Adaptive fuzzy control for uncertain interconnected time-delay systems

In this paper, the problem of control for a class of uncertain interconnected time-delay systems is studied. The interconnections of the system possess time-varying delay characteristics, and the bounds of uncertainties are not precisely known. A decentralized adaptive feedback controller is designed, which is independent of the delays. Lyapunov-Krasovskii approach is employed to show that the corresponding closed-loop system is asymptotically stable. A simulation example is given to demonstrate the potential of the proposed techniques.

[1]  Changchun Hua,et al.  Robust stabilization of uncertain dynamic time-delay systems with unknown bounds of uncertainties , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[2]  Peng Shi,et al.  Hinfinitycontrol of interconnected nonlinear sampled-data systems with parametric uncertainty , 1997, Int. J. Syst. Sci..

[3]  Lihua Xie,et al.  Stabilization of a class of uncertain large-scale stochastic systems with time delays , 2000, Autom..

[4]  Tong Shaocheng,et al.  Fuzzy indirect adaptive control for a class of decentralized nonlinear systems , 1998 .

[5]  Guang-Ren Duan,et al.  Variable structure adaptive fuzzy control for a class of nonlinear time delay systems , 2004, Proceedings of the 2004 American Control Conference.

[6]  Hansheng Wu,et al.  Decentralized adaptive robust control for a class of large-scale systems including delayed state perturbations in the interconnections , 2002, IEEE Trans. Autom. Control..

[7]  Kou-Cheng Hsu Decentralized Sliding Mode Control for Large-Scale Time-Delayed Systems With Series Nonlinearities , 1999 .

[8]  Magdi S. Mahmoud,et al.  Robust stability, stabilization and H-infinity control of time-delay systems with Markovian jump parameters , 2003 .

[9]  Peng Shi,et al.  Robust stabilization of a class of nonlinear time-delay systems , 2004, Appl. Math. Comput..

[10]  Peng Shi,et al.  Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay , 1999, IEEE Trans. Autom. Control..

[11]  Xinping Guan,et al.  Robust optimal guaranteed cost control for 2D discrete systems , 2001 .

[12]  P. Shi Filtering on sampled-data systems with parametric uncertainty , 1998, IEEE Trans. Autom. Control..

[13]  Erik I. Verriest,et al.  Stability and Control of Time-delay Systems , 1998 .

[14]  Magdi S. Mahmoud,et al.  Robust Design of Stabilizing Controllers for Interconnected Time-delay Systems , 1998, Autom..

[15]  Shaocheng Tong,et al.  Adaptive fuzzy decentralized control fora class of large-scale nonlinear systems , 2004, IEEE Trans. Syst. Man Cybern. Part B.

[16]  Said Oucheriah,et al.  Decentralized stabilization of large scale systems with multiple delays in the interconnections , 2000 .

[17]  Lihua Xie,et al.  Robust Filtering for Interconnected Uncertain Systems Under Sampled Measurements , 1997 .

[18]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control - design and stability analysis , 1994 .

[19]  Tian-Ping Zhang Stable adaptive fuzzy sliding mode control of interconnected systems , 2001, Fuzzy Sets Syst..

[20]  M. Mahmoud,et al.  Robust Kalman filtering for continuous time-lag systems with Markovian jump parameters , 2003 .