State and adaptive disturbance observer co‐design for incrementally quadratic nonlinear descriptor systems with nonlinear outputs

Liu, Leipo; Wen, Qiaofeng; Li, Yanan; Fu, Dexin; Fu, Zhumu

doi:10.1002/rnc.6908

Cited by 7 publications

(2 citation statements)

References 38 publications

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“…Systems with disturbances that originate from an external and unknown exogenous system have been studied in [35]. It introduces state and adaptive disturbance observers for three distinct scenarios, i.e., linearities, decoupled nonlinearities, and coupled nonlinearities within the output equation.…”

Section: Incremental Quadratic Constraintsmentioning

confidence: 99%

“…lag synchronization [70], which synchronizes with a delayed state ||x(t − τ ) + x(t)|| → 0, (35) projective synchronization [20], which synchronizes with a scaled state ||ax(t) + x(t)|| → 0, (36) and function projective synchronization [36], which synchronizes with a scaled function state ||a(t)x(t) + x(t)|| → 0. (37)…”

Section: Other Types Of Synchronizationmentioning

confidence: 99%

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Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Tripathi,

Moysis,

Gupta

et al. 2024

Circuits Syst Signal Process

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In general, the construction of observers for nonlinear descriptor systems depends on the solvability of a linear matrix inequality involving system matrices, and it is based on the system’s nonlinearity. Therefore, the type of nonlinearity present in the system heavily affects the observer design process. There are significant developments in the literature for observer design for descriptor systems with various types of nonlinearity. Motivated by this, the current work reviews the literature on observer design for nonlinear descriptor systems with an extensive discussion on the type of nonlinearities that are considered. Here, an analysis and the comparison on the most common nonlinearities is presented, providing a roadmap to all researchers in the field. Furthermore, less common nonlinearities have been identified, presenting under-explored areas within the literature, and can open new domains for future research.

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Section: Incremental Quadratic Constraintsmentioning

confidence: 99%

Section: Other Types Of Synchronizationmentioning

confidence: 99%

Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Tripathi,

Moysis,

Gupta

et al. 2024

Circuits Syst Signal Process

View full text Add to dashboard Cite

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Stubborn State and Disturbance Observer Co‐Design for Nonlinear Descriptor Systems With δQC$$ \delta \mathrm{QC} $$ via a Dynamic Event‐Triggered Mechanism

Liu,

Wen,

et al. 2024

Intl J Robust & Nonlinear

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This article studies the state and disturbance simultaneous estimation problem for a class of nonlinear descriptor systems with using a dynamic event‐triggered mechanism. refers to incremental quadratic constraints, which can provide a unified description of many types of common nonlinear functions. To reduce the negative impact of measurement outliers on the identification estimation, a stubborn state and disturbance observer co‐design scheme is proposed for the first time by embedding dynamic saturation output estimation errors. Meanwhile, a dynamic event‐triggered mechanism is introduced to avoid the need for continuously available output information, which can reduce the pressure on communication resources. By constructing a Lyapunov function, existence conditions of the stubborn state and disturbance observer are obtained in the form of a convex optimization problem so that the error estimation maintains an acceptable estimation performance. Finally, simulation examples illustrate the universality and stubbornness of the proposed observer.

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Adaptive disturbance observer-based finite-time command filtered control of nonlinear systems

Bai,

Yao,

et al. 2024

Journal of the Franklin Institute

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State and adaptive disturbance observer co‐design for incrementally quadratic nonlinear descriptor systems with nonlinear outputs

Cited by 7 publications

References 38 publications

Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities

Stubborn State and Disturbance Observer Co‐Design for Nonlinear Descriptor Systems With δQC$$ \delta \mathrm{QC} $$ via a Dynamic Event‐Triggered Mechanism

Adaptive disturbance observer-based finite-time command filtered control of nonlinear systems

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