Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

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

doi:10.1109/icsc50472.2021.9666587

Cited by 3 publications

(9 citation statements)

References 20 publications

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“…However, attempts to incorporate PTS into observing states and perturbations are rare. Five predefined-time observers (PTOs) 25,[40][41][42][43] have been developed and they have the following merits (1) The UBST is explicitly predefined by one design parameter, which significantly simplifies the tuning method for temporal demands. (2) The predefined UBST closely approximates the actual settling time.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, a PTO is an ideal tool for simultaneously realizing fast observation and high dynamic performance. Regrettably, PTOs 25,40,41 are invalid for nonlinear strict-feedback systems.The PTO 42 was constructed using the solution of a linear matrix inequality, while the existence condition of the solution has not been provided theoretically. Besides, nonlinear functions were assumed Lipschitz continuous.…”

Section: Introductionmentioning

confidence: 99%

“…Besides, nonlinear functions were assumed Lipschitz continuous. 42 The PTO 43 requires a Lipschitz growth condition of nonlinearity and cannot realize vanishing observation errors when perturbations exist. Note that the Lipschitz growth is a special case of the Hölder growth.…”

Section: Introductionmentioning

confidence: 99%

“…It is noteworthy that the correction terms of observers [25][26][27][28][29][30][31][32][33][34][35][40][41][42][43] are preset and nonadaptive to the magnitude of perturbation. Consequently, high transient performance cannot be guaranteed consistently when a wide-range perturbation occurs in practice.…”

Section: Introductionmentioning

confidence: 99%

“…26-35 3. Correction terms governing the transient process of the PTO are adaptively adjusted following the magnitude of perturbation, which outperform nonadaptive correction terms of observers [25][26][27][28][29][30][31][32][33][34][35][40][41][42][43] by significantly improving the transient performance under wide-range time-varying perturbations. 4.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Adaptive predefined‐time observer design for generalized strict‐feedback second‐order systems under perturbations

Liang³

et al. 2022

Intl J Robust & Nonlinear

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This article studies the predefined-time observation problem of generalized strict-feedback second-order systems commonly encountered in practice.A nonaffine control input, a matched perturbation, and nonlinear functions satisfying the Hölder growth condition are considered. A class of adaptive predefined-time observers (PTOs) is designed to reconstruct unknown states and lumped perturbations based on a barrier function and specific time-varying functions. Distinct from existing observers for strict-feedback systems, the PTO accomplishes a complete reconstruction in a predefined time with trivial peaking observation errors. Furthermore, the upper bound of the settling time of the PTO is tightly and explicitly predefined by only one design parameter, and is irrelevant to the initial conditions. Hence, tuning procedures for the physically realizable temporal demands become less conservative and more straightforward. Moreover, the adaptive coefficients of the PTO are self-adjusted along with the magnitude of perturbation, efficiently improving the transient performance under wide-range perturbations. Finally, numerical simulations on a robot manipulator system demonstrate the effectiveness of the PTO. K E Y W O R D Sadaptive coefficients, adaptive predefined-time observer, generalized strict-feedback second-order system, peaking observation error, upper bound of the settling time Jixing Lv and Xiaozhe Ju contributed equally to this work.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Adaptive predefined‐time observer design for generalized strict‐feedback second‐order systems under perturbations

Liang³

et al. 2022

Intl J Robust & Nonlinear

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A class of adaptive predefined‐time extended state observers for high‐order strict‐feedback systems

Lv,

Ju,

Wang

et al. 2024

Intl J Robust & Nonlinear

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Fast state estimation for nonlinear systems has been a key issue in control theory and the recently developed predefined‐time stability acts as an effective tool for the problem. However, the studies of predefined‐time state observer for nonlinear systems are rare. In this article, we consider the predefined‐time extended state observer (PTESO) design for a class of high‐order strict‐feedback systems subject to Hölder continuous nonlinearities and lumped disturbance. By developing an adaptive mechanism and using time‐varying functions, a class of adaptive PTESOs is designed to estimate the unavailable states and the lumped disturbance, in which the convergence time can be tightly and explicitly preset by only one parameter, irrelevant to the initial conditions. The adaptive mechanism is used to improve the transient performance under wide‐range lumped disturbance. Moreover, thanks to the design of the time‐varying gains, the PTESO could realize fast observation with trivial peaking observation errors. Finally, simulation results are provided to illustrate the effectiveness of the proposed observer.

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A class of adaptive predefined-time extended state observers for high-order strict-feedback systems

Ju,

Lv,

wang

et al. 2023

Preprint

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In this paper, we consider the predefined-time extended state observer (PTESO) design for a class of high-order strict-feedback systems subject to Hölder continuous nonlinearities and multiple disturbances. By developing an adaptive mechanism and using time-varying functions, a class of adaptive PTESOs is designed, in which the convergence time can be tightly and explicitly preset by only one parameter, irrelevant to the initial conditions. The adaptive mechanism is used to improve the transient performance under wide-range lumped disturbance. Moreover, thanks to the design of the time-varying gains, the PTESO could realize fast observation with trivial peaking observation errors. Finally, simulation results are provided to illustrate the effectiveness of the proposed observer.

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Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

Cited by 3 publications

References 20 publications

Adaptive predefined‐time observer design for generalized strict‐feedback second‐order systems under perturbations

Adaptive predefined‐time observer design for generalized strict‐feedback second‐order systems under perturbations

A class of adaptive predefined‐time extended state observers for high‐order strict‐feedback systems

A class of adaptive predefined-time extended state observers for high-order strict-feedback systems

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