Sliding Mode Control for Disturbance Rejection in Systems with Measurement Delay using PDE-Backstepping Predictor

Pinto, Hardy; Oliveira, Tiago Roux; Hsu, Liu; Krstić, Miroslav

doi:10.23919/acc.2018.8431808

Cited by 5 publications

(5 citation statements)

References 23 publications

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“…Additionally, in the case of arbitrarily large constant delays, a prescribed‐time PDE predictor 26 can be designed in order to obtain finite‐time (faster than exponential) disturbance rejection SMC schemes. This is one of the substantial technical differences from the earlier conference paper 27 . This inclusion is important since in the previous results only asymptotic results could be proved.…”

Section: Introductionmentioning

confidence: 92%

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Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Pinto,

Oliveira,

Rodrigues

et al. 2023

Intl J Robust & Nonlinear

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In this article, we address the disturbance rejection problem for linear plants with delayed measured output. The output delay is allowed to be time‐varying and of arbitrary duration. The disturbances that may represent actuator faults are generated by an exogenous dynamic system and can be matched or unmatched. A predictor–based observer is designed via the PDE–backstepping (Partial Differential Equation–backstepping) method so that an estimate of the current state vector, as well as that of unmeasured disturbance, can be obtained. These estimates are used in to regulate the output and reject the disturbance by output feedback sliding mode control. In addition, a solution for finite‐time disturbance rejection (rather than exponential only) is also introduced when the sensor delay is constant. Numerical examples illustrate the performance and robustness of the both proposed predictor‐feedback control systems.

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Section: Introductionmentioning

confidence: 92%

“…This is one of the substantial technical differences from the earlier conference paper. 27 This inclusion is important since in the previous results only asymptotic results could be proved. Although this kind of observer had already been proposed in Reference 26, such method has never been tested in closed loop.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Pinto,

Oliveira,

Rodrigues

et al. 2023

Intl J Robust & Nonlinear

Self Cite

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“…The stabilization problem for nonlinear systems is one of the most important issues in the field of control, and many results have been reported. Backstepping technique 1‐4 and sliding‐mode‐control method 5‐10 as important tools, have been extensively studied. In particular, a novel time shift approach for actuator fault reconstruction of systems with arbitrary measurement delays was proposed based on sliding mode observer in Reference 9.…”

Section: Introductionmentioning

confidence: 99%

Composite‐observer‐based sampled‐data control for uncertain upper‐triangular nonlinear time‐delay systems and its application

Sheng

2021

Intl J Robust & Nonlinear

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This article studies the sampled‐data control problem for upper‐triangular nonlinear time‐delay systems with unknown output function and external disturbances. Different from the existing literature, the composite observers are proposed to deal with the unmeasurable states and disturbances. Next, the sampled‐data controller is elaborately constructed step‐by‐step. After selecting appropriate scaling gain L and sampling period T, the global uniform ultimate boundedness of system states can be skillfully proved. Finally, simulation examples are presented to demonstrate the effectiveness of the design method.

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“…Loukianov et al (2017) reported a predictor based robust control for uncertain linear delay systems via sliding mode control (SMC) with delays in both state and control loop. A predictor-based observer using a partial differential equation backstepping method for linear systems with output time varying delay is reported in Pinto et al (2018b). In the field of LFC, the presence of state and input delays are very challenging and has attracted the attention of research community over the last few decades.…”

Section: Introductionmentioning

confidence: 99%

Prediction-based super twisting sliding mode load frequency control for multi-area interconnected power systems with state and input time delays using disturbance observer

Dev

Léchappé

Sarkar

2019

International Journal of Control

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A shift in paradigm from dedicated to open communication channels in power systems have made them prone to constant and time varying delays. This paper tackles a novel load frequency control (LFC) problem in the presence of constant and time varying delays in state and control input under load disturbances. The presence of time delays can deteriorate the performance of the controller or even destabilize the system. The above problem is addressed through a prediction-based super twisting sliding mode control (ST-SMC) using a state and disturbance observer. The proposed design achieves finite time convergence of frequency and tie line power deviation. The said design is validated under ramp and random step disturbance, with nonlinearities like generation rate constraints and governor deadband, with an integration of renewable energy and also with IEEE 39 bus power system. The closed loop stability is proven thanks to candidate Lyapunov function and verified by simulations.

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Sliding Mode Control for Disturbance Rejection in Systems with Measurement Delay using PDE-Backstepping Predictor

Cited by 5 publications

References 23 publications

Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Sliding mode control for disturbance rejection and estimation under measurement delay with PDE‐backstepping predictor

Composite‐observer‐based sampled‐data control for uncertain upper‐triangular nonlinear time‐delay systems and its application

Prediction-based super twisting sliding mode load frequency control for multi-area interconnected power systems with state and input time delays using disturbance observer

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