Model validation and state estimation for uncertain continuous-time systems with missing discrete-continuous data

Computers and Electrical Engineering

Volumn 25, Issue 1, 1999, Pages 29-43

  Savkin, Andrey V ^a   Petersen, Ian R ^b   Reza Moheimani, S O ^c  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

^c UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Missing data; Model validation; Robust state estimation; Sampled data; Uncertain systems

Indexed keywords

DISCRETE-CONTINUOUS DATA;

MATHEMATICAL MODELS; RICCATI EQUATIONS; SAMPLED DATA CONTROL SYSTEMS; STATE ESTIMATION; UNCERTAIN SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0032634562     PISSN: 00457906     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7906(98)00024-X     Document Type: Article

References (18)

1. Savkin AV, Petersen IR. Recursive state estimation for uncertain systems with an integral quadratic constraint. IEEE Trans Automatic Control 1995;40(6):1080-3.
2. Savkin AV, Petersen IR. Model validation for robust control of uncertain systems with an integral quadratic constraint. Automatica 1996;32(4):603-6.
3. Savkin AV, Petersen IR. Robust state estimation for discrete-time uncertain systems with a deterministic description of noise and uncertainty. In: Proceedings of the IFAC Conference on Youth Automation. Beijing, 1995.
4. Bertsekas DP, Rhodes IB. Recursive state estimation for a set-membership description of uncertainty. IEEE Trans Automatic Control 1971;16(2):117-28.
5. Petersen I, McFarlane DC. Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Trans Automatic Control 1994;39(9):1971-7.
6. de Souza C, Shaked U, Fu M. Robust H infinity filtering for continuous time varying uncertain systems with deterministic input signals. IEEE Trans Signal Process 1995;45(3):709.
7. Sun W, Nagpal KM, Khargonekar PP. H infinity control and filtering for sampled-data systems. IEEE Trans Automatic Control 1993;38(8):1162.
8. Chen G. A simple treatment for suboptimal Kalman filtering in case of measurement data missing. IEEE Trans Aerospace Electron Syst 1990;26:413-5.
9. Parzen E. Time series analysis of irregularly observed data. New York: Spring-Verlag, 1984.
10. Smith RS. Model validation for uncertain systems. Ph.D. Thesis. Pasadena, CA: California Institute of Technology, 1990.
11. Smith RS, Doyle JC. Model validation: a connection between robust control and identification. IEEE Trans Automatic Control 1992;137(7):942-52.
12. Poolla K, Khargonkar P, Tikku A, Krause J, Nagpal K. A time-domain approach to model validation. In: Proceedings of the 1992 American Control Conference. Chicago, IL, 1992. p. 313-7.
13. Zhou T, Kimura H. Input-output extrapolation-minimization theorem and its application to model validation and robust identification. In: Smith R, Dahleh M, editors. The modeling of uncertainty in control, Proceedings of the 1992 Santa Barbara Workshop'. London, England: Springer Verlag, 1993. p. 127-38.
14. Yakubovich VA. Minimization of quadratic functionals under the quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems. Sov Math Dokl 1973;14:593-7.
15. ∝ control and the absolute stabilizability of uncertain systems. Syst Control Lett 1994;23(3):197-203.
16. Savkin AV, Petersen IR. Minimax optimal control of uncertain systems with structured uncertainty. Int J Robust Nonlinear Control 1995;5(2):119-37.
17. Clements DJ, Anderson BDO. Singular optimal control: the linear-quadratic problem. Berlin, Germany: Springer Verlag, 1978.
18. Lewis FL. Optimal control. New York, NY: Wiley, 1986.