Self-tuning control by model unfalsification (Part I)

The transient problem in self-tuning control is analysed in a non-stochastic framework based on model unfalsification and solutions are proposed. It is assumed that the disturbance bounds or norm bounds on the unmodelled dynamics are not known a priori. Depending on the transient requirements the problem is grouped into four classes. Simulations show the practical potential of the tuning methods proposed.

[1]  Michael G. Safonov,et al.  Propagation of conic model uncertainty in hierarchical systems , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[2]  Daniel E. Miller,et al.  An adaptive controller which provides an arbitrarily good transient and steady-state response , 1991 .

[3]  A. Morse,et al.  Applications of hysteresis switching in parameter adaptive control , 1992 .

[4]  John Doyle,et al.  Model validation: a connection between robust control and identification , 1992 .

[5]  B. Ydstie.  Transient performance and robustness of direct adaptive control , 1992 .

[6]  G. Vinnicombe.  Frequency domain uncertainty and the graph topology , 1993, IEEE Trans. Autom. Control..

[7]  Aniruddha Datta,et al.  On the transient behaviour in discrete-time model reference adaptive control: Analysis and possible improvement , 1994, Autom..

[8]  V. F. Sokolov,et al.  Closed-loop identification for the best asymptotic performance of adaptive robust control , 1994, Autom..

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

[10]  Munther A. Dahleh,et al.  A new framework for iterative identification and control , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[11]  Robert L. Kosut.  Iterative Adaptive Robust Control via Uncertainty Model Unfalsification , 1996 .

[12]  R. L. Kosut.  Nonlinear uncertainty model unfalsification , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).