Comments on "Robust, fragile, or optimal?" [with reply]

The issue of fragile controllers produced by using popular robust and optimal control synthesis methods was raised by Keel-Bhattacharyya in the above mentioned paper (ibid. vol.42 (1997)). The commenter points out that the controller fragility problem described in the paper is: 1) well known in the literature; 2) due to the poor choice of examples; 3) can easily be fixed by changing the optimization criteria; and 4) can be fixed by changing the implementation. In reply, Keel-Bhattacharyya disagree with him on all counts and explain their argument.

[1]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[2]  Jonathan R. Partington,et al.  On bounded‐error identification of feedback systems , 1995 .

[3]  T. Georgiou,et al.  Optimal robustness in the gap metric , 1990 .

[4]  M. S. Ghausi,et al.  Analog active filters , 1984 .

[5]  Astrom Computer Controlled Systems , 1990 .

[6]  Brian D. O. Anderson,et al.  Optimum realizations of sampled-data controllers for FWL sensitivity minimization , 1995, Autom..

[7]  Albert Benveniste,et al.  Commande adaptative aspects pratiques et théoriques: Editors I. D. Landau and L. Dugard , 1987, Autom..

[8]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[9]  Edward J. Davison,et al.  Feedback stability under simultaneous gap metric uncertainties in plant and controller , 1992 .

[10]  M. Dahleh,et al.  Control of Uncertain Systems: A Linear Programming Approach , 1995 .

[11]  K. Glover,et al.  Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty , 1989 .

[12]  Jonathan R. Partington,et al.  Robust stabilization - BIBO stability, distance notions and robustness optimization , 1993, Autom..

[13]  Alfred Fettweis,et al.  Digital circuits and systems , 1984 .

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

[15]  Mathukumalli Vidyasagar,et al.  Control System Synthesis , 1985 .

[16]  P. H. Bauer,et al.  Robust stability of digital feedback control systems with floating point arithmetic , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[17]  Malcolm C. Smith,et al.  A four-block problem for H∞ design: Properties and applications, , 1991, Autom..

[18]  M. Dahleh BIBO stability robustness in the presence of coprime factor perturbations , 1992 .