Transient-performance improvement with a new class of adaptive controllers

Computable -~2 and La® performance bounds are derived for a recently proposed class of adaptive systems which show that, in addition to global stability and asymptotic tracking, a systematic improvement of transient performance can be achieved. The underlying linear nonadaptive controller is shown to possess a parametric robustness property, but for a large parameter uncertainty it requires high gain. A comparison between the adaptive and the nonadaptive performance bounds demonstrates that adaptation improves the overall performance without the undesirable effects of high gain.

[1]  Gang Tao,et al.  Dominant richness and improvement of performance of robust adaptive control , 1989, Autom..

[2]  Robert R. Bitmead,et al.  Transient bounds for adaptive control systems , 1994, IEEE Trans. Autom. Control..

[3]  Michael P. Polis,et al.  Robust Stabilization and Robust Performance Using Model Reference Control and Modeling Error Compensation , 1991, 1991 American Control Conference.

[4]  S. Bhattacharyya,et al.  Robust stability under structured and unstructured perturbations , 1990 .

[5]  Sanjeev M. Naik,et al.  Robust continuous time adaptive control by parameter projection , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[6]  Pramod P. Khargonekar,et al.  Robust adaptive control: stability and asymptotic performance , 1992 .

[7]  Miroslav Krstic,et al.  Passivity and Parametric Robustness of a New Class of Adaptive Systems , 1993 .

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

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

[10]  I. Kanellakopoulos,et al.  A new generation of adaptive controllers for linear systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[11]  R. Ortega.  On Morse's new adaptive controller: parameter convergence and transient performance , 1993, IEEE Trans. Autom. Control..

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

[13]  Petros A. Ioannou,et al.  Performance improvement versus robust stability in model reference adaptive control , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.