Design of a Functional H Filter for Linear Singular Systems With an Additional Unknown Input, Bounded Disturbance, and Variable Time Delay

Hamzaoui Fatma, Khadhraoui Malek, Messaoud Hassani

Source Title: International Journal of System Dynamics Applications (IJSDA)9(4)

ISSN: 2160-9772|EISSN: 2160-9799|EISBN13: 9781799807964|DOI: 10.4018/IJSDA.2020100102

MLA

Fatma, Hamzaoui, et al. "Design of a Functional H Filter for Linear Singular Systems With an Additional Unknown Input, Bounded Disturbance, and Variable Time Delay." IJSDA vol.9, no.4 2020: pp.24-54. http://doi.org/10.4018/IJSDA.2020100102

APA

Fatma, H., Malek, K., & Hassani, M. (2020). Design of a Functional H Filter for Linear Singular Systems With an Additional Unknown Input, Bounded Disturbance, and Variable Time Delay. International Journal of System Dynamics Applications (IJSDA), 9(4), 24-54. http://doi.org/10.4018/IJSDA.2020100102

Chicago

Fatma, Hamzaoui, Khadhraoui Malek, and Messaoud Hassani. "Design of a Functional H Filter for Linear Singular Systems With an Additional Unknown Input, Bounded Disturbance, and Variable Time Delay," International Journal of System Dynamics Applications (IJSDA) 9, no.4: 24-54. http://doi.org/10.4018/IJSDA.2020100102

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Abstract

This paper deals with a new method for the design of a functional filter for linear singular systems with bounded disturbance and variable time delay in the state and the known input vectors. Moreover, a disturbance unknown inputs is considered. The main objective of such design is the estimation of functional state vector, and a part of the disturbance unknown inputs for fault detection. The proposed design is based on Lyapunov-Krasovskii stability theory and, in order to minimize the disturbance effect, the designed filter satisfies a H_∞ criterion. Numerical simulation is used to illustrate the proposed design and the results were successful.