Multiple adaptive models for control

It was recently shown by the authors that if it is known a priori that the unknown plant parameter vector lies in the convex hull of a set of adaptive model parameter vectors at the initial time, it will remain in the convex hull of the parameters even as they evolve with time. This result, which was derived earlier for the case when the state vector of the plant can be measured, is extended in this paper to the case when only the input and the output of the plant are accessible. This information, in turn, is used to describe different stable strategies for controlling the adaptive system.

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

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

[3]  Zhuo Han,et al.  Location of models in multiple-model based adaptive control for improved performance , 2010, Proceedings of the 2010 American Control Conference.

[4]  Kumpati S. Narendra,et al.  Adaptive control using multiple models , 1997, IEEE Trans. Autom. Control..

[5]  Kumpati S. Narendra,et al.  Improving transient response of adaptive control systems using multiple models and switching , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[6]  Anuradha M. Annaswamy,et al.  Stable Adaptive Systems , 1989 .