Global Regulation of a Class of Uncertain Nonlinear Systems by Switching Adaptive Controller

There are several results on the stabilization or regulation of nonlinear systems with either triangular or feedforward nonlinearity. However, the existing results are applicable to their considered systems when the nonlinearity structure is known a priori. In this technical note, we propose a switching adaptive controller which tunes the dynamic gain depending on the nonlinearity structure. Thus, as a benefit over the existing results, the structural information on the nonlinearity is not needed. Although the linear growth condition is assumed, the rate of growth is unknown and arbitrary large with our control scheme.

[1]  A. Morse,et al.  Applications of hysteresis switching in parameter adaptive control , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[2]  João Pedro Hespanha,et al.  Overcoming the limitations of adaptive control by means of logic-based switching , 2003, Syst. Control. Lett..

[3]  Xudong Ye,et al.  Universal stabilization of feedforward nonlinear systems , 2003, Autom..

[4]  L. Praly.  Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[5]  Ye Xudong,et al.  Brief Universal stabilization of feedforward nonlinear systems , 2003 .

[6]  João Pedro Hespanha,et al.  Supervision of integral-input-to-state stabilizing controllers , 2002, Autom..

[7]  Prashanth Krishnamurthy,et al.  Global robust control of feedforward systems: state-feedback and output-feedback , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[8]  Shuzhi Sam Ge,et al.  Output-feedback adaptive stabilization for nonlinear systems with unknown direction control coefficients , 2005, Proceedings of the 2005, American Control Conference, 2005..

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

[10]  João Pedro Hespanha,et al.  Postprints from CCDC Title Hysteresis-based switching algorithms for supervisory control of uncertain systems Permalink , 2002 .

[11]  Jong-Tae Lim,et al.  Global exponential stabilization of a class of nonlinear systems by output feedback , 2005, IEEE Transactions on Automatic Control.

[12]  Wei Lin,et al.  Global regulation of a class of uncertain nonlinear systems using output feedback , 2003, Proceedings of the 2003 American Control Conference, 2003..

[13]  Elias B. Kosmatopoulos,et al.  A switching adaptive controller for feedback linearizable systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[14]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[15]  B. Barmish,et al.  Adaptive stabilization of linear systems via switching control , 1986, 1986 25th IEEE Conference on Decision and Control.

[16]  Jong-Tae Lim,et al.  Stabilization of a class of nonlinear systems by adaptive output feedback , 2005, Autom..

[17]  Wei Lin,et al.  Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm , 2002, IEEE Trans. Autom. Control..

[18]  Heinz Unbehauen,et al.  Global adaptive stabilization for a class of feedforward nonlinear systems , 2004, IEEE Transactions on Automatic Control.

[19]  Ye Xudong.  Adaptive output-feedback control of nonlinear systems with unknown nonlinearities , 2005 .

[20]  Debasish Chatterjee,et al.  Input-to-state stability of switched systems and switching adaptive control , 2007, Autom..

[21]  Jong-Tae Lim,et al.  On Robust Approximate Feedback Linearization , 2004 .

[22]  Thomas S. Brinsmead,et al.  Multiple model adaptive control. Part 2: switching , 2001 .

[23]  Wei Lin,et al.  Universal adaptive control of nonlinear systems with unknown growth rate by output feedback , 2006, Autom..