International Multi-Conference on Systems, Sygnals &Amp; Devices 2012
DOI: 10.1109/ssd.2012.6198049
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A new sliding surface for discrete second order sliding mode control of time delay systems

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Cited by 7 publications
(16 citation statements)
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“…Similar problems has been analyzed in other works using LMI‐based approaches. Consider the following regular representation: alignleftalign-1x1(k+1)align-2=[Φ11+ΔΦ11(k)]x1(k)+Φd11x1(kd(k))align-1align-2+Φ12+ΔΦ12(k)x2kalign-1x2(k+1)align-2=normalΦ21normalΦ22normalΦd21zdfalse(kfalse)normalΦd22zdfalse(kfalse)x1false(kfalse)x2false(kfalse)+align-1align-2+Γu(k)+f(k,x(k)), where z − d ( k ) is a time variant delay d ( k ) and f:double-struckZ×double-struckRndouble-struckRm1emis a nonlinear function representing the external disturbances and not modeled dynamics.…”
Section: Discrete‐time Lti Systems Sliding Surface Designmentioning
confidence: 59%
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“…Similar problems has been analyzed in other works using LMI‐based approaches. Consider the following regular representation: alignleftalign-1x1(k+1)align-2=[Φ11+ΔΦ11(k)]x1(k)+Φd11x1(kd(k))align-1align-2+Φ12+ΔΦ12(k)x2kalign-1x2(k+1)align-2=normalΦ21normalΦ22normalΦd21zdfalse(kfalse)normalΦd22zdfalse(kfalse)x1false(kfalse)x2false(kfalse)+align-1align-2+Γu(k)+f(k,x(k)), where z − d ( k ) is a time variant delay d ( k ) and f:double-struckZ×double-struckRndouble-struckRm1emis a nonlinear function representing the external disturbances and not modeled dynamics.…”
Section: Discrete‐time Lti Systems Sliding Surface Designmentioning
confidence: 59%
“…More recently, Kim et al used LMI numerical tools for solving this optimization problem. Indeed, LMI is currently a research area where a wide number of proposals for specifying sliding surfaces have been continuously given …”
Section: Discrete‐time Lti Systems Sliding Surface Designmentioning
confidence: 99%
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