Patton, Ron J.; Chen, Jie On eigenstructure assignment for robust fault diagnosis. (English) Zbl 0967.93036 Int. J. Robust Nonlinear Control 10, No. 14, 1193-1208 (2000). Considering robust fault detection problems, an approach is given for the assignment of right observer eigenvectors for robust residual generation, where the disturbance decoupling is achieved by the assignment of either left or right observer eigenvectors. For the left eigenvector assignment method, a sufficient condition is given; for the right eigenvector assignment method, necessary and sufficient conditions are derived. The eigenstructure assignment methods are illustrated by some numerical examples. Reviewer: Kurt Marti (Neubiberg/München) Cited in 20 Documents MSC: 93B51 Design techniques (robust design, computer-aided design, etc.) 90B25 Reliability, availability, maintenance, inspection in operations research 93B60 Eigenvalue problems Keywords:robust fault detection; robust residual generation; disturbance decoupling; eigenvector; eigenstructure assignment PDF BibTeX XML Cite \textit{R. J. Patton} and \textit{J. Chen}, Int. J. Robust Nonlinear Control 10, No. 14, 1193--1208 (2000; Zbl 0967.93036) Full Text: DOI References: [1] Patton, Control Engineering Practice 5 pp 671– (1997) [2] Frank, Journal of Process Control 7 pp 403– (1997) [3] A novel design for robust fault diagnostic observer. In Proceedings of the 37th IEEE Conference on Decision & Control, Tampa, FL, USA, December 16-18 1998; 592-597. [4] Chen, International Journal of Control 63 pp 85– (1996) [5] Patton, Journal of Guidance, Control & Dynamics 10 pp 359– (1987) [6] Patton, Automatica 29 pp 837– (1993) [7] Robust fault detection using eigenstructure assignment: a tutorial consideration and some new results. Proceedings of the 30th IEEE Conference on Decision & Control, Brighton, UK, December 11-13 1991; 2242-2247. [8] Wang, Transactions of the Institute of MC 15 pp 221– (1993) [9] Fault diagnosis in the presence of parameter variations. Preprints of the IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes: SAFEPROCESS’94, vol. 1, Espoo, Finland, 13-16 June 1994; 93-98. [10] Shen, Journal of Guidance, Control & Dynamics 21 pp 50– (1998) [11] Zhang, Journal of Guidance, Control & Dynamics 13 pp 330– (1990) [12] Choi, Journal of Guidance, Control & Dynamics 18 pp 347– (1995) [13] Choi, IEEE Transactions on Aerospace and Electronic Systems 34 pp 625– (1998) [14] Watanabe, International Journal of Systems Science 13 pp 137– (1982) [15] Chen, International Journal of System Science 22 pp 1829– (1991) [16] Patton, Applied Mathematical and Computational Science 3 pp 399– (1993) [17] Patton, Journal of Guidance, Control & Dynamics 15 pp 1491– (1992) [18] Gertler, International Journal of Control 61 pp 395– (1995) [19] Chen, IEE Proceedings-D: Control Theory & Applications 143 pp 31– (1996) [20] Sobel, International Journal of Control 59 pp 13– (1994) [21] Eigenstructure Assignment for Control System Design. Wiley: Chichester, 1998. [22] Eigenstructure Assignment Toolbox. Pacilantic International, 1999. [23] A re-examination of fault detectability and isolability in linear dynamic systems. Preprints of the IFAC Sympoosium on Fault Detection, Supervision and Safety for Technical Processes: SAFEPROCESS’94, vol. 2, Espoo, Finland, 13-16 June 1994; 590-596. [24] Robust Model-based Fault Diagnosis for Dynamic Systems. Kluwer Academic Publishers: Dordrecht, 1998. [25] Patton, Proceedings of IMechE Part I - Journal of Systems and Control Engineering 211 pp 357– (1997) [26] Robust fault diagnosis using eigenstructure assignment of observers. In Fault Diagnosis in Dynamic Systems, Theory and Application, chapter 4, (eds.), Prentice-Hall: Englewood Cliffs, NJ, 1989; 99-154. [27] Frank, Automatica 26 pp 459– (1990) [28] Saberi, IEEE Transactions on Automatic Control AC-35 pp 878– (1990) [29] A parity space approach to robust fault diagnosis using eigenstructure assignment. Proceedings of 1st European Control Conference ECC’91, Grenoble, France, 2-5 July 1991; 1419-1424. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.