Model-free Adaptive Switching Control of Uncertain Time-Varying Plants

Abstract This paper addresses the problem of controlling an uncertain time-varying plant by means of a finite family of linear candidate controllers supervised by an appropriate switching logic. It is shown that global stability of the closed-loop system can be guaranteed provided that (i) at every time there is at least one candidate controller that would stabilize the current time-invariant “frozen” plant model, and (ii) the changes in the plant model are infrequent.

[1]  Aniruddha Datta.  Robustness of Discrete-time Adaptive Controllers: An Input-Output Approach , 1992, 1992 American Control Conference.

[2]  Michael G. Safonov,et al.  The unfalsified control concept and learning , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[3]  A. Stephen Morse,et al.  Control Using Logic-Based Switching , 1997 .

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

[5]  Fuad Kassab,et al.  On a class of switched, robustly stable, adaptive systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[6]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[7]  Minyue Fu,et al.  Localization based switching adaptive control for time-varying discrete-time systems , 2000, IEEE Trans. Autom. Control..

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

[9]  Edoardo Mosca,et al.  Lyapunov-based switching supervisory control of nonlinear uncertain systems , 2002, IEEE Trans. Autom. Control..

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

[11]  Edoardo Mosca,et al.  Adaptive switching supervisory control of nonlinear systems with no prior knowledge of noise bounds , 2004, Autom..

[12]  A. Paul,et al.  Cost-detectability and Stability of Adaptive Control Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[13]  Brian D. O. Anderson,et al.  Unfalsified adaptive control: A new controller implementation and some remarks , 2007, 2007 European Control Conference (ECC).

[14]  Michael G. Safonov,et al.  Safe Adaptive Switching Control: Stability and Convergence , 2008, IEEE Transactions on Automatic Control.

[15]  Giorgio Battistelli,et al.  Stability of Unfalsified Adaptive Switching Control in Noisy Environments , 2010, IEEE Transactions on Automatic Control.

[16]  Giorgio Battistelli,et al.  Multi-model unfalsified adaptive switching supervisory control , 2010, Autom..

[17]  Daniel Liberzon,et al.  Supervisory Control of Uncertain Linear Time-Varying Systems , 2011, IEEE Transactions on Automatic Control.