Observer-based sliding mode control for a class of discrete systems via delta operator approach

Yang, Hongjiu; Xia, Yuanqing; Shi, Peng

doi:10.1016/j.jfranklin.2010.05.003

Cited by 105 publications

(53 citation statements)

References 41 publications

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“…In other words, the feasibility region of the LMI condition of the proposed scheme or equivalently its applicability region is interestingly improved compared to that of presented in e.g. [12] and [13].…”

Section: Introductionmentioning

confidence: 94%

“…Moreover, according to the results presented in [9], [11], the use of a switching function in the control law may not necessarily improve the performance. Indeed, thanks to this fact that the sliding function is not required to be exploited in the ODSMC, this paper assumes a sliding surface in the state space rather than state estimate space or state estimation error space [12] and [13]. This fact leads us to establish a considerably less conservative LMI condition.…”

Section: Introductionmentioning

confidence: 99%

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Robust output-feedback discrete-time sliding mode control utilizing disturbance observer

Argha

et al. 2015

2015 54th IEEE Conference on Decision and Control (CDC)

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Abstract-This paper is devoted to the problem of designing a robust dynamic output-feedback discrete-time sliding mode controller (ODSMC) for uncertain discrete-time systems. The basic idea behind this scheme comes from the fact that output feedback discrete-time sliding mode control (ODSMC), unlike its continuous-time counterpart, does not require to exploit a discontinuous term including the sliding function. Therefore, it is not a vital requirement that the sliding function is expressed in terms of the system outputs only. Furthermore, our observerbased discrete-time sliding mode controller (DSMC) leads to a considerably larger region of applicability. Besides, with the assumption of dealing with slow exogenous disturbances, a methodology is developed which aims to reduce the thickness of the boundary layer around the sliding surface. Moreover, the boundedness of the obtained closed-loop system is analyzed and the bound on the underlying system state is derived.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Robust output-feedback discrete-time sliding mode control utilizing disturbance observer

Argha

et al. 2015

2015 54th IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

show abstract

“…Furthermore, the delay effects problem on the stability of systems is a problem of recurring interest since the delay presence may induce complex behaviors for the schemes, see for instance [17]- [18]. The problem of filtering for state delayed systems with Markovian switching is proposed in [19]- [23].The problem of robust mode-dependent delayed state feedback ∞ control is investigated for a class of uncertain time-delay systems with Markovian switching parameters and mixed discrete, neutral and distributed delays in [24]. Moreover, the sliding mode control problem for uncertain systems with time delays and stochastic jump systems are also investigated in [25]- [33], respectively.…”

Section: Introductionmentioning

confidence: 99%

A sliding mode approach to H∞ synchronization of master–slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties

Karimi

2012

Journal of the Franklin Institute

273

114

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Abstract-In this paper, a sliding-mode approach is proposed for exponential H ∞ synchronization problem of a class of masterslave time-delay systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master-slave parameters are established for designing a delay-dependent modedependent sliding mode exponential H ∞ synchronization control law in terms of linear matrix inequalities. The controller guarantees the  H synchronization of the two coupled master and slave systems regardless of their initial states. Two numerical examples are given to show the effectiveness of the method.

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“…To solve this problem, the sliding mode control (SMC) provides a good solution. Up to now, many relevant researches have been carried out [1][2][3][4][5][6][7][8][9][10][11][12][13] . Based on SMC, the authors in [2] investigated the robust adaptive control problem for fuzzy systems with mismatched uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy sliding mode control design for a class of disturbed systems

Wang

Shi

Karimi

2014

Journal of the Franklin Institute

Self Cite

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This paper discusses the problem of the fuzzy sliding mode control for a class of disturbed systems. First, a fuzzy auxiliary controller is constructed based on a feedback signal not only to estimate the unknown control term, but also participates in the sliding mode control due to the fuzzy rule employed. Then, we extend our theory into the cases, where some kind of system information can not be obtained, for better use of our theoretical results in real engineering. Finally, some typical numerical examples are included to demonstrate the effectiveness and advantage of the designed sliding mode controller. © 2013 The Franklin Institute

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Observer-based sliding mode control for a class of discrete systems via delta operator approach

Cited by 105 publications

References 41 publications

Robust output-feedback discrete-time sliding mode control utilizing disturbance observer

Robust output-feedback discrete-time sliding mode control utilizing disturbance observer

A sliding mode approach to H∞ synchronization of master–slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties

Fuzzy sliding mode control design for a class of disturbed systems

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