Robust control for a class of time-delay uncertain nonlinear systems based on sliding mode observer

In this paper, a robust control scheme is proposed for a class of time-delay uncertain nonlinear systems with unknown input using the sliding mode observer. The sliding mode state observer is given with radial basis function neural networks, and then the robust control scheme is presented based on the designed sliding mode observer. The developed observer-based control scheme consists of two parts. One term is a linear controller and the other term is a neural network controller. Using the Lyapunov method, a criterion for bounded stability of the closed-loop system is developed in terms of linear matrix inequalities. Finally, a simulation example is used to illustrate the effectiveness of the proposed robust control scheme.

[1]  Wang Zicai.  Observer Design for a Class of Nonlinear Systems , 1998 .

[2]  A. J. Koshkouei,et al.  Sliding mode observers for a class of nonlinear systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[3]  Shuzhi Sam Ge,et al.  Adaptive neural control of uncertain MIMO nonlinear systems , 2004, IEEE Transactions on Neural Networks.

[4]  Chen-Chung Liu,et al.  ADAPTIVE CONTROL OF NONLINEAR CONTINUOUS-TIME SYSTEMS USING NEURAL NETWORKS - GENERAL RELATIVE DEGREE AND MIMO CASES , 1993 .

[5]  Mou Chen.  ROBUST ADAPTIVE CONTROL OF TIME DELAY UNCERTAIN SYSTEMS WITH FLS , 2008 .

[6]  Petros A. Ioannou,et al.  Robust adaptive control for a class of MIMO nonlinear systems with guaranteed error bounds , 2003, IEEE Trans. Autom. Control..

[7]  Tsung-Chih Lin,et al.  Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear dynamical systems , 2002, IEEE Trans. Fuzzy Syst..

[8]  Hong Wang,et al.  A direct adaptive neural-network control for unknown nonlinear systems and its application , 1998, IEEE Trans. Neural Networks.

[9]  Sing Kiong Nguang,et al.  Robust stabilization of a class of time-delay nonlinear systems , 2000, IEEE Trans. Autom. Control..

[10]  Ju H. Park,et al.  On the design of observer-based controller of linear neutral delay-differential systems , 2004, Appl. Math. Comput..

[11]  H. Choi,et al.  LMI-based sliding-mode observer design method , 2005 .

[12]  Bongsob Song,et al.  Observer-based dynamic surface control for a class of nonlinear systems: an LMI approach , 2004, IEEE Transactions on Automatic Control.

[13]  Mou Chen,et al.  Sensor fault diagnosis for a class of time delay uncertain nonlinear systems using neural network , 2008, Int. J. Autom. Comput..

[14]  Christopher Edwards,et al.  Sliding mode observers for detection and reconstruction of sensor faults , 2002, Autom..

[15]  H. Unbehauen,et al.  Robust H∞ observer design of linear time-delay systems with parametric uncertainty , 2001 .

[16]  Shuzhi Sam Ge,et al.  Adaptive neural network control of nonlinear systems with unknown time delays , 2003, IEEE Trans. Autom. Control..

[17]  Yi Xiong,et al.  Sliding mode observer for nonlinear uncertain systems , 2001, IEEE Trans. Autom. Control..

[18]  Chee Pin Tan,et al.  Sliding mode observers for fault detection and isolation , 2002 .

[19]  Jiang Bin,et al.  Sliding mode synchronization controller design with neural network for uncertain chaotic systems , 2009 .

[20]  Wen-Hua Chen,et al.  Sliding mode control for a class of uncertain nonlinear system based on disturbance observer , 2009 .

[21]  Fu-Chuang Chen,et al.  Adaptive control of non-linear continuous-time systems using neural networks—general relative degree and MIMO cases , 1993 .

[22]  F. Hsiao,et al.  Stabilization of Nonlinear Singularly Perturbed Multiple Time-Delay Systems by Dither , 1996 .