State observer for a class of nonlinear systems and its application to machine vision

IEEE Transactions on Automatic Control

Volumn 49, Issue 11, 2004, Pages 2085-2091

  Chen, Xinkai ^a   Kano, Hiroyuki ^b  

^a SHIBAURA INSTITUTE OF TECHNOLOGY   (Japan)

^b TOKYO DENKI UNIVERSITY   (Japan)

Author keywords

Machine vision; Nonlinear system; Perspective observation; State observer

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ALGORITHMS; COMPUTER SIMULATION; COMPUTER VISION; IDENTIFICATION (CONTROL SYSTEMS); OBSERVABILITY; SLIDING MODE CONTROL; STATE ESTIMATION; STEREO VISION;

PERSPECTIVE OBSERVATION; STATE OBSERVER;

NONLINEAR CONTROL SYSTEMS;

EID: 9744251678     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.837529     Document Type: Article

References (20)

1. N. Ayache, Artificial Vision for Mobile Robots, Stereo Vision and Multisensory Perception. Cambridge, MA: MIT Press, 1991
2. A. Azarbayejani and A. Pentland, "Recursive estimation of motion, structure and focal length," IEEE Trans. Pattern Anal. Machine Intell., vol. 17, pp. 562-575, June 1995.
3. X. Chen and H. Kano, "A new state observer for perspective systems," IEEE Trans. Automat. Contr., vol. 47, pp. 658-663, Apr. 2002.
4. A. Chiuso. P. Favaro. H. Jin, and S. Soatto, "Structure from motion causally integrated over time," IEEE Trans. Pattern Anal. Machine Intell., vol. 24, pp. 523-535, Apr. 2002.
5. W. Dayawansa, B. Ghosh, C. Martin, and X. Wang, "A necessary and sufficient condition for the perspective observability problem," Syst. Control Lett., vol. 25, no. 3, pp. 159-166, 1994.
6. B. K. Ghosh, H. Inaba, and S. Takahashi, "Identification of Ricatti dynamics under perspective and orthographic observations," IEEE Trans. Automat. Contr., vol. 45, pp. 1267-1278, July 2000.
7. B. K. Ghosh and E. P. Loucks, "A perspective theory for motion and shape estimation in machine vision," in Siam J. Control Optim., vol. 33, 1995, pp. 1530-1559.
8. M. Jankovic and B. K Ghosh, "Visually guided ranging from observation of points, lines and curves via an identifier based nonlinear observer," Syst. Control Lett., vol. 25, pp. 63-73, 1995.
9. K. Kanatani, Group-Theoretical Methods in Image Understanding. New York: Springer-Verlag, 1990.
10. H. Kano, B. K. Ghosh, and H. Kanai, "Single camera based motion and shape estimation using extended Kalman filtering," Math. Comput. Model., vol. 34, pp. 511-525, 2001.
11. Y. Ma, S. Soatto, J. Kosecka, and S. Sastry, "Euclidean reconstruction and reprojection up to subgroups," Int. J. Comput. Vision, vol. 38, no. 3, pp. 219-229, July 2000.
12. L. Matthies, T. Kanade, and R. Szeliski, "Kalman filter-based algorithm for estimating depth from image sequence," Int. J. Comput. Vision vol. 3, pp. 209-236, 1989.
13. A. Matveev, X. Hu, R. Frezza, anal H. Rehbinder, "Observers for systems with implicit output," IEEE Trans. Automat. Contr., vol. 45, no. 1, pp. 168-173, Jan. 2000.
14. R. M. Murray, Z. Li, and S. Sastry, A Mathematical Introduction to Robotic Manipulation. Boca Raton, FL: CRC, 1994.
15. S. Satry and M. Bodson, Adaptive Control, Stability, Convergence, and Robustness. Upper Saddle River, NJ: Prentice-Hall, 1989.
16. S. Soatto, "3-D structure from visual motion: Modeling, representation and observability," Automatica, vol. 33, no. 7, pp. 1287-1321, 1997.
17. S. Soatto, R. Frezza, and P. Perona, "Motion estimation via dynamic vision," IEEE Trans. Automat. Contr., vol. 41, pp. 393-413, Mar. 1996.
18. B. Sridhar, R. Soursa, and B. Hussein, "Passive range estimation for rotorcraft low-attitude flight," Int. J. Mach. Vision Applicat., vol. 6, pp. 10-24, 1993.
19. V. I. Utkin, Sliding Modes in Control Optimization. New York: Springer-Verlag, 1992.
20. J. Weng, N. Ahuja, and T. Huang, "Optimal motion and structure estimation," IEEE Trans. Pattern Anal. Machine Intell., vol. 15, pp. 864-884, Sept. 1993.