Passivity-based adaptive integral sliding mode control of uncertain nonlinear systems

This paper deals with the stabilization problem of uncertain nonlinear systems by passivity-based adaptive integral sliding mode control. The systems may possess both parametric uncertainties and unknown nonlinear functions that may represent modeling errors and external disturbances. The proposed method first combines immersion and invariance adaptive control with integral sliding mode control, which preserves the advantages of the two methods, namely asymptotic stability of adaptive control in the presence of parametric uncertainties, and stronger robustness with integral sliding mode control for both parametric uncertainties and unknown bounded nonlinear functions.

[1]  Mark W. Spong,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[2]  Jian-Xin Xu,et al.  Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems , 2004, IEEE Transactions on Automatic Control.

[3]  Romeo Ortega,et al.  Putting energy back in control , 2001 .

[4]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[5]  Masayoshi Tomizuka,et al.  Adaptive robust control of MIMO nonlinear systems in semi-strict feedback forms , 2001, Autom..

[6]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[7]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[8]  Zhong-Ping Jiang,et al.  A combined backstepping and small-gain approach to adaptive output feedback control , 1999, Autom..

[9]  Mrdjan J. Jankovic,et al.  Constructive Nonlinear Control , 2011 .

[10]  Andrew R. Teel Adaptive tracking with robust stability , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[11]  Romeo Ortega,et al.  Interconnection and Damping Assignment Passivity-Based Control: A Survey , 2004, Eur. J. Control.

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

[13]  D. Mayne Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[14]  Romeo Ortega,et al.  Passivity-based Control of Euler-Lagrange Systems , 1998 .

[15]  Alessandro Astolfi,et al.  Nonlinear And Adapative Control: Tools And Algorithms for the User , 2005 .

[16]  Arjan van der Schaft,et al.  Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems , 2002, Autom..

[17]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[18]  Zhong-Ping Jiang,et al.  Design of Robust Adaptive Controllers for Nonlinear Systems with Dynamic Uncertainties , 1998, Autom..

[19]  Alessandro Astolfi,et al.  Immersion and invariance: a new tool for stabilization and adaptive control of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[20]  Ali J. Koshkouei,et al.  Passivity‐based sliding mode control for nonlinear systems , 2008 .

[21]  A. Astolfi,et al.  Nonlinear Adaptive Control of Systems in Feedback Form: An Alternative to Adaptive Backstepping , 2004 .