Time-Varying Sliding Modes for the Second Order Systems

Bartoszewicz, Andrzej; Nowacka-Leverton, Aleksandra

doi:10.1007/978-3-540-92217-9_2

Cited by 21 publications

(35 citation statements)

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“…In view of (14), it can be concluded that the tracking errorsq i , i = 1, 2, · · · , n, are all asymptotically stable, provided that k 1i (q i (t)) and k 2i are properly designed, e.g., k 1i (q i (t)) > c i for t ∈ [0, ∞) and k 2i ∈ R + , where c i is a positive constant.…”

Section: Proofmentioning

confidence: 98%

A Novel Sliding Mode Control for a Class of Second‐order Mechanical Systems

Sheng¹,

Wang²,

Liu³

2016

Asian Journal of Control

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This paper considers the tracking control problem of a class of second-order mechanical systems involving parametric uncertainty and external disturbance by a sliding mode control (SMC) without reaching phase. Specifically, an SMC strategy with modified variable-gain proportional-integral-derivative (PID)-type sliding function is proposed, by which the existence of a sliding mode throughout an entire response of the system starting from the initial time instance is ensured. Meanwhile, the introduction of a variable gain in the sliding function design effectively solves the dilemma between quicker response and smaller overshoot. The effectiveness of the proposed strategy is verified by both theoretical analysis and simulation results.

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Section: Proofmentioning

confidence: 98%

A Novel Sliding Mode Control for a Class of Second‐order Mechanical Systems

Sheng¹,

Wang²,

Liu³

2016

Asian Journal of Control

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“…Nevertheless, the robustness of the three SMC approaches is guaranteed only after the system reaches the switching surface and not necessary during the tracking phase. One solution to eliminate the sensitivity during the reaching phase consists in rotating or shifting the sliding surface in such a way that the existence of the sliding mode is guaranteed since the beginning of the motion [13].…”

Section: Sliding Mode Control Strategymentioning

confidence: 99%

Sliding mode control for electrical drives

Bétin¹,

Capolino²

2015

2015 IEEE International Electric Machines &Amp; Drives Conference (IEMDC)

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In this paper, the same Sliding Mode Controller with time-varying switching surface is applied to obtain a high precision positioning of the drive whatever the configuration of the linked electrical machine (dc motor, three-phase induction machine and six-phase induction machine). The proposed control scheme is insensitive to mechanical configuration variations and also fault tolerant (six-phase induction machine). The efficiency of the method is validated experimentally using a test bed built up in our laboratory.

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“…The equivalent control law is derived as c(n + 1) = qlc(n) (22) Therefore 2 2 c, (n + I)ej(n) + Tc, (n + I)e2(n) + e2(n) + T -Y,an,e, (n) +Y (a,, -a.,)X,i i=l i=l…”

Section: Introductionmentioning

confidence: 99%

A Single-Phase DC/AC Inverter using Moving Sliding Manifold Sinusoidal Tracking Control

Chang

Liang

Chen

et al. 2007

IECON 2007 - 33rd Annual Conference of the IEEE Industrial Electronics Society

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In this paper, a single-phase DC/AC inverter for uninterruptible power supply using moving sliding manifold (MSM) sinusoidal tracking control is proposed. The characteristic of the MSM over the conventional sliding manifold is capable of ensuring the sliding mode proceeds from an arbitrary initial state and thus achieves the robustness against system uncertainties. The inverter tracking performances of steady-state and transient responses can be improved due to speedup-reaching the sliding manifold. A 60Hz 400W prototype is built with MSM control scheme based on dSPACE DSP by sensing the output voltage for the closed-loop feedback. The experimental results show that low total harmonic distortion (THD) output voltages under resistive load or even under rectifier-RC load and fast transient response subject to step change in load are obtained. Design procedures, computer simulations, and experimental results are provided to demonstrate the performance of the MSM controlled inverter.

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Time-Varying Sliding Modes for the Second Order Systems

Cited by 21 publications

References 0 publications

A Novel Sliding Mode Control for a Class of Second‐order Mechanical Systems

A Novel Sliding Mode Control for a Class of Second‐order Mechanical Systems

Sliding mode control for electrical drives

A Single-Phase DC/AC Inverter using Moving Sliding Manifold Sinusoidal Tracking Control

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