Discrete-time sliding mode control with a disturbance estimator

Monsees, G.; Scherpen, Jacquelien M.A.

doi:10.23919/ecc.2001.7076437

Cited by 42 publications

(71 citation statements)

References 9 publications

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“…Hence, in this paper, we construct the nonlinear part of the controller by using only the external disturbance information. The sequel of this paper, aims to consider the stability of the system (1) using the controller (22). Hence, applying the controller (22) to the system (1), it is seen that…”

Section: Sliding Mode Controllermentioning

confidence: 99%

“…Theorem 2: The control law (22) can drive the system state into a boundary layer around the ideal sliding surface (2) and, in addition, the system state is ultimately bounded if there exist a symmetric matrix P > 0 and scalars ε > 0 and η > 0 satisfying the following LMI,…”

Section: Sliding Mode Controllermentioning

confidence: 99%

“…Furthermore, for DSMC, elimination of the discontinuous control part from the control law leads to the eliminating the chattering issue [21], [20], [22]. The obtained control law is called linear control law or equivalent control law.…”

Section: Introductionmentioning

confidence: 99%

“…The obtained control law is called linear control law or equivalent control law. Indeed, it is argued that DSMC does not necessarily require the use of a variable structure discontinuous control strategy [21], [20], [22]. References [21], [20] have shown that using the pure equivalent control can ensure that the state trajectories stay within a neighbourhood of the sliding surface in the presence of bounded matched uncertainty.…”

Section: Introductionmentioning

confidence: 99%

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A new LMI-based robust Sliding Mode Control for the uncertain discrete-time systems

Argha

et al. 2014

53rd IEEE Conference on Decision and Control

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Abstract-In this paper, a new approach for designing a robust Discrete-time Sliding Mode Control (DSMC) is proposed for the uncertain discrete-time systems. To this end, an LMI approach is used to develop a new framework to design the linear sliding functions which are linear to the state. The LMI approach proposed in this paper is designed to deal with uncertain systems (matched and unmatched). It is wellknown that the finite sampling rate for the discrete-time systems leads to this fact that state move within a bound around the predetermined sliding surface referred to as quasi-sliding mode band. In this paper, this matter will be discussed in a new point of view and an innovative method will be used to obtain the ultimate bound on the system state.

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Section: Sliding Mode Controllermentioning

confidence: 99%

Section: Sliding Mode Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A new LMI-based robust Sliding Mode Control for the uncertain discrete-time systems

Argha

et al. 2014

53rd IEEE Conference on Decision and Control

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“…The main advantages of the SMC are that when the sliding mode is ensured, then the system is insensitive to external disturbances, system parameter variations, and modeling errors, and a relative simplicity of implementation is achieved. These properties of the SMC make it a popular and suitable method for the design of a robust controller [28][29][30]. A three-phase four-leg VSI will be modeled and controlled because of the focus of this paper.…”

Section: Modeling the Three-phase Four-leg Vsimentioning

confidence: 99%

Model-reference sliding mode control of a three-phase four-leg voltage source inverter for stand-alone distributed generation systems

Özdemir¹,

Yazıcı²,

Erdem

2015

Turk J Elec Eng & Comp Sci

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This paper proposes a discrete-time model-reference sliding mode control of three-phase four-leg voltage source inverters for stand-alone distributed generation systems. Three-phase four-leg voltage source inverters (VSIs) are used in a broad area. A discrete-time model-reference sliding mode controller, having superior advantages such as insensitivity to external disturbances, system parameter variations, and modeling errors, is applied to control the output voltage of three-phase four-leg VSIs. As a new study, the discrete-time model-reference sliding mode control with a supplemented output feedback integral controller is proposed so that the controlled output voltages of the VSI tracks the input reference signal. The controller is designed using the augmented discrete-time error dynamics presented in this paper and is applied to control the output voltage control of a three-phase four-leg based uninterruptable power supply.It is shown that the output voltage of the VSI controlled by the proposed method is accurately regulated for various load conditions such as linear balanced/unbalanced, nonlinear balanced/unbalanced, and instantaneous load changes. The robustness of the proposed method against variations by 20%-50% in R, L, and C filter parameters and 5 different cases are showed.

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Discrete output feedback sliding-mode control with integral action

Lai

Edwards

Spurgeon

2005

Int. J. Robust Nonlinear Control

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SUMMARYThis paper presents a novel approach to the problem of discrete time output feedback sliding-mode control design. The method described applies to uncertain systems (with matched uncertainties) which are not necessarily minimum phase or relative degree one. A new sliding surface is proposed, which is associated with the equivalent control of the output feedback sliding-mode controller. Design freedom is available to select the sliding surface parameters to produce an appropriate reduced-order sliding motion. In order for this to be achieved, a static output feedback condition associated with a certain reducedorder system obtained from the original plant must be solvable. The practicality of the results are demonstrated through the implementation of the controller on a small DC motor test rig.

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Discrete-time sliding mode control with a disturbance estimator

Cited by 42 publications

References 9 publications

A new LMI-based robust Sliding Mode Control for the uncertain discrete-time systems

A new LMI-based robust Sliding Mode Control for the uncertain discrete-time systems

Model-reference sliding mode control of a three-phase four-leg voltage source inverter for stand-alone distributed generation systems

Discrete output feedback sliding-mode control with integral action

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