M-MRAC for nonlinear systems with bounded disturbances

This paper presents design and performance analysis of a modified reference model MRAC (M-MRAC) architecture for a class of multi-input multi-output uncertain nonlinear systems in the presence of bounded disturbances. M-MRAC incorporates an error feedback in the reference model definition, which allows for fast adaptation without generating high frequency oscillations in the control signal, which closely follows the certainty equivalent control signal. The benefits of the method are demonstrated via a simulation example of an aircraft's wing rock motion.

[1]  Naira Hovakimyan,et al.  Design and Analysis of a Novel ${\cal L}_1$ Adaptive Control Architecture With Guaranteed Transient Performance , 2008, IEEE Transactions on Automatic Control.

[2]  A. Morse Supervisory control of families of linear set-point controllers. 2. Robustness , 1997, IEEE Trans. Autom. Control..

[3]  A. Morse Supervisory control of families of linear set-point controllers Part I. Exact matching , 1996, IEEE Trans. Autom. Control..

[4]  Sahjendra N. Singh,et al.  Direct Adaptive and Neural Control of Wing-Rock Motion of Slender Delta Wings , 1995 .

[5]  L. Praly,et al.  Adaptive nonlinear regulation: estimation from the Lyapunov equation , 1992 .

[6]  Jing Sun A Modified Model Reference Adaptive Control Scheme for Improved Transient Performance , 1991, 1991 American Control Conference.

[7]  Yu Tang,et al.  Adaptive control of robots with an improved transient performance , 2002, IEEE Trans. Autom. Control..

[8]  Petros A. Ioannou,et al.  Performance analysis and improvement in model reference adaptive control , 1994, IEEE Trans. Autom. Control..

[9]  R. Bitmead,et al.  Transient bounds for adaptive control systems , 1990, 29th IEEE Conference on Decision and Control.

[10]  Eugene Lavretsky,et al.  Combined/Composite Model Reference Adaptive Control , 2009, IEEE Transactions on Automatic Control.

[11]  E. Lavretsky,et al.  Adaptive control of flight: theory, applications, and open problems , 2006, 2006 American Control Conference.

[12]  Hassan K. Khalil,et al.  Nonlinear Systems Third Edition , 2008 .

[13]  Roy M. Howard,et al.  Linear System Theory , 1992 .

[14]  Aniruddha Datta,et al.  On modifying model reference adaptive control schemes for performance improvement , 1994 .

[15]  Eric Rogers,et al.  Uncertainty, performance, and model dependency in approximate adaptive nonlinear control , 2000, IEEE Trans. Autom. Control..

[16]  A. Morse Supervisory control of families of linear set-point controllers , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[17]  V Stepanyan,et al.  MRAC Revisited: Guaranteed performance with reference model modification , 2010, Proceedings of the 2010 American Control Conference.