Input design for guaranteed fault diagnosis using zonotopes

Automatica

Volumn 50, Issue 6, 2014, Pages 1580-1589

  Scott, Joseph K ^a   Findeisen, Rolf ^b   Braatz, Richard D ^a   Raimondo, Davide M ^c  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b OTTO VON GUERICKE UNIVERSITY   (Germany)

^c UNIVERSITY OF PAVIA   (Italy)

Author keywords

Fault diagnosis; Input design; Reachability analysis; Zonotopes

Indexed keywords

FAILURE ANALYSIS; INTEGER PROGRAMMING; OPTIMIZATION; PROGRAM DIAGNOSTICS; QUADRATIC PROGRAMMING;

BOUNDED DISTURBANCES; CONTROL OBJECTIVES; DISCRETE SWITCHES; INPUT DESIGN; NONCONVEX OPTIMIZATION PROBLEM; QUADRATIC PROGRAMS; REACHABILITY ANALYSIS; ZONOTOPES;

FAULT DETECTION;

EID: 84902121910     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2014.03.016     Document Type: Article

References (31)

1. Althoff, M.; Krogh, B. H. (2011). Zonotope bundles for the efficient computation of reachable sets. In Proc. 50th IEEE conference on decision and control(pp. 6814-6821).
2. M. Althoff, O. Stursberg, and M. Buss Computing reachable sets of hybrid systems using a combination of zonotopes and polytopes Nonlinear Analysis - Hybrid Systems 4 2 2010 233 249
3. Andjelkovic, I.; Sweetingham, K.; Campbell, S. L. (2008). Active fault detection in nonlinear systems using auxiliary signals. In Proc. of the American control conference (pp. 2142-2147).
4. Ashari, A. E.; Nikoukhah, R.; Campbell, S. L. (2009). Asymptotic behavior and solution approximation of active robust fault detection for closed-loop systems. In Proc. of the 48th IEEE conference on decision and control (pp. 1026-1031).
5. A. Ashari, R. Nikoukhah, and S.L. Campbell Effects of feedback on active fault detection Automatica 48 2012 866 872
6. D.P. Bertsekas Nonlinear programming 2nd ed. 1999 Athena Scientific Belmont, MA
7. D. Bertsimas, and J. Tsitsiklis Introduction to linear optimization 1997 Athena Scientific Belmont, MA
8. L. Blackmore, S. Rajamanoharan, and B.C. Williams Active estimation for jump Markov linear systems IEEE Transactions on Automatic Control 53 10 2008 2223 2236
9. E.D. Bolker A class of convex bodies Transactions of the American Mathematical Society 145 1969 323 345
10. Campbell, S. L.; Drake, K.; Nikoukhah, R. (2002). Early decision making when using proper auxiliary signals. In Proc. of the 41st IEEE conference on decision and control. December (pp. 1832-1837).
11. S.L. Campbell, K.G. Horton, and R. Nikoukhah Auxiliary signal design for rapid multi-model identification using optimization Automatica 38 8 2002 1313 1325
12. S.L. Campbell, and R. Nikoukhah Auxiliary signal design for failure detection 2004 Princeton University Press
13. L.H. Chiang, E.L. Russell, and R.D. Braatz Fault detection and diagnosis in industrial systems 2001 Springer-Verlag London
14. Combastel, C. (2003). A state bounding observer based on zonotopes. In Proc. of the European control conference. Cambridge, UK.
15. D. Dobkin, J. Hershberger, D. Kirkpatrick, and S. Suri Computing the intersection-depth of polyhedra Algorithmica 9 1993 518 533
16. A. Esna Ashari, R. Nikoukhah, and S.L. Campbell Active robust fault detection in closed-loop systems: quadratic optimization approach IEEE Transactions on Automatic Control 57 10 2012 2532 2544
17. J. Fortuny-Amat, and B. McCarl A representation and economic interpretation of a two-level programing problem Journal of the Operational Research Society 32 1981 783 792
18. K. Fukuda From the zonotope construction to the Minkowski addition of convex polytopes Journal of Symbolic Computation 38 4 2004 1261 1272
19. IBM (2012). ILOG CPLEX V12.2 user's manual for CPLEX.
20. I. Kolmanovsky, and E.G. Gilbert Theory and computation of disturbance invariant sets for discrete-time linear systems Mathematical Problems in Engineering 4 1998 317 367
21. W. Kuhn Rigorously computed orbits of dynamical systems without the wrapping effect Computing 61 1 1998 47 67
22. X.Q. Liu, H.Y. Zhang, J. Liu, and J. Yang Fault detection and diagnosis of permanent-magnet DC motor based on parameter estimation and neural network IEEE Transactions on Industrial Electronics 47 5 2000 1021 1030
23. H.H. Niemann A setup for active fault diagnosis IEEE Transactions on Automatic Control 51 2006 1572 1578
24. R. Nikoukhah Guaranteed active failure detection and isolation for linear dynamical systems Automatica 34 11 1998 1345 1358
25. R. Nikoukhah, and S.L. Campbell Auxiliary signal design for active failure detection in uncertain linear systems with a priori information Automatica 42 2 2006 219 228
26. R. Nikoukhah, S.L. Campbell, and F. Delebecque Detection signal design for failure detection: a robust approach International Journal of Adaptive Control and Signal Processing 14 7 2000 701 724
27. Scott, J. K.; Findeisen, R.; Braatz, R. D.; Raimondo, D. M. (2013). Design of active inputs for set-based fault diagnosis. In Proc. of the American control conference (pp. 3567-3572).
28. J.S. Shamma Set-valued observers and optimal disturbance rejection IEEE Transactions on Automatic Control 44 1999 253 264
29. M. Simandl, and I. Puncochar Active fault detection and control: unified formulation and optimal design Automatica 45 9 2009 2052 2059
30. V. Venkatasubramanian, R. Rengaswamy, K. Yin, and S.N. Kavuri A review of process fault detection and diagnosis: part I: quantitative model-based methods Computers & Chemical Engineering 27 3 2003 293 311
31. A. Zolghadri Advanced model-based FDIR techniques for aerospace systems: today challenges and opportunities Progress in Aerospace Sciences 53 3 2010 18 29