A minimax receding-horizon estimator for uncertain discrete-time linear systems

Proceedings of the American Control Conference

Volumn 1, Issue , 2004, Pages 205-210

  Alessandri, A ^a   Baglietto, M ^b   Battistelli, G ^b  

^a CNR   (Italy)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; ESTIMATION; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS); SPURIOUS SIGNAL NOISE;

COST FUNCTIONS; MATRIX TRANSPOSE; TIME-VARYING VECTORS; WEIGHTED NORMS;

LINEAR SYSTEMS;

EID: 8744277334     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/acc.2004.1383605     Document Type: Conference Paper

References (18)

1. A. H. Jazwinski, "Limited memory optimal filtering," IEEE Trans. on Automatic Control, vol. 13, no. 5, pp. 558-563, 1968.
2. W. H. Kwon, P. S. Kim, and P. Park, "A receding horizon Kalman FIR filter for discrete time-invariant systems," IEEE Trans. on Automatic Control, vol. 44, no. 9, pp. 1787-1791, 1999.
3. G. J. Bierman, "Fixed-memory least squares filtering," IEEE Trans. on Inf. Theory, vol. 21, no. 6, pp. 690-692, 1975.
4. A. Medvedev, "Continuous least-squares observers with applications," IEEE Trans. on Automatic Control, vol. 41, no. 10, pp. 1530-1537, 1996.
5. K. V. Ling and K. W. Lim, "Receding horizon recursive state estimation," IEEE Trans. on Automatic Control, vol. 44, no. 9, pp. 1750-1753, 1999.
6. A. Alessandri, M. Baglietto, and G. Battistelli, "Receding-horizon estimation for discrete-time linear systems," IEEE Trans. on Automatic Control, vol. 48, no. 3, pp. 473-478, 2003.
7. A. Alessandri, M. Baglietto, and G.Battistclli, "On estimation error bounds for receding-horizon filters using quadratic boundedness," IEEE Trans. on Automatic Control, to appear.
8. G. F. Trecate, D. Mignani, and M. Morari, "Moving horizon estimation for hybrid systems," IEEE Trans. on Automatic Control, vol. 47, no. 10, pp. 1663-1676, 2002.
9. C. V. Rao, J. B. Rawlings, and J. H. Lee, "Constrained linear estimation-a moving horizon approach," Automatica, vol. 37, pp. 1619-1628, 2001.
10. J. A. Primbs and V. Nevistic, "A framework for robustness analysis of constrained finite receding horizon control," IEEE Trans. on Automatic Control, vol. 45, no. 10, pp. 1828-1838, 2000.
11. A. Alessandri, M. Baglietto, and G.Battistelli, "Robust receding-horizon estimation for uncertain discrete-time linear systems," in 2003 European Control Conference, September 2003, pp. 100-106.
12. A. H. Sayed, V. H. Nascimento, and F. A. M. Cipparrone, "A regularized robust design criterion for uncertain data," SIAM Journal on Matrix Analysis and Applications, vol. 23, no. 4, pp. 1120-1142, 2002.
13. A. Alessandri, M. Baglietto, T. Parisini, and R. Zoppoli, "A neural state estimator with bounded errors for nonlinear systems," IEEE Trans. on Automatic Control, vol. 44, no. 11, pp. 2028-2042, 1999.
14. S. Dussy and E. G. L, "Measurement-scheduled control for the RTAC problem: an LMI approach," International Journal of Robust and Nonlinear Control, vol. 8, pp. 377-400, 1998.
15. L. E. Ghaoui and H. Lebret, "Robust solutions to least-squares problems with uncertain data," SIAM Journal Matrix Analysis and Applications, vol. 18, no. 4, pp. 1035-1064, 1997.
16. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, ser. Studies in Applied Mathematics. Philadelphia, PA: SIAM, 1994, vol. 15.
17. A. H. Sayed, "A framework for state-space estimation with uncertain models," IEEE Trans. on Automatic Control, vol. 46, no. 7, pp. 998-1013, 2001.
18. H. E. Rauch, F. Tung, and C. T. Striebel, "Maximum likelihood estimates of linear dynamic systems," AIAA Journal, vol. 3, pp. 1445-1450, 1965.