Robust state estimation for perturbed continuous systems with circular pole and error variance constraints

International Journal of Control

Volumn 69, Issue 3, 1998, Pages 383-392

  Wang, Zidong ^a,b   Unbehauen, H ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; ERROR ANALYSIS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; POLES AND ZEROS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); STATE ESTIMATION;

PERTURBED LINEAR CONTINUOUS TIME SYSTEMS; STEADY STATE FILTERING MATRIX;

CONTROL SYSTEM SYNTHESIS;

EID: 0032000927     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071798222721     Document Type: Article

References (24)

1. Anderson, B. D. O., and Moore, J. B., 1979, Optimal Filtering (Englewood Cliffs, NJ: Prentice-Hall).
2. Bolzern, P., Colaneri, P., and De Nicolao, G., 1996, Optimal robust filtering with time-varying parameter uncertainty. Int. J. Control, 63, 557-576.
3. ∞ norm and variance-constrained design using dynamic output feedback for linear discrete systems. Int. J. Control, 57, 473-484.
4. Chen, H., and Skelton, R. E., 1990, All covariance controllers for linear discrete-time systems. IEEE Trans. Automat. Control, 35, 944-948.
5. Chilali, M., and Gahinet, P., 1996, H∞ design with pole placement constraints: an LMI approach. IEEE Trans. Automat. Control., 41, 358-367.
6. Chou, J. H., 1991, Pole-assignment robustness in a specified disk. Syst. Control Lett., 16, 41-44.
7. Furuta, K., and Kim, S. B., 1987, Pole assignment in a specified disk. IEEE Trans. Automat. Control, 32, 423-427.
8. Garcia, G., and Bernussou, J., 1995, Pole assignment for uncertain systems in a specified disk by state feedback. iEeE Trans. Automat. Control., 40, 184-190.
9. Geromel, J. C., Peres, P. L. D., and Souza, S. R., 1993, Output feedback stabilization of uncertain systems through a min/max problem. Prep. 12th IFAC World Congress, Sydney, Australia.
10. Grigoriadis, K. M., and Skelton, R. E., 1993, Low-order control design for BMI problems using alternating projection methods. Proc. Allerton. Conference.
11. Haddad, W. M., and Bernstein, D. S., 1992, Controller design with regional pole constraints. IEEE Trans. Automat. Control, 37, 54-69.
12. Khargonekar, P. P., Petersen, I. R., and Zhou, K., 1990, Robust stabilization of uncertain linear system: quadratic stabilizability and control theory, IEEE Trans. Automat. Control, 35, 356-361.
13. NaNacara, W., and Yaz, E., 1994, Linear and nonlinear estimation with uncertain observations. Proc. American Control Conference, Maryland, USA.
14. Petersen, I. R., and MeFarlane, D. C., 1991, Robust state estimation for uncertain systems. Proc. 30th Conf. on Decision and Control, Brighton, England; 1994, Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Trans. Automat. Control, 39, 1971-1977.
15. Reza Moheimani, S. O., and Petersen, I. R., 1996, Quadratic guaranteed cost control with robust pole placement in a disk. IEE Proc. Control Theory Appl., 143, 37-43.
16. Skelton, R. E., and Iwasaki, T., 1993, Liapunov and covariance controllers. Int. J. Control, 57, 519-536.
17. Stengel, R. F., 1986, Stochastic Optimal Control: Theory and Application (New York: Wiley).
18. 2/H∞ state estimation for discretetime systems with error variance constraints. IEEE Trans. Automat. Control, 42, 1431-1435.
19. Xie, L., and Soh, Y. C., 1994, Robust Kalman filtering for uncertain systems. Syst. Control Lett, 22, 123-129.
20. Xie, L., Soh, Y. C., and De Souza, C. E., 1994, Robust Kalman filtering for uncertain discrete-time systems. IEEE Trans. Automat. Control, 39, 1310-1314.
21. Yaz, E., Azemi, A., and Skelton, R. E., 1992, Design of covariance controllers and estimators with prescribed pole locations. Proc. 31st IEEE Conf. on Decision and Control, Tuscon, AZ, USA.
22. Yaz, E., and NaNacara, W., 1993, Nonlinear estimation by covariance assignment. Prep. 12th IFAC World Congress, Sydney, Australia.
23. Yaz, E., and Skelton, R. E., 1991, Continuous and discrete state estimation with error covariance assignment. Proc. 30th IEEE Conf. on Decision and Control, Brighton, UK.
24. Yaz, E., Skelton, R. E., and Grigoriadis, E., 1993, Robust regional pole assignment with output feedback. Proc. 32nd IEEE Conf. on Decision and Control., pp. 3009-3013.