Observer-based sliding mode control for discrete-time nonlinear system with time-varying delay

Yassine, Benyazid; Nouri, Ahmed Saïd

doi:10.1177/09596518221105667

Cited by 3 publications

(3 citation statements)

References 32 publications

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“…Actually, most real-world industrial processes present nonlinear behavior. For decades, the study of nonlinear systems has attracted much research interest, including system identification, [1][2][3] system control, 4,5 state estimation, [6][7][8][9] and so on. In the identification area, 10 the works that are elaborated on the class of nonlinear systems concern some specific structure of models, such as black-box models, fuzzy and neural network models, and block-structured models [11][12][13][14] .…”

Section: Introductionmentioning

confidence: 99%

On the combined estimation of the parameters and the states of fractional-order systems

Marzougui

Bedoui

Abderrahim

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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In this article, we propose an approach for system identification for a class of discrete-time fractional-order Hammerstein systems using only input–output data. Using a combined state and parameter estimation approach, we develop an algorithm serving to estimate simultaneously, the system parameters, the system orders, and the system states. By minimizing the defining criterion, which is non-convex and nonlinear in the parameters, the model parameters are estimated using the recursive least squares and the Levenberg–Marquardt algorithms. Next, the system states are estimated using the Luenberger observer. Then, the convergence analysis of the proposed algorithm is proved. Finally, the Monte Carlo simulation analysis and an application to Ultracapacitor system are used to demonstrate the effectiveness of the suggested method.

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Section: Introductionmentioning

confidence: 99%

On the combined estimation of the parameters and the states of fractional-order systems

Marzougui

Bedoui

Abderrahim

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…Estimating state vectors of dynamical systems is essential in many engineering applications. For example, the information of state estimates is used for monitoring of oscillations and tuning of power system stabilizers to suppress any detected oscillations, 1 observer-based control implementation, [2][3][4][5][6] nonlinear complex networks with colored noise, 7 intelligent controller, 8 and fault detection. 9 The design of state observers has been widely used in various engineering fields, including power engineering, transportation, and aerospace engineering (see, for example, for linear systems, [10][11][12] and for nonlinear systems) [13][14][15][16][17][18][19] .…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Discrete-time event-triggered state estimation of permanent magnet synchronous motor

Huong,

Phuc

2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article considers the design of a discrete-time event-triggered state observer and its application for state vector estimation of permanent magnet synchronous motor. A novel discrete-time event-triggered mechanism is first proposed, and then a new event-triggered state observer is designed to estimate the state vectors of a nonlinear system subject to unknown disturbances. Unlike traditional state estimation methods, the one in this article utilizes information on the output, which only updates when an event-triggered condition holds. By employing the Lyapunov–Krasovskii approach and well-known inequalities, we derive a sufficient condition in terms of a convex optimization problem to guarantee the existence of the event-triggered state observer. Finally, the theoretical analysis of the proposed method is applied to estimate the state vector of the permanent magnet synchronous motor.

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Design of event-triggered natural second-order observers for second-order vector systems

Huong,

Huynh,

Trinh

2024

Proceedings of the Institution of Mechanical Engineers, Part I:

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The problem of designing event-triggered natural second-order state observers for second-order vector systems subject to external disturbances is considered in this paper. In this work, state observer is constructed using discrete measurements at instants when an event-triggered condition is satisfied. Due to the errors that arise by using the event-triggered mechanism and the external disturbance, the method in this paper only robustly estimates the state position and the state velocity of the second-order vector observers instead of estimating them asymptotically. Instead of using the method based on a parameter-dependent Lyapunov function in investigating the stability of the dynamic error system of natural second-order observers, a convex optimization problem is established in this paper to give an event-triggered mechanism and minimized levels in evaluating the boundedness of the dynamic error system of the event-triggered natural second-order observers. An automobile suspension and two numerical examples demonstrate the effectiveness of the proposed method.

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Observer-based sliding mode control for discrete-time nonlinear system with time-varying delay

Cited by 3 publications

References 32 publications

On the combined estimation of the parameters and the states of fractional-order systems

On the combined estimation of the parameters and the states of fractional-order systems

Discrete-time event-triggered state estimation of permanent magnet synchronous motor

Design of event-triggered natural second-order observers for second-order vector systems

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