Discrete time integral sliding mode control for systems with matched and unmatched uncertainties

A new local controller for discrete-time integral variable structure control of a large-scale system with matched and unmatched uncertainty is presented. The local controller is able to bring the large-scale system into stability by using only the states feedback from individual subsystem itself. A new theorem is established and proved that the controller is able to handle the effect of interconnection for the large-scale system with matched and unmatched uncertainty, and the system stability is ensured. The controller is able to control the system to achieve the quasi-sliding surface and remains on it. The results showed a fast convergence to the desired value and the attenuation of disturbance is achieved.

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“…is invertible ( can be arbitrarily chosen by assuming that the following conditions are met), according to Xi and Hesketh [15]:…”

Section: Assumptionmentioning

confidence: 99%

“…Discrete-time integral sliding mode control for sampled data system under state regulation was reported in Abidi et al [14]. Subsequently, Xi and Hesketh [15] demonstrated the discrete-time integral sliding mode system to deal with both matched and unmatched uncertainties focused on SISO system.…”

Section: Introductionmentioning

confidence: 97%

A Local Controller for Discrete-Time Large-Scale System by Using Integral Variable Structure Control

Chai

Osman

2015

Journal of Control Science and Engineering

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“…Remark 1 A linear sliding surface is designed for time-delay systems [31], switched systems [14] and switched delay systems [27]. However, there exists a reaching phase in the linear sliding surface, in which the system is sensitive to variation of system parameters and external disturbance.…”

Section: Design Of Integral Sliding Surfacementioning

confidence: 99%

“…Many important results have been reported for this kind of control strategy. For example, SMC has been investigated for uncertain systems [18,30,31], switched systems [14,15,27,33], and stochastic systems [17,21]. The robust property of SMC is ensured only after system states reach the sliding surface.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Control of Uncertain Stochastic Hybrid Delay Systems with Average Dwell Time

Lian

Zhang

Shi

2011

Circuits Syst Signal Process

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This paper investigates the problem of sliding mode control (SMC) for uncertain switched stochastic system with time-varying delay. The system under consideration is concerned with the stochastic dynamics and deterministic switching laws. An integral sliding surface is constructed and the stable sliding mode is derived. A sufficient condition for mean-square exponential stability of the sliding mode is developed under a class of switching laws based on the average dwell time method. Variable structure controllers are designed to guarantee the existence of the sliding mode from the initial time. An illustrative example is used to demonstrate the effectiveness of the proposed scheme.

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“…For the design of SMC, how to deal with the uncertainties in control matrices, especially, for the unmatched uncertainties, has been remaining a difficult task. There have been only a few of results obtained for some delay‐free systems in 16, 19, 20. However, to the authors' knowledge, the problem for neutral delay systems with unmatched control uncertainties remains open still.…”

Section: System Descriptionmentioning

confidence: 99%

Design of sliding mode control for neutral delay systems with perturbation in control channels

Niu

Jia

Huang

et al. 2011

Optim Control Appl Methods

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SUMMARYThis paper considers the problem of sliding mode control for a class of uncertain neutral delay systems. There are uncertainties not only in the state matrices, but also in the control matrix that results from perturbation in the control channels. By means of a sliding surface dependent on both the current states and delayed states, a sliding mode controller is designed such that the asymptotic stability of closed-loop systems can be ensured. The design of both the sliding surface and the sliding mode controller can be obtained via convex optimization. It is shown that the state trajectories are driven onto the specified sliding surface in finite time and remain there for subsequent time. Finally, a numerical simulation example is provided.

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Discrete time integral sliding mode control for systems with matched and unmatched uncertainties

Cited by 37 publications

References 10 publications

A Local Controller for Discrete-Time Large-Scale System by Using Integral Variable Structure Control

A Local Controller for Discrete-Time Large-Scale System by Using Integral Variable Structure Control

Sliding Mode Control of Uncertain Stochastic Hybrid Delay Systems with Average Dwell Time

Design of sliding mode control for neutral delay systems with perturbation in control channels

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