A generalized reaching law for discrete time sliding mode control

Chakrabarty, Sohom; Bandyopadhyay, B.

doi:10.1016/j.automatica.2014.10.124

Cited by 118 publications

(36 citation statements)

References 9 publications

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“…A Discrete-Time Variable Structure Control (DTVSC) (Utkin, 1992;Furuta, 1990;Corradini et al, 2012;Corradini and Orlando, 1997;Chakrabarty and Bandyopadhyay, 2015;Khandekar et al, 2013) is considered which allows an appropriate formulation of the problem in a sampled-data system context, which is doubtless useful in view of the practical discrete-time implementation on the digital computer of a real DP control system. The DTVSC proposed in this paper considers the control of the ship position η by using the velocities ν LF in the fbg frame.…”

Section: Discrete-time Variable Structure Controlmentioning

confidence: 99%

Advanced control for fault-tolerant dynamic positioning of an offshore supply vessel

et al. 2015

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Section: Discrete-time Variable Structure Controlmentioning

confidence: 99%

Advanced control for fault-tolerant dynamic positioning of an offshore supply vessel

et al. 2015

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“…For that, a discrete‐time

[𝒦, 𝒦 ℒ]

sector is designed by the involvement of comparison function results to accomplish a global asymptotic stability for discrete‐time nonlinear systems. Broadly, the control design for discrete nature of nonlinear plant is investigated in two ways, that is, discretization of continuous‐time control law and the direct design of control for the discrete‐time plant . Noteworthily, the second case is required to provide a specified velocity for a Lyapunov function to move to the interior of discrete‐time

[𝒦, 𝒦 ℒ]

sector and subsequently decreases inside the sector without any control effort.…”

Section: Introductionmentioning

confidence: 99%

Discrete‐time sector based hands‐off control for nonlinear system

Sachan

Olaru

Singh

et al. 2020

Intl J Robust & Nonlinear

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Summary This article presents a hands‐off control design for discrete‐time nonlinear system with a special type of nonlinear sector termed as “discrete‐time [𝒦,𝒦ℒ] sector.” The design method to define the boundary of a discrete‐time [𝒦,𝒦ℒ] sector is done with control‐Lyapunov function. The generalization of nonlinear system is viewed in the perspective of a comparison function. By means of a proposed sector, a switching control is designed such that no control action is experienced inside the sector thus, saving unnecessary control efforts. However, to study the robustness for discrete‐time system, a hands‐off control is modified to ensure the monotonic decrease in the energy of the system. Finally, the proposed approach is verified with the simulation results.

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“…Continuous-time variable-structure control theory and its application have been extensively studied since the early 1960s [1][2][3]. Thanks to their computational efficiency and robustness [4,5], this control method has been applied widely and relevant results can be found in [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…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. Eun et al [35] present a disturbance compensator into the reaching law approach to improve the close-loop system control performance, which estimated the disturbance within certain estimation errors.…”

Section: Introductionmentioning

confidence: 99%

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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A generalized reaching law for discrete time sliding mode control

Cited by 118 publications

References 9 publications

Advanced control for fault-tolerant dynamic positioning of an offshore supply vessel

Advanced control for fault-tolerant dynamic positioning of an offshore supply vessel

Discrete‐time sector based hands‐off control for nonlinear system

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

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