Sliding Mode Observer for Triangular Input Hybrid System

Djemaï, M.; Manamanni, Noureddine; Barbot, Jean Pierre

doi:10.3182/20050703-6-cz-1902.00315

Cited by 23 publications

(8 citation statements)

References 17 publications

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“…13 2. In [16], a step-by-step first order sliding mode observer was mainly employed for the same reasons: the finite time convergence and the ability to take naturally into account the variable structure of the hybrid system. Nevertheless, some difficulties occurred due to the chattering phenomena.…”

Section: Switched Systemmentioning

confidence: 99%

Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs

Floquet

Barbot

2007

International Journal of Systems Science

179

109

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. Super twisting algorithm based step-by-step sliding mode observers for nonlinear systems with unknown inputs. International Journal of Systems Science, Taylor Francis, 2007, 38 (10), pp.803-815. inria-00128137v2 Super twisting algorithm based step-by-step sliding mode observers for nonlinear systems with unknown inputsThis paper highlights the interest of step-by-step higher order sliding mode observers for MIMO nonlinear systems with unknown inputs. A structural matching condition, stating on the possibility to design such observers and to reconstruct the unknown inputs, is derived. A finite time sliding mode observer, based on the hierarchical use of the super twisting algorithm, is developed. Then, it is shown that this observer is of interest in the field of hybrid systems and systems with observability singularities. Lastly, it is shown through an example how to relax the usual matching condition by the means of this type of finite time sliding mode observer.

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Section: Switched Systemmentioning

confidence: 99%

Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs

Floquet

Barbot

2007

International Journal of Systems Science

179

109

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“…Assumption 1: Through this paper, it is assumed that all the evolution durations (dwell time [4]) of each subsystem of (1) are Lebesgue measurable.…”

Section: Observers Designmentioning

confidence: 99%

“…Another feature of the differentiator (3) is the fact that the output u 1 does not depend directly on discontinuous functions but on an integrator output. So high frequency chattering, which can be very harmful for the system (see for example chaotic system known for its extreme sensitivity to noise [4]). These properties are important since the switching function can be obtained in a continuous way and without delays and chattering.…”

Section: A Sliding Mode Differentiator Of Ordermentioning

confidence: 99%

High order sliding mode and adaptive observers for a class of switched systems with unknown parameter: A comparative study

Saadaoui

León

Djemaï

et al. 2006

Proceedings of the 45th IEEE Conference on Decision and Control

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This paper deals will the observation of a particular class of switched system. Two methodologies of designing an observer are considered in order to estimate the state of the switched system and unknown parameters. The first approach is based on a robust differentiator via a sliding mode technique, the other one is based on an adaptive observer. Furthermore, an analysis of convergence for both observers is introduced. Finally some illustrative results are given in order to show the efficiency of the designed observers.

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“…In fact, there are no parallel results to that of linear hybrid systems as far as the synthesis of nonlinear observers is concerned. For example, in [8], a step by step sliding mode observer is employed to estimate continuous and discrete states. However, this gives rise to the chattering phenomena and the method generates a delay time which induces some irrelevant switching decisions between subsystems.…”

Section: Introductionmentioning

confidence: 99%

Observer design for some classes of uniformly observable nonlinear hybrid systems

Barhoumi

M’Śahli

Djemaï

et al. 2012

Nonlinear Analysis: Hybrid Systems

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Sliding Mode Observer for Triangular Input Hybrid System

Cited by 23 publications

References 17 publications

Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs

Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs

High order sliding mode and adaptive observers for a class of switched systems with unknown parameter: A comparative study

Observer design for some classes of uniformly observable nonlinear hybrid systems

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