Observer-based adaptive control for uncertain time-delay systems

In this paper, we will focus on investigating the observer-based controlling problem of time-delay systems. First, we investigate a class of simple time-delay systems. The corresponding adaptive observer and controller are designed, which are both independent of the time-delays. Based on Lyapunov stability theory, we prove that the closed-loop system is asymptotically stable. Next we further consider the interconnected time-delay system case. The corresponding adaptive observer and controller are designed, we prove that the resulting closed-loop system is also asymptotically stable. Simulations on controlling time-delay systems and interconnected systems are investigated, and the results show that the designed controllers are feasible and efficient.

[1]  C. D. Souza,et al.  Robust exponential stability of uncertain systems with time-varying delays , 1998, IEEE Trans. Autom. Control..

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

[3]  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..

[4]  S. Gutman,et al.  Stabilization of uncertain dynamic systems including state delay , 1989 .

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

[6]  Chong-Ho Choi,et al.  Adaptive regulation for a class of uncertain systems with partial knowledge of uncertainty bounds , 1993, IEEE Trans. Autom. Control..

[7]  Said Oucheriah.  Adaptive Control of a Class of Uncertain Dynamic Delay Systems , 1999 .

[8]  Hansheng Wu,et al.  Adaptive stabilizing state feedback controllers of uncertain dynamical systems with multiple time delays , 2000, IEEE Trans. Autom. Control..

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

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

[11]  Youyi Wang,et al.  Robust control design for interconnected uncertain dynamical systems under sampled measurements , 1997 .

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

[13]  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).

[14]  P. Shi,et al.  Stabilization of Discrete Time-delay Systems with Parametric Uncertainty , 2002 .

[15]  Xinping Guan,et al.  OBSERVER-BASED ROBUST H1 CONTROL FOR UNCERTAIN TIME-DELAY SYSTEMS , 2003 .

[16]  Xinping Guan,et al.  Observer-based robust H ∞ , control for uncertain time-delay systems , 2003 .