State and input estimation for a class of uncertain systems

Automatica

Volumn 34, Issue 6, 1998, Pages 757-764

  Corless, Martin ^a   Tu, Jay ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Disturbance estimation; Linear matrix inequalities; Lyapunov; Observers; State estimation; Uncertain systems

Indexed keywords

LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; STATE ESTIMATION; TIME VARYING CONTROL SYSTEMS;

LINEAR MATRIX INEQUALITIES; UNCERTAIN SYSTEMS;

CONTROL SYSTEM ANALYSIS;

EID: 0032092234     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00013-2     Document Type: Article

References (31)

1. Basile, G. and G. Marro (1969). On the observability of linear, time-invariant systems with unknown inputs. J. Optim. Theory Appl., 3, 410-415.
2. Bhattacharyya, S. P. (1978). Observer design for linear systems with unknown inputs. IEEE Trans. Automat. Control, AC-23, 483-484.
3. Boyd, S., L. El Ghaoui, E. Feron and V. Balakrishnan (1994). Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia.
4. Breinl, W. and G. Leitmann (1987). State feedback for uncertain dynamical systems. Appl. Math. Comput., 22, 65-87.
5. Chen, J., R. J. Patton and H.-Y. Zhang (1996). Design of unknown input observers and robust fault detection filters. Int. J. Control, 63, 85-105.
6. Chen, M.-S. (1990). Uncertainty estimator. In Proc. American Control Conf., pp. 2020-2024.
7. Chen, M.-S. and M. Tomizuka (1989). Disturbance estimator and its application in estimation of system output derivatives. In Proc. 28th IEEE Conf. Decision and Control, pp. 452-457.
8. Corless, M. and J. Tu (1997). State/input estimation for a class of uncertain systems. Technical Report, Purdue University.
9. Darouach, M., M. Zasadzinski and S. J. Xu (1994). Full-order observers for linear systems with unknown inputs. IEEE Trans. Automat. Control, AC-39, 606-609.
10. Fairman, F. W., S. S. Mahil and L. Luk (1984). Disturbance decoupled observer design via singular value decomposition. IEEE Trans. Automat. Control, AC-29, 84-86.
11. Gahinet, P., A. Nemirovsky, A. Laub and M. Chilali (1995). LMI Control Toolbox User's Guide. The Mathworks.
12. Guan, Y. and N. Saif (1991). A novel approach to the design of unknown input observers. IEEE Trans. Automat. Control, AC-36, 632-635.
13. Guidorzi, R. and G. Marro (1971). On Wonham stabilizability condition in the synthesis of observers for unknown-input systems. IEEE Trans. Automat. Control, AC-16, 499-500.
14. Gourishankar, V., P. Kudva and K. Ramar (1977). Reduced-order observers for multivariable systems with inaccessible disturbance inputs. Int. J. Control, 25, 311-319.
15. Hostetter, G. and J. S. Meditch (1973). Observing systems with unmeasurable inputs. IEEE Trans. Automat. Control, AC-18, 307-308.
16. Hou, M. and P. C. Müller (1992). Design of observers for linear systems with unknown inputs. IEEE Trans. Automat. Control, AC-37, 871-875.
17. Johnson, C. D. (1976). Theory of disturbance-accommodating controllers. In Leondes, C. T. (ed.), Control and Dynamic Systems, Vol. 12, Academic Press, New York.
18. Kobayashi, N. and T. Nakamizo (1982). An observer design for linear systems with unknown inputs. Int. J. Control, 35, 605-619.
19. Kudva, P., N. Viswanadham and A. Ramakrishna (1980). Observers for linear systems with unknown inputs. IEEE Trans. Automat. Control, AC-25, 113-115.
20. Kurek, J. (1982). Observation of the state vector of linear multivariable systems with unknown inputs. Int. J. of Control, 36, 511-515.
21. Miller, R. J. and R. Mukundan (1982). On designing reduced-order observers for linear time-invariant systems subject to unknown inputs. Int. J. Control, 35, 183-188.
22. Müller, P. C. (1990). Indirect measurements of nonlinear effects by state observers. In Proc. IUTAM Symp. Nonlinear Dynamics in Engineering Systems, University of Stuttgart, Springer, Berlin, pp. 205-215.
23. Park, Y. and J. L. Stein (1988). Closed-loop state and input observer for systems with unknown inputs. Int. J. Control, 48, 1121-1136.
24. Sannuti, P. and A. Saberi (1987). Special coordinate basis for multivariable linear systems-finite and infinite zero structure, squaring down and decoupling. Int. J. Control, 45, 1655-1704.
25. Sannuti, P. and A. Saberi (1990). Observer design for loop transfer recovery and for uncertain dynamical systems. IEEE Trans. Automat. Control, 35, 878-897.
26. Tu, J. F. (1991). On-line preload monitoring for high-speed anti-friction spindle bearings using robust state observers. Ph.D. Dissertation, Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI.
27. Tu, J. F. and J. L. Stein (1995). On-line preload monitoring for high-speed anti-friction spindle bearings. J. Dyn. Systems Meas. Control, 117, 43-53.
28. Tu, J. F. and J. L. Stein (1996). Modeling error compensation for bearing temperature and preload estimation. J. Dyn. Systems Meas. Control, 118, 580-585.
29. Wang, S. H., E. J. Davison and P. Dorato (1975). Observing the states of systems with unmeasurable disturbances. IEEE Trans. Automat. Control, 20, 716-717.
30. Watanabe, K. and D. M. Himmelblau, (1982). Instrument fault detection in systems with uncertainties. Int. J. System Sci., 13, 137-158.
31. Yang, F. and R. W. Wilde (1988). Observers for linear systems with unknown inputs. IEEE Trans. Automat. Control, 33, 677-681.