Adaptive Tracking Controller Design of Nonlinear Systems With Time Delays and Unknown Dead-Zone Input

This paper focuses on the tracking control problem for a class of nonlinear system with time delays and dead-zone input. The nonsymmetric dead-zone input case is considered without the knowledge of the dead zone parameters. The time delay uncertainties are bounded by a nonlinear function with unknown coefficients. By constructing a novel Lyapunov functional, we design a simple and smooth adaptive state feedback controller. It is shown that the solution of the resulting closed-loop error system converges to an adjustable region exponentially. Finally, numerical examples are included to show the effectiveness of the theoretical results.

[1]  Ying Zhang,et al.  Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity , 2006, IEEE Transactions on Automatic Control.

[2]  P. Kokotovic,et al.  Adaptive nonlinear control of systems containing a deadzone , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[3]  Gang Tao,et al.  Discrete-time adaptive control of plants with unknown output dead-zones , 1995, Autom..

[4]  Er-Wei Bai Adaptive Dead Zone Inverses for Possibly Nonlinear Control Systems , 2001 .

[5]  Jing Zhou,et al.  Robust Adaptive Output Control of Uncertain Nonlinear Plants With Unknown Backlash Nonlinearity , 2007, IEEE Transactions on Automatic Control.

[6]  Gang Tao,et al.  Discrete-time adaptive control of systems with unknown deadzones , 1995 .

[7]  Peng Shi,et al.  Robust backstepping control for a class of time delayed systems , 2005, IEEE Transactions on Automatic Control.

[8]  Shuzhi Sam Ge,et al.  Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs , 2007, Autom..

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

[10]  A. Payne,et al.  Adaptive one-step-ahead control subject to an input-amplitude constraint , 1986 .

[11]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.

[12]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown dead-zone , 2004, Autom..

[13]  E. Bai,et al.  Convergence results for an adaptive dead zone inverse , 1998 .

[14]  M. De la Sen,et al.  Stable adaptive control for not-necessarily stable discrete linear plants with bounded non-linear inputs , 1991 .

[15]  Fujio Ohkawa,et al.  A discrete model reference adaptive control system for a plant with input amplitude constraints , 1982 .

[16]  Gang Tao,et al.  Adaptive Control of Systems with Backlash , 1992 .

[17]  Frank L. Lewis,et al.  Deadzone compensation in motion control systems using neural networks , 2000, IEEE Trans. Autom. Control..

[18]  Gang Tao,et al.  Adaptive Control of Plants with Unknown Dead-zones , 1992, 1992 American Control Conference.

[19]  Yisheng Zhong,et al.  Globally stable adaptive system design for minimum phase SISO plants with input saturation , 2005, Autom..

[20]  Chun-Yi Su,et al.  Adaptive tracking of nonlinear systems with non-symmetric dead-zone input , 2007, Autom..