References
- Abu-Khalaf , M , Lewis , FL and Huang , J . 2006 . Policy Iteration on the Hamilton–Jacobi–Isaacs Equation for ℋ∞ State Feedback Control with Input Saturation . IEEE Transactions on Automatic Control , 51 : 1989 – 1995 .
- Aliyu , MDS . 2003a . An Approach for Solving the Hamilton–Jacobi–Isaacs Equation (HJIE) in Nonlinear ℋ∞ Control . Automatica , 39 : 877 – 884 .
- Aliyu , MDS . 2003b . A Transformation Approach for Solving the Hamilton–Jacobi–Bellman Equation in ℋ2 Deterministic and Stochastic Optimal Control of Affine Nonlinear Systems . Automatica , 39 : 1243 – 1249 .
- Amira (1992), ‘Lab Manual DTS200 Three Tank System’, Technical Report, Bismarckstr. 67, 47057 Duisburg, Germany
- Ball , JA and Helton , JW . 1989 . “ Factorization and General Properties of Nonlinear Toeplitz Operators ” . In The Gohberg Anniversary Collection , Edited by: Kaashoek , MA and Lancaster , P . 25 – 41 . Basel : Birkhauser-Verlag .
- Ball , J , Peterson , MA and van der Schaft , A . 2004 . Inner–outer Factorisation for Nonlinear Noninvertible Systems . IEEE Transactions on Automatic Control , 49 : 483 – 492 .
- Ball , JA and van der Schaft , AJ . 1996 . J-inner–outer Factorisation, J-spectral Factorisation, and Robust Control for Nonlinear Systems . IEEE Transactions on Automatic Control , 41 : 379 – 392 .
- Basseville , M and Nikiforov , IV . 1993 . Detection of Abrupt Changes – Theory and Application , Englewood Cliffs : Prentice-Hall .
- Berman , N . 1996 . ℋ∞ Nonlinear Filtering . International Journal of Robust Nonlinear Control , 6 : 281 – 296 .
- Blanke , M , Kinnaert , M , Lunze , J and Staroswiecki , M . 2006 . Diagnosis and Fault-tolerant Control , Berlin/Heidelberg : Springer .
- Chen , J and Patton , RJ . 1999 . Robust Model-based Fault Diagnosis for Dynamic Systems , Boston, MA, , USA : Kluwer Academic Publishers .
- Crouch , PE and van der Schaft , AJ . 1987 . Variational and Hamiltonian Control Systems, Lecture Notes in Control and Information Sciences , Berlin/Heidelberg : Springer-Verlag .
- de Persis , C and Isidori , A . 2002 . On the Design of Fault Detection Filters with Game-theoretic-optimal Sensitivity . International Journal of Robust Nonlinear Control , 12 : 729 – 747 .
- Ding , SX . 2008 . Model-based Fault Diagnosis Techniques – Design Schemes, Algorithms and Tools , Berlin/Heidelberg : Springer .
- Frank , PM . 1994 . Enhancement of Robustness in Observer-based Fault Detection . International Journal of Control , 59 : 955 – 981 .
- Frank , PM , Schreier , G and Garca , EA . Nonlinear Observers for Fault Detection and Isolation . New Directions in Nonlinear Observer Design, Lecture Notes in Control and Information Science (Vol. 244) . 1999 . Vol. 244/1999 , pp. 399 – 422 . Berlin/Heidelberg : Springer .
- Hou , M . and Patton, R.J. (1996), ‘An LMI Approach to ℋ−/ℋ∞ Fault Detection Observers’, in Proceedings of the UKACC International Conference on Control, September, pp. 305–310
- Khan , AQ . Abid, M., Chen, W., and Ding, S.X. (2009), ‘On Optimal Fault Detection of Nonlinear Systems’, in Proceedings of the IEEE Conference on Decision and Control, December, Shanghai, P.R. China, pp. 1032–1037
- Li , X and Zhou , K . 2009 . A Time Domain Approach to Robust Fault Detection of Linear Time-varying Systems . Automatica , 45 : 94 – 102 .
- Liu , J , Wang , JL and Yang , G . 2005 . An LMI Approach to Minimum Sensitivity Analysis with Application to Fault Detection . Automatica , 41 : 1995 – 2004 .
- Patton , RJ , Frank , PM and Clark , RN . 2000 . Issues of Fault Diagnosis for Dynamic Systems , London : Springer .
- Sakamoto , N and van der Schaft , AJ . 2008 . Analytical Approximation Methods for the Stabilising Solution of the Hamilton–Jacobi Equation . IEEE Transactions on Automatic Control , 53 : 2335 – 2350 .
- Seliger , R and Frank , PM . Robust Residual Evaluation by Threshold Selection and a Performance Index for Nonlinear Observer-based Fault Diagnosis . International Conference on Fault diagnosis, April . 1993 . pp. 496 – 504 . Toulouse, , France
- Wang , JL , Yang , GH and Liu , J . 2007 . An LMI Approach to ℋ− Index and Mixed ℋ−/ℋ∞ Fault Detection Observer Design . Automatica , 43 : 1656 – 1665 .
- Wise , KA . and Sedwick, J.K. (1994), ‘Successive Approximation Solution of HJI Equation’, in Proceedings of the IEEE Conference on Decision and Control, IEEE, Lake Buena Vista, FL, pp. 1387–1391
- Witczak , M . 2007 . Modeling and Estimation Strategies for Fault Diagnosis of Non-linear Systems: From Analytical to Soft Computing Approaches, Lecture Notes in Control and Information Sciences , Berlin/Heidelberg : Springer .
- Zhang , P and Ding , SX . 2008 . An Integrated Trade-off Design of Observer Based Fault Detection Systems . Automatica , 44 : 1886 – 1894 .