Coupled Tanks State Estimation Using a High-Gain Like Observer

Adil, Ania; Ndoye, Ibrahima; Zemouche, Ali; Hamaz, Abdelghani; Laleg‐Kirati, Taous‐Meriem

doi:10.1016/j.ifacol.2021.10.335

Cited by 4 publications

(2 citation statements)

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“…The physical parameter' values of system (28) are stated in Table I. To design the high-gain observer, the coupled-tanks system (28) is first transformed into an observable canonical form [25], represented by system (1) where:…”

Section: Numerical Simulationsmentioning

confidence: 99%

See 1 more Smart Citation

High-Gain Observer Design for Nonlinear Systems with Delayed Output Measurements using Time-Varying Gains

Adil

Ndoye

Laleg‐Kirati

2022

2022 IEEE 61st Conference on Decision and Control (CDC)

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This paper proposes a high-gain observer design for nonlinear systems with delayed output measurements using time-varying gains. The proposed observer is endowed with an exponential stability guarantee and relies on the generalization of the Halanay-type inequalities. We establish that the estimated state and the adapted gain are exponentially bounded and prevent the oscillatory response of the estimates. The timevarying gain feature limits the constant high-gain values of the standard high-gain observer design to the minimum gain required to achieve stability. Furthermore, we derive an explicit relation between the maximum bound of the delay and the maximum gain parameter by using a Lyapunov-Krasovskii functional jointly with the time-varying Halanay inequality. Finally, a comparison with the standard high-gain observer is provided through numerical simulations to demonstrate the superiority of the proposed high-gain observer in rejecting the noise and reducing the peaking phenomena.

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Section: Numerical Simulationsmentioning

confidence: 99%

“…We compare the proposed observer to the standard high-gain observer [25], which can be constructed as follow…”

Section: Numerical Simulationsmentioning

confidence: 99%