Observers for interconnected nonlinear and linear systems

Automatica

Volumn 48, Issue 7, 2012, Pages 1339-1346

  Grip, Håvard Fjær ^a   Saberi, Ali ^a   Johansen, Tor A ^b  

^a Washington State University   (United States)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Guidance, navigation, and control of vehicles; Interconnected systems; Nonlinear observer and filter design

Indexed keywords

CASCADE INTERCONNECTION; ERROR DYNAMICS; EXAMPLE BASED; FILTER DESIGNS; GENERAL CLASS; GLOBALLY EXPONENTIALLY STABLE; GUIDANCE , NAVIGATION , AND CONTROLS; OBSERVER DESIGN; SATELLITE MEASUREMENTS;

LARGE SCALE SYSTEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS;

OBSERVABILITY;

EID: 84862907269     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2012.04.008     Document Type: Article

References (38)

1. B. Açkmeşe, and M. Corless Observers for systems with nonlinearities satisfying incremental quadratic constraints Automatica 47 7 2011 1339 1348
2. M. Arcak, and P. Kokotović Nonlinear observers: a circle criterion design and robustness analysis Automatica 37 12 2001 1923 1930
3. Bornard, G., & Hammouri, H. (2002). A graph approach to uniform observability of nonlinear multi output systems. In Proceedings of the IEEE conference on decision and control (pp. 701-706).
4. R.G. Brown, and P.Y.C. Hwang Introduction to random signals and applied Kalman filtering 3rd ed. 1997 Wiley New York
5. H∞ design with pole placement constraints: an lmi approach IEEE Transactions on Automatic Control 41 3 1996 358 367
6. J.L. Crassidis, F.L. Markley, and Y. Cheng Survey of nonlinear attitude estimation methods Journal of Guidance Control and Dynamics 30 1 2007 12 28
7. P.M. Djurić, J.H. Kotecha, J. Zhang, Y. Huang, T. Ghirmai, and M.F. Bugallo Particle filtering IEEE Signal Processing Magazine 20 5 2003 19 38
8. Drakunov, S.V. (1992). Sliding-mode observers based on equivalent control method. In Proceedings of the IEEE conference on decision and control (pp. 2368-2369).
9. Esfandiari, F., & Khalil, H.K. (1987). Observer-based design of uncertain systems: recovering state feedback robustness under matching conditions. In Proceedings of the Allerton conference (pp. 97-106).
10. X. Fan, and M. Arcak Observer design for systems with multivariable monotone nonlinearities Systems and Control Letters 50 4 2003 319 330
11. L.B. Freidovich, and H.K. Khalil Lyapunov-based switching control of nonlinear systems using high-gain observers Automatica 43 1 2007 150 157
12. L.B. Freidovich, and H.K. Khalil Performance recovery of feedback-linearization-based designs IEEE Transactions on Automatic Control 53 10 2008 2324 2334
13. J.P. Gauthier, H. Hammouri, and S. Othman A simple observer for nonlinear systems: applications to bioreactors IEEE Transactions on Automatic Control 37 6 1992 875 880
14. H.F. Grip, T.I. Fossen, T.A. Johansen, and A. Saberi Attitude estimation using biased gyro and vector measurements with time-varying reference vectors IEEE Transactions on Automatic Control 57 5 2012 1332 1338
15. Grip, H.F., & Saberi, A. (2010). High-gain observer design for domination of nonlinear perturbations: transformation to a canonical form by dynamic output shaping. In Proceedings of the IEEE conference on decision and control (pp. 5043-5049).
16. H.F. Grip, A. Saberi, and T.A. Johansen Estimation of states and parameters for linear systems with nonlinearly parameterized perturbations Systems and Control Letters 60 9 2011 771 777
17. Grip, H.F., Saberi, A., & Johansen, T.A. (2011b). Observers for cascaded nonlinear and linear systems. In Proceedings of the IEEE conference on decision and control (pp. 3331-3337).
18. M.-D. Hua Attitude estimation for accelerated vehicles using GPS/INS measurements Control Engineering Practice 18 7 2010 723 732
19. S.J. Julier, and J.K. Uhlmann Unscented filtering and nonlinear estimation Proceedings of the IEEE 92 3 2004 401 422
20. N. Kazantis, and C. Kravaris Nonlinear observer design using Lyapunov's auxiliary theorem Systems and Control Letters 34 5 1998 241 247
21. H.K. Khalil Nonlinear systems 3rd ed. 2002 Prentice-Hall Upper Saddle River, NJ
22. D.L. Kleinman, and M. Athans The design of suboptimal linear time-varying systems IEEE Transactions on Automatic Control 13 2 1968 150 159
23. A.J. Krener, and A. Isidori Linearization by output injection and nonlinear observers Systems and Control Letters 3 1 1983 47 52
24. R. Marino, and P. Tomei Nonlinear control design: geometric, adaptive and robust 1995 Prentice-Hall London
25. P.S. Maybeck Stochastic models, estimation, and control, volume 1 Mathematics in science and engineering Vol. 141 1979 Academic Press New York
26. P.E. Moraal, and J.W. Grizzle Observer design for nonlinear systems with discrete-time measurements IEEE Transactions on Automatic Control 40 3 1995 395 404
27. P.J. Moylan Stable inversion of linear systems IEEE Transactions on Automatic Control 22 1 1977 74 78
28. Phanomchoeng, G., & Rajamani, R. (2010). Observer design for Lipschitz nonlinear systems using Riccati equations. In Proceedings of the American control conference (pp. 6060-6065).
29. R. Rajamani Observers for Lipschitz nonlinear systems IEEE Transactions on Automatic Control 43 3 1998 397 401
30. A. Saberi, and P. Sannuti Observer design for loop transfer recovery and for uncertain dynamical systems IEEE Transactions on Automatic Control 35 8 1990 878 897
31. H 2 optimal control 1995 Prentice-Hall London
32. A. Saberi, A.A. Stoorvogel, and P. Sannuti Filtering theory 2006 Birkhäuser Boston
33. H. Shim, and J.H. Seo Recursive nonlinear observer design: beyond the uniform observability IEEE Transactions on Automatic Control 48 2 2003 294 298
34. M.D. Shuster, and S.D. Oh Three-axis attitude determination from vector observations Journal of Guidance Control and Dynamics 4 1 1981 70 77
35. J.-J.E. Slotine, J.K. Hedrick, and E.A. Misawa On sliding observers for nonlinear systems Journal of Dynamic Systems Measurement and Control 109 3 1987 245 252
36. F.E. Thau Observing the state of non-linear dynamic systems International Journal of Control 17 3 1973 471 479
37. Vik, B., & Fossen, T.I. (2001). A nonlinear observer for GPS and INS integration. In Proceedings of the IEEE conference on decision and control (pp. 2956-2961).
38. H∞ performance analysis Systems and Control Letters 57 1 2008 18 27