Methods of system identification for monitoring slowly time-varying structural systems

It is often necessary to monitor the response of structural systems for reasons such as the prediction and avoidance of unstable behavior like flutter, monitoring structural parameters (e.g. natural frequency and damping, response of critical structural modes), and detection of structural damage or verification of structural integrity. Several different system identification methods are studied for the efficacy of their implementation for online monitoring of slowly time-varying structural systems. A few simple examples of such systems facilitate the evaluation of the performance, accuracy and ease of use of the various methods. Special attention is focused on exploring H/sub /spl infin//-based identification methods and on a two-stage algorithm using a recursive least-squares identification. It is observed that H/sub /spl infin//-based methods, while having advantages for many problems, especially in computing plant uncertainty bounds that are suitable for H/sub /spl infin// control design, are not particularly well-suited for online structural monitoring. Recursive least-squares methods, however, are sufficiently computationally simple to provide real-time updates of structural parameters and, in conjunction with a Kalman filter, modal response with relatively good accuracy for systems with slowly varying characteristics.

[1]  J. Littlewood ON BOUNDED BILINEAR FORMS IN AN INFINITE NUMBER OF VARIABLES , 1930 .

[2]  P. Khargonekar,et al.  Linear and nonlinear algorithms for identification in H/sub infinity / with error bounds , 1992 .

[3]  Arthur J. Helmicki,et al.  Worst-case/deterministic identification in H/sub infinity /: the continuous-time case , 1992 .

[4]  M. Phan,et al.  Integrated system identification and state estimation for control offlexible space structures , 1992 .

[5]  Jen-Kuang Huang,et al.  Integrated system identification and state estimation for control of flexible space structures , 1992 .

[6]  Guoxiang Gu,et al.  Frequency Domain Identification of Lightly Damped Systems: The JPL Example , 1993, 1993 American Control Conference.

[7]  Carl N. Nett,et al.  Control oriented system identification: a worst-case/deterministic approach in H/sub infinity / , 1991 .

[8]  Guoxiang Gu,et al.  Identification in H∞ with nonuniformly spaced frequency response measurements , 1992, 1992 American Control Conference.

[9]  Jonathan H. Friedman Identification, modeling, and control of flexible structures. , 1996 .

[10]  P. Khargonekar,et al.  A comparative applications study of frequency domain identification techniques , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[11]  J. Partington Robust identification in H , 1992 .

[12]  Guoxiang Gu,et al.  A class of algorithms for identification in H∞: continuous-time case , 1993, IEEE Trans. Autom. Control..

[13]  A. Helmicki,et al.  Identification in H∞: a robustly convergent, nonlinear algorithm , 1990, 1990 American Control Conference.

[14]  Erik A. Johnson,et al.  On-Line Modal State Monitoring of Slowly Time-Varying Structures , 1997 .

[15]  P. Khargonekar,et al.  Linear and nonlinear algorithms for identification in H∞ with error bounds , 1991, 1991 American Control Conference.

[16]  Yakov Z. Tsypkin,et al.  Robust identification , 1980, Autom..

[17]  A. Helmicki,et al.  H∞ identification of stable LSI systems: a scheme with direct application to controller design , 1989, 1989 American Control Conference.

[18]  Roger Ghanem,et al.  Structural System Identification. II: Experimental Verification , 1995 .

[19]  Jonathan R. Partington,et al.  Algorithms for identification in H∞ with unequally spaced function measurements , 1993 .

[20]  G. Zames On the metric complexity of casual linear systems: ε -Entropy and ε -Dimension for continuous time , 1979 .

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

[22]  Guoxiang Gu,et al.  Worst Case Identification of Continuous time Systems via Interpolation , 1993, 1993 American Control Conference.