Steady-state behaviour of discretized terminal sliding mode

Behera, Abhisek K.; Bandyopadhyay, B.

doi:10.1016/j.automatica.2015.02.009

Cited by 37 publications

(33 citation statements)

References 18 publications

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“…At quasi-sliding mode, σ k+1 = σ k = 0; therefore, (15) and (16) result in the following expression for v eq…”

Section: Sliding Surface Designmentioning

confidence: 98%

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Robust output feedback sliding mode control for uncertain discrete time systems

Rahmani

2017

Nonlinear Analysis: Hybrid Systems

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“…At quasi-sliding mode, σ k+1 = σ k = 0; therefore, (15) and (16) result in the following expression for v eq…”

Section: Sliding Surface Designmentioning

confidence: 98%

“…11.004 1751-570X/© 2016 Elsevier Ltd. All rights reserved. performance, a very fast sampling frequency is required [15]; a matter which cannot be guaranteed in some dynamical systems such as networked control systems [16,17]. The second approach is based on the direct design of the SMC for DT systems.…”

Section: Introductionmentioning

confidence: 99%

Robust output feedback sliding mode control for uncertain discrete time systems

Rahmani

2017

Nonlinear Analysis: Hybrid Systems

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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%

“…Broadly, the control design for discrete nature of nonlinear plant is investigated in two ways, that is, discretization of continuous-time control law 29,30 and the direct design of control for the discrete-time plant. [31][32][33][34] Noteworthily, the second case is required to provide a specified velocity for a Lyapunov function to move to the interior of discrete-time [, ] 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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“…There are two major frameworks in designing higher‐order sliding mode for discrete‐time system. The first is to discretize the existing continuous‐time higher‐order sliding mode algorithms to obtain their discrete‐time version; however, the discretization of continuous SMC algorithm may lead to periodic phenomena and instability in the system . In the second framework, DHOSM control is explicitly designed for a discrete‐time representation of the system.…”

Section: Introductionmentioning

confidence: 99%

Discrete‐time higher‐order sliding mode control of systems with unmatched uncertainty

Sharma

Janardhanan

2018

Intl J Robust & Nonlinear

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Summary The research on discrete‐time higher‐order sliding mode has received a considerable attention recently. Systems with unmatched uncertainties are common in practice; however, the existing discrete‐time higher‐order sliding mode control algorithms are designed considering only matched uncertainty. This paper proposes a technique to design discrete‐time higher‐order sliding mode control for an uncertain LTI system in the presence of unmatched uncertainty. The proposed technique is numerically simulated and experimentally validated on an electromechanical rectilinear plant. Various experiments are conducted considering the several operational conditions of electromechanical systems in industries to verify the performance of the proposed controller.

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Steady-state behaviour of discretized terminal sliding mode

Cited by 37 publications

References 18 publications

Robust output feedback sliding mode control for uncertain discrete time systems

Robust output feedback sliding mode control for uncertain discrete time systems

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

Discrete‐time higher‐order sliding mode control of systems with unmatched uncertainty

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