilization for a class of stochastic nonlinear strict-feedback systems

被引：2
|
作者：
Li J. [1 ]
Li J.-M. [1 ]
Chen W.-S. [1 ]
机构：
[1] School of Science, Xidian University
来源：
Zidonghua Xuebao/ Acta Automatica Sinica | 2010年 / 36卷 / 03期
关键词：
Adaptive backstepping; Neural network (NN); Nonlinear observer; Output-feedback stabilization; Stochastic nonlinear strict-feedback systems;
D O I：
10.3724/SP.J.1004.2010.00450
中图分类号：
学科分类号：
摘要：
Neural network (NN) control scheme is first introduced into a class of stochastic nonlinear strict-feedback systems. Based on the well known backstepping method and the technique of nonlinear observer design, a suitable stochastic control Lyapunov function is then proposed to construct an adaptive neural network output-feedback controller. Under some conditions, it is shown that the equilibrium of the closed-loop system is stable in probability. A simulation example is given to illustrate the effectiveness of the proposed control scheme. © 2010 Acta Automatica Sinica.
引用
收藏
页码：450 / 453
页数：3
相关论文
共 13 条
  • [1] Krstic M., Kanellakopoulos I., Kokotovic P.V., Nonlinear and Adaptive Control Design, (1995)
  • [2] Zhao P., Liu S.-J., Adaptive stabilization control of a class of large-scale stochastic nonlinear systems with time-delays and unknown virtual control coefficients, Acta Automatica Sinica, 34, 8, pp. 912-920, (2008)
  • [3] Liu S.J., Jiang Z.P., Zhang J.F., Globally output-feedback stabilization for a class of stochastic non-minmum-phase nonlinear systems, Automatica, 44, 2, pp. 1944-1957, (2008)
  • [4] Liu S.J., Zhang J.F., Output-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states, International Journal of Robust and Nonlinear Control, 18, 6, pp. 665-687, (2008)
  • [5] Pan Z.G., Basar T., Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion, SIAM Journal on Control and Optimization, 37, 3, pp. 957-995, (1999)
  • [6] Liu Y.G., Pan Z.G., Shi S.J., Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost, IEEE Transactions on Automatic Control, 48, 3, pp. 509-513, (2003)
  • [7] Xie X.J., Tian J., Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization, Automatica, 45, 1, pp. 126-133, (2009)
  • [8] Krstic M., Deng H., Stabilitization of Nonlinear Uncertain Systems, (1998)
  • [9] Polycarpou M.M., Mears M.J., Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators, International Journal of Control, 70, 3, pp. 363-384, (1998)
  • [10] Chen W., Adaptive NN control for discrete-time purefeedback systems with unknown control direction under amplitude and rate actuator constraints, ISA Transactions, 48, 3, pp. 304-311, (2009)
12