A Novel Exponential Reaching Law of Discrete-Time Sliding-Mode Control

Ma, Haifeng; Wu, Jianhua; Xiong, Zhenhua

doi:10.1109/tie.2017.2652390

Cited by 114 publications

(145 citation statements)

References 32 publications

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“…Thus, a QSM within the 2 ( )-neighbourhood of surface ( ) = 0 can be attained. However, the reaching law proposed in [33,42] has two shortcomings: one is that it has larger amplitude of chattering caused by disturbance than the proposed reaching law (25); another one is that the reaching laws proposed in [33,42] require that the rate of change of uncertainty is tremendously slow, but the condition rarely occurs in practical systems. The result will be validated by a numerical simulation in Section 5.…”

Section: Control Stability For Uncertain Systemmentioning

confidence: 99%

“…[42] cannot converge to zero, but only to remain always a periodic fluctuation around sliding surface ( ) = 0.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…The control law proposed by [42] is as follows: Figures 1 and 2 exhibit the evolution of system state trajectories which are controlled by control law (26) and (46), respectively. In the simulation example, the system state 1 is not be affected by disturbance (k), so the control laws (26) and (46) are derived from reaching law (12) and [42] can force system state 1 to converge to zero from any initial point.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…A chattering-free digital SMC with state observer and disturbance rejection is presented in [39][40][41]. In previous works, assuming the change rate of uncertainty is slow, designing a reaching law can obtain good effectiveness of chattering-free digital SMC [20,42], but that rarely occurs in practical systems.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

et al. 2018

Mathematical Problems in Engineering

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This paper proposed a new sliding mode control algorithm for discrete-time systems with matched uncertainty. The new control algorithm is characterized by a new discrete switching surface. Although the exponential reaching law can reduce oscillation, the control effectiveness will be suppressed when the rate of change of disturbance is high. The exponential reaching law cannot force the system states to approach sliding surface ( ) = 0. In order to solve the contradiction between guaranteeing the basic property of quasi-sliding mode and reducing oscillation, a new discrete reaching law is proposed to improve the reaching process of discrete exponent reaching laws. The proposed method not only can force system state to approach the sliding surface ( ) = 0 in less width of the switching manifold than existing studies, but also can alleviate chattering when the system representative points are near zero point. Simulation results are provided to validate the feasibility and reasonability of the method.

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Section: Control Stability For Uncertain Systemmentioning

confidence: 99%

“…[42] cannot converge to zero, but only to remain always a periodic fluctuation around sliding surface ( ) = 0.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Section: Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

et al. 2018

Mathematical Problems in Engineering

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“…However, the low-accuracy tracking performance, slow transient response and poor rejection of the aperiodic disturbances are the main limitations of the typical repetitive controller. The discrete-time sliding-mode is suggested as another control strategy to ensure the output voltage quality in [17]- [21]. The interesting feature of the discrete-time sliding-mode control is its robustness, fast transient response and simple digital implementation.…”

mentioning

confidence: 99%

Optimal Performance Design Guideline of Hybrid Reference Frame Based Dual-Loop Control Strategy for Stand-Alone Single-Phase Inverters

Han

Jiang

Coelho

et al. 2018

IEEE Trans. Energy Convers.

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Abstract-The dual-loop control strategy in hybrid reference frame (HRF) for single-phase voltage source inverters (VSIs) in islanded operation mode is studied, which applies a capacitor voltage shaping loop in the synchronous reference frame (SRF) and a capacitor current shaping loop in the stationary reference frame (HRF-based v+i c control strategy). This strategy is able to achieve the purpose of active damping, fast dynamic response and zero reference tracking error. However, due to the inherent characteristics of SRF-based voltage loop and the digital control delay, the performance of the system is degraded and the control parameter design of HRF-based v+i c control strategy shows great difficulties. To overcome these shortcomings, in this paper, a systematic parameter design guideline for HRF-based v+i c control strategy is proposed to ensure the system stability and optimize the performance of the system under control delay condition. The mathematic model of the HRF-based v+i c control strategy is established with the consideration of control delay in this paper. Based on this model, a satisfactory region of the system stability indexes can be obtained by stability specifications of the system and the optimal control parameters can be calculated according to the stability indexes selected from the satisfactory region. By using this method, the system stability and robustness can be guaranteed. Finally, the experimental results are presented to validate the effectiveness of the presented optimal control parameter design methodologies.Index Terms-Control delay, single-phase inverter, hybrid reference frame, islanded mode, parameter design guideline. NOMENCLATURE Abbreviations HRFHybrid reference frame. VSI Voltage source inverter.

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Model reference discrete‐time variable structure control

Bartoszewicz

Adamiak

2018

Adaptive Control & Signal

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This paper presents a new reaching law-based model reference quasi-sliding mode control strategy for discrete-time dynamical systems. The strategy ensures the quasi-sliding mode attributes defined in the seminal paper of Gao et al, but at the same time, it offers essentially improved system robustness. In particular, it is demonstrated that the application of the reference model results in the decreased width of the quasi-sliding mode band and guarantees smaller errors of all state variables. KEYWORDS discrete-time systems, model reference sliding mode control, reaching law 1440

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A Novel Exponential Reaching Law of Discrete-Time Sliding-Mode Control

Cited by 114 publications

References 32 publications

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

A Novel Reaching Law for Sliding Mode Control of Uncertain Discrete-Time Systems

Optimal Performance Design Guideline of Hybrid Reference Frame Based Dual-Loop Control Strategy for Stand-Alone Single-Phase Inverters

Model reference discrete‐time variable structure control

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