Robust Observer Design for a Class of Nonlinear Systems Using the System Internal Dynamics Structure

Diao, Zhihua; Yan, Xing‐Gang

doi:10.1007/s10957-008-9388-0

Cited by 5 publications

(2 citation statements)

References 17 publications

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“…Fundamentally the work in [4] is extended for large scale systems. A robust variable structure observer is established based on a simplified system structure by using Lyapunov analysis.…”

Section: Introductionmentioning

confidence: 99%

Variable structure observer for a class of nonlinear large-scale interconnected systems with uncertainties

Mohamed

Yan

Spurgeon

et al. 2016

2016 14th International Workshop on Variable Structure Systems (VSS)

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Abstract-In this paper, a variable structure observer design approach is proposed for a class of nonlinear, large-scale interconnected systems in the presence of unstructured uncertainty. The modern geometric approach is exploited to explore the system structure and a transformation is developed to facilitate observer design. Using the Lyapunov direct method, a robust asymptotic observer is presented which exploits the internal dynamic structure of the system as well as the structure of the uncertainties. The bounds on the uncertainties are nonlinear and are employed in the observer design to reject the effect of the uncertainties. A numerical example is presented to illustrate the approach and the simulation results show that the proposed approach is effective.

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“…Fundamentally the work in [4] is extended for large scale systems. A robust variable structure observer is established based on a simplified system structure by using Lyapunov analysis.…”

Section: Introductionmentioning

confidence: 99%

Variable structure observer for a class of nonlinear large-scale interconnected systems with uncertainties

Mohamed

Yan

Spurgeon

et al. 2016

2016 14th International Workshop on Variable Structure Systems (VSS)

View full text Add to dashboard Cite

show abstract

“…When the relative degree condition is not satisfied, conditions on the input can be given to ensure convergence (Dalla Mora, Germani, and Manes 2000), or a further assumption of stability of the zero-dynamics is required (Diao and Yan 2008).…”

Section: Introductionmentioning

confidence: 99%

Observability through delayed measurements: a new approach to state observers design

Cacace¹,

Germani²,

Manes³

2010

International Journal of Control

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An original approach for the construction of state observers for dynamic systems is presented in this article. New notions of observability (delay-observability and delay-drift-observability), useful for the development of the observer equations and for the convergence proof, are introduced and compared with other standard observability concepts. In particular, it is shown that delay-drift-observability is an extension of the well-known drift-observability property. The construction of the proposed observer is straightforward and does not require any coordinate transformation of the system into a canonical form, which is a common feature of many other approaches. A numerical example is reported, where a system that is not drift-observable is considered. In this case, the proposed observer is easily constructed and performs well.

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Variable Structure Observers for Nonlinear Interconnected Systems

Mohamed

Yan

Spurgeon

et al. 2017

Advances in Variable Structure Systems and Sliding Mode Control—Theory and Applications

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Robust Observer Design for a Class of Nonlinear Systems Using the System Internal Dynamics Structure

Cited by 5 publications

References 17 publications

Variable structure observer for a class of nonlinear large-scale interconnected systems with uncertainties

Variable structure observer for a class of nonlinear large-scale interconnected systems with uncertainties

Observability through delayed measurements: a new approach to state observers design

Variable Structure Observers for Nonlinear Interconnected Systems

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