Experimental Synchronization by Means of Observers

Martínez-Guerra, Rafael; Pérez-Pinacho, Claudia A.; Gómez-Cortés, Gian Carlo

doi:10.1007/978-3-319-15284-4_4

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The Design State Of the High Gain Observer2

Introduction1

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2019

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Cited by 1 publication

(3 citation statements)

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“…For the nonlinear system (5), the synthesis of such observer certain conditions is necessary. For this reason, some assumptions are cited to consist the design state of observer for system [18].…”

Section: The Design State Of the High Gain Observermentioning

confidence: 99%

“…Finally, the sliding-mode observer for classes of non-linear systems ( 5) can be written in the following form: 𝑥 ̂̇= 𝑓(𝑢, 𝑥 ̂) − 𝜃𝛥 𝜃 −1 𝑆 −1 𝜂𝐶 𝑇 𝐶𝑇𝑎𝑛ℎ(𝑥 ̂(𝑡) − 𝑥(𝑡)) (18) So the equation ( 11) is rewritten:…”

Section: The Design State Of the Sliding Mode Observermentioning

confidence: 99%

“…Chaos in the Colpitts oscillator has been reported first by Kennedy [1][2][3]. Later, the chaotic behavior of this oscillator has been investigated by several authors due to its applications in encryption and modulation methods applied to communication systems [15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Comparative Study of Nonlinear Observers Applied to the Colpitts Circuit

Errachdi¹,

Benrejeb²

2019

AMA_A

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In this paper, nonlinear observer design for a chaotic system has been investigated. Indeed, a high gain observer and a sliding mode observer are proposed to the Colpitts circuit. The synthesis of these observers took place under certain sufficient conditions arising directly necessary and sufficient conditions established for nonlinear systems. Comparing with the results obtained by these observers, the high gain observer showed a good ability to reconstruct the states of the chaotic system and providing a small mean squared error compared to that of the sliding mode observer.

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Section: The Design State Of the High Gain Observermentioning

confidence: 99%

Section: The Design State Of the Sliding Mode Observermentioning

confidence: 99%