Robust state estimation for singularly perturbed systems

This paper deals with the design of interval observers for singularly perturbed linear systems. The full-order system is first decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow and fast subsystems assuming that the measuremen...

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Bibliographic Details
Published in:International journal of control 2017-03, Vol.90 (3), p.566-579
Main Authors: Yousfi, B., Raïssi, T., Amairi, M., Gucik-Derigny, D., Aoun, M.
Format: Article
Language:English
Subjects:
Automatic
cooperativity
Decoupling
Efficiency
Engineering Sciences
Interval observers
Intervals
Linear systems
Mathematical models
Observers
Parameter uncertainty
singularly perturbed systems
State estimation
uncertainties
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Summary:This paper deals with the design of interval observers for singularly perturbed linear systems. The full-order system is first decoupled into slow and fast subsystems. Then, using the cooperativity theory, an interval observer is designed for the slow and fast subsystems assuming that the measurement noise and the disturbances are bounded and the singular perturbed parameter is uncertain. This decoupling leads to two observers that estimate the lower and upper bounds for the feasible state domain. A numerical example shows the efficiency of the proposed technique.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2016.1186842