Control relevant identification for H/sub ∞/-norm based performance specifications

For consecutive model-based control design, approximate identification of linear models should be performed on the basis of a feedback-relevant criterion, compatible with the control design. For an H/sub /spl infin//-norm based control design, a procedure is presented to estimate a possibly unstable and feedback controlled plant by using an H/sub /spl infin//-norm based feedback-relevant identification criterion. It is shown that the formulated identification problem can be handled by taking (noisy) closed loop frequency domain measurements of the plant and fitting a model of a prespecified McMillan degree, which is parametrized in a stable factorization, using a certain nonlinear constrained minimization. The procedure is illustrated by an example.

[1]  Okko H. Bosgra,et al.  Adaptive performance enhancement by iterative identification and control design , 1993 .

[2]  C. D. Johnson,et al.  A New Approach to Adaptive Control , 1988 .

[3]  Paul M. J. Van den Hof,et al.  Approximate identification with closed-loop performance criterion and application to LQG feedback design , 1994, Autom..

[4]  C. N. Nett,et al.  Fundamentals of control-oriented system identification and their application for identification in H∞ , 1991, 1991 American Control Conference.

[5]  Raymond A. de Callafon,et al.  Identification of Normalised Coprime Plant Factors from Closed-loop Experimental Data , 1995, Eur. J. Control.

[6]  Michel Gevers,et al.  Disturbance Rejection: on-line refinement of controllers by closed loop modelling , 1992, 1992 American Control Conference.

[7]  J. Leblond,et al.  Identification for control: closing the loop gives more accurate controllers , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[8]  Keith Glover,et al.  Robust control design using normal-ized coprime factor plant descriptions , 1989 .

[9]  Ruud J. P. Schrama.  Accurate identification for control: the necessity of an iterative scheme , 1992 .

[10]  Guoxiang Gu,et al.  A class of algorithms for identification in H∞ , 1992, Autom..

[11]  Paul M.J. Van den Hof,et al.  Identification and Control - Closed Loop Issues , 1994 .

[12]  R. Ober.  Balanced parametrization of classes of linear systems , 1991 .

[13]  Brian D. O. Anderson,et al.  A new approach to adaptive robust control , 1993 .

[14]  Pramod P. Khargonekar,et al.  Identification of Lightly Damped Systems using Frequency Domain Techniques , 1994 .

[15]  O. Bosgra,et al.  Low order robust H/sub infinity / controller synthesis , 1990, 29th IEEE Conference on Decision and Control.

[16]  Yeung Yam,et al.  A criterion for joint optimization of identification and robust control , 1992 .

[17]  Paul M.J. Van den Hof,et al.  Frequency domain curve fitting with maximum amplitude criterion and guaranteed stability , 1994 .

[18]  S. Gunnarsson,et al.  A convergent iterative restricted complexity control design scheme , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[19]  Michel Gevers,et al.  Towards a Joint Design of Identification and Control , 1993 .