Adaptive Backstepping Control

Adaptive backstepping algorithms for a class of nonlinear continuous uncertain processes with disturbances are considered. Sliding mode control using a combined adaptive backstepping sliding mode control algorithm is also studied. The algorithms follow a systematic procedure for the design of adaptive control laws for the output of observable minimum phase nonlinear systems. This class of systems may include unmatched uncertainty including disturbances and unmodelled dynamics. The design methods are based upon (i) the backstepping approach, and (ii) a combination of sliding and backstepping.

[1]  Alan S. I. Zinober,et al.  Dynamical sliding mode control via adaptive input-output linearization: A backstepping approach , 1996 .

[2]  M. Rios-Bolivar,et al.  Output tracking control via adaptive input-output linearization: a backstepping approach , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[3]  Miguel Rios-Bolivar,et al.  Adaptive backstepping and sliding mode control of uncertain nonlinear systems , 1997 .

[4]  Alan S. I. Zinober,et al.  Adaptive backstepping control of nonlinear systems with unmatched uncertainty , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[5]  A. Jafari Koshkouei,et al.  Adaptive Sliding Backstepping Control of Nonlinear Semi-Strict Feedback Form Systems , 1999 .

[6]  Petar V. Kokotovic,et al.  Tracking controllers for systems linear in the unmeasured states , 1995, Autom..

[7]  M. Rios-Bolivar,et al.  Dynamical adaptive backstepping control design via symbolic computation , 1997, 1997 European Control Conference (ECC).

[8]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[9]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[10]  Ali J. Koshkouei,et al.  ADAPTIVE SLIDING BACKSTEPPING OF PARAMETRIC SEMI-STRICT FEEDBACK SYSTEMS WITH UNMATCHED UNCERTAINTY , 2000 .

[11]  Alan S. I. Zinober,et al.  DYNAMICAL ADAPTIVE SLIDING MODE OUTPUT TRACKING CONTROL OF A CLASS OF NONLINEAR SYSTEMS , 1997 .

[12]  A. S. I. Zinober,et al.  A symbolic computation toolbox for the design of dynamical adaptive nonlinear controllers , 1998 .

[13]  Alan S. I. Zinober,et al.  Adaptive Output Tracking Backstepping Sliding Mode Control of Nonlinear Systems , 2000 .

[14]  Petar V. Kokotovic,et al.  Systematic design of adaptive controllers for feedback linearizable systems , 1991 .

[15]  Masayoshi Tomizuka,et al.  Smooth Robust Adaptive Sliding Mode Control of Manipulators With Guaranteed Transient Performance , 1996 .

[16]  Antonella Ferrara,et al.  Dynamical Adaptive First and Second-Order Sliding Backstepping Control of Nonlinear Nontriangular Uncertain Systems , 2000 .

[17]  S. V. Emel'yanov,et al.  High-order sliding modes in control systems , 1996 .

[18]  I. Kanellakopoulos,et al.  Adaptive nonlinear control without overparametrization , 1992 .

[19]  G. Bartolini,et al.  Chattering avoidance by second-order sliding mode control , 1998, IEEE Trans. Autom. Control..

[20]  Masayoshi Tomizuka,et al.  Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form , 1997, Autom..