Inverse tangent based switching type reaching law for discrete time sliding mode control systems

Leśniewski, Piotr; Bartoszewicz, Andrzej

doi:10.1109/ecc.2015.7330896

Cited by 9 publications

(15 citation statements)

References 17 publications

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“…then the quasi-sliding mode band can be further reduced. For that purpose, we modify the reaching law (20) as in the work of Bartoszewicz, 18 and we get…”

Section: Modified Strategymentioning

confidence: 99%

“…Their strategy has been further developed in the work of Bartoszewicz,15 and later on, several new reaching laws have been introduced. [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] However, systems controlled according to the Gao's reaching law exhibit only limited robustness to external disturbances. Therefore, in order to reduce the impact of perturbations on the system, in our study, we propose a model reference control strategy based on Gao's method.…”

Section: Introductionmentioning

confidence: 99%

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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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“…then the quasi-sliding mode band can be further reduced. For that purpose, we modify the reaching law (20) as in the work of Bartoszewicz, 18 and we get…”

Section: Modified Strategymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Model reference discrete‐time variable structure control

Bartoszewicz

Adamiak

2018

Adaptive Control & Signal

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“…In Section 3, we have demonstrated that for the reaching law (12), when | ( )| < Δ, the sliding variable ( ) will cross the switching surface in each successive step. Taking (28) into account, we conclude that it holds true for reaching law (25). The next task is to choose suitable parameter values to alleviate the influence of uncertainty for the system state.…”

Section: Control Stability For Uncertain Systemmentioning

confidence: 99%

“…Besides the above approaches of alleviating undesirable chattering, many other approaches have been proposed. More precisely, a strategy combining the reaching law and fast-output-sampling method with output feedback is proposed in [28]. Chakrabary et al [3] introduced a generalized discrete-time reaching law, which contains functions not only in the sliding state, but also in other known states.…”

Section: Introductionmentioning

confidence: 99%

“…The reaching law approach was first proposed by Gao and Hung [22], based on the equality type of reaching conditions [23][24][25][26][27]. The control of discrete-time systems via using the reaching law approach has been used in many significant studies [28][29][30]. Gao et al [23] further developed a discrete reaching law, in which a notion of quasi-sliding mode (QSM) is developed, the QSM controller will drive state trajectory into the switching manifold in finite steps and then undergoes a zigzag motion within the switching manifold.…”

Section: Introductionmentioning

confidence: 99%

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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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Non-switching Reaching Law Based DSMC Strategies in the Context of Robustness Comparison

Latosiński

Herkt

2021

Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020

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Inverse tangent based switching type reaching law for discrete time sliding mode control systems

Cited by 9 publications

References 17 publications

Model reference discrete‐time variable structure control

Model reference discrete‐time variable structure control

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

Non-switching Reaching Law Based DSMC Strategies in the Context of Robustness Comparison

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