Global Asmptotic Stability for Systems with Friction and Input Backlash

Adaptive variable structure control (VSC) of a class of nonlinear dynamic systems with backlash hysteresis affecting the input is considered in this paper. Utilizing the solution properties of the nonlinear differential equation that models backlash hysteresis, a robust adaptive VSC controller is developed and used to achieve global asymptotic tracking without the need to use an adaptive backlash inverse controllers. Simulation studies utilizing the proposed controller on a one degree-of-freedom system suffering from input backlash elucidate the robustness and performance aspects of this approach

[1]  M. Grundelius,et al.  Adaptive control of systems with backlash acting on the input , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[2]  M. Chung,et al.  A variable structure control with simple adaptation laws for upper bounds on the norm of the uncertainties , 1992 .

[3]  S. Sankaranarayanan,et al.  Adaptive variable structure control of a class of nonlinear systems with nonvanishing perturbations via backstepping , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[4]  Gang Tao,et al.  Adaptive control of systems with backlash , 1993, Autom..

[5]  Gang Tao,et al.  Continuous-time Adaptive Control of Systems with Unknown Backlash , 1993, 1993 American Control Conference.

[6]  Cun Wu Han,et al.  Robust adaptive control of time-varying systems with unknown backlash nonlinearity , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[7]  R. Decarlo,et al.  Variable structure control of nonlinear multivariable systems: a tutorial , 1988, Proc. IEEE.

[8]  Gang Tao,et al.  Adaptive Control of Systems with Actuator and Sensor Nonlinearities , 1996 .

[9]  Chun-Yi Su,et al.  Adaptive control of a class of nonlinear systems preceded by an unknown backlash-like hysteresis , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[10]  Farshad Khorrami,et al.  Adaptive control of systems with backlash hysteresis at the input , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[11]  Farshad Khorrami,et al.  Robust adaptive control of a class of nonlinear systems: state and output feedback , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[12]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[13]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[14]  V. Utkin Variable structure systems with sliding modes , 1977 .

[15]  Yihui Jin,et al.  Stable adaptive control of backlash nonlinear system with bounded disturbances , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[16]  Dong H. Chyung Output feedback controller for systems containing a backlash , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.