STABILITY ANALYSIS OF DISCRETE-TIME SDRE FILTER IN STOCHASTIC DOMAIN

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BEIKZADEH HOSSEIN; TAGHIRAD HAMID REZA

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: Journal of Control Year:2011 | Volume:5 | Issue:2 Page(s): 1-11

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Title

STABILITY ANALYSIS OF DISCRETE-TIME SDRE FILTER IN STOCHASTIC DOMAIN

Author(s)

BEIKZADEH HOSSEIN | TAGHIRAD HAMID REZA | Issue Writer Certificate

Keywords

NONLINEAR OBSERVERQ3

SDRE OBSERVERQ3

STOCHASTIC STABILITY OF NONLINEAR SYSTEMSQ3

DISCRETE-TIME NONLINEAR OBSERVERQ3

STABILITY ANALYSISQ2

BOUND OF MEAN SQUARED ERRORQ3

Abstract

Stability of SDRE OBSERVERs is usually analyzed in a deterministic framework, where the performance of the observer is not perturbed by external noises. However, plant uncertainty and measurement noises are not negligible in real implementations. In this paper based on the stability results developed for Kalman-Bucy filters and stochastic STABILITY ANALYSIS of nonlinear systems, the stability of an SDRE filter is analyzed in discrete-time domain. Sufficient conditions are given to limit the estimation errors in sense of mean-squared measure. Furthermore, it is shown that in practical situations there exist feasible regions to satisfy the stability conditions, provided that the initial error and the norm of plant uncertainty and measurement noises are sufficiently small. Finally, the stability conditions are verified through simulation of a typical nonlinear system.

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References

EXPONENTIAL NONLINEAR OBSERVER DESIGN BASED ON DIFFERENTIAL STATE-DEPENDENT RICCATI EQUATION

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APA: Copy

BEIKZADEH, HOSSEIN, & TAGHIRAD, HAMID REZA. (2011). STABILITY ANALYSIS OF DISCRETE-TIME SDRE FILTER IN STOCHASTIC DOMAIN. JOURNAL OF CONTROL, 5(2), 1-11. SID. https://sid.ir/paper/120832/en

Vancouver: Copy

BEIKZADEH HOSSEIN, TAGHIRAD HAMID REZA. STABILITY ANALYSIS OF DISCRETE-TIME SDRE FILTER IN STOCHASTIC DOMAIN. JOURNAL OF CONTROL[Internet]. 2011;5(2):1-11. Available from: https://sid.ir/paper/120832/en

IEEE: Copy

HOSSEIN BEIKZADEH, and HAMID REZA TAGHIRAD, “STABILITY ANALYSIS OF DISCRETE-TIME SDRE FILTER IN STOCHASTIC DOMAIN,” JOURNAL OF CONTROL, vol. 5, no. 2, pp. 1–11, 2011, [Online]. Available: https://sid.ir/paper/120832/en

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