Continuous higher order sliding mode control with impulsive action

Aldukali, Fathi M.; Shtessel, Yuri B.

doi:10.1109/cdc.2015.7403068

Cited by 4 publications

(8 citation statements)

References 9 publications

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“…The results are summarized in the following theorem. The impulsive control (15), (18) drives the state vector x → 0 of the unperturbed system (4) instantaneously and keeps it there for all consecutive times.…”

Section: The Impulsive Control Approachmentioning

confidence: 99%

“…Here, it is assumed that Δf (t) is a smooth function with the bounded derivative, and only x r is measured ∀t ≥ 0 + . Next, as soon as the impulsive control (15), (18)…”

Section: Plan Of Attack For V 2 − Smc = V Stw In Equation (21)mentioning

confidence: 99%

“…Proof. As soon as the impulsive control (15), (18) is applied at t = 0, it drives x → 0 instantaneously, ie, x(0 + ) = 0. Then, the system's (4) dynamics becomėx…”

Section: Ideal Delta Function and Its Derivativementioning

confidence: 99%

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Impulsive second‐order sliding mode control in reduced information environment

Aldukali

Shtessel

Plestan

2018

Intl J Robust & Nonlinear

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The perturbed system with input-output dynamics of arbitrary and well-defined relative degree is considered in a reduced information environment. A novel impulsive second-order sliding mode control in the reduced information environment is proposed. The almost instantaneous convergence to the origin is achieved via impulsive control acting in a concert with second-order sliding mode control, specifically supertwisting and twisting algorithms. The impulsive actions are implemented in a piecewise constant format. Numerical examples illustrate the efficiency of the proposed control algorithms. KEYWORDS impulsive control, reduced information environment, second-order sliding mode control Int J Robust Nonlinear Control. 2018;28:2909-2926.wileyonlinelibrary.com/journal/rnc

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Section: The Impulsive Control Approachmentioning

confidence: 99%

“…Here, it is assumed that Δf (t) is a smooth function with the bounded derivative, and only x r is measured ∀t ≥ 0 + . Next, as soon as the impulsive control (15), (18)…”

Section: Plan Of Attack For V 2 − Smc = V Stw In Equation (21)mentioning

confidence: 99%

See 1 more Smart Citation

Impulsive second‐order sliding mode control in reduced information environment

Aldukali

Shtessel

Plestan

2018

Intl J Robust & Nonlinear

Self Cite

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“…holds with 0 > 0. According to (21), increases if K mi n M increases. So, one can always find a large enough such that…”

Section: Proof Of Lemmamentioning

confidence: 99%

“…Note also that the reduction of chattering can be obtained with the dynamic adaptation of the gain: in the standard tuning process, the gain is tuned to ensure convergence in the worst case. Recent works have shown that online adaptation is another alternative way to limit the chattering, for standard sliding mode [16,17], second-order [17][18][19] or high-order sliding mode [20,21]. 2880 X. YAN, M. PRIMOT AND F. PLESTAN As an important class of high-order sliding mode control, the second-order sliding mode control (2SMC) is well-known and popular.…”

Section: Introductionmentioning

confidence: 99%

Output feedback relay control in the second‐order sliding mode context with application to an electropneumatic system

Yan

Primot

Plestan

2016

Intl J Robust & Nonlinear

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Summary In this paper, a new second‐order sliding mode output feedback control law is proposed. It amounts to approach the dynamic performance of the twisting algorithm, but the main advantage of this new control method is that it requires only the information of the sliding variable, and not its derivative. A gain adaptation law is also developed for this new control law. Then this control strategy is applied to the position control of an electropneumatic system, and its performance is compared with other two very recent adaptive second‐order sliding mode control laws. Copyright © 2016 John Wiley & Sons, Ltd.

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