2016
DOI: 10.1007/s11633-016-0970-x
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A sliding mode observer for uncertain nonlinear systems based on multiple models approach

Abstract: This paper presents a method of state estimation for uncertain nonlinear systems described by multiple models approach. The uncertainties, supposed as norm bounded type, are caused by some parameters variations of the nonlinear system. Linear matrix inequalities (LMIs) have been established in order to ensure the stability conditions of the multiple observer which lead to determine the estimation gains. A sliding mode gain has been added in order to compensate the uncertainties. Numerical simulations through a… Show more

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Cited by 14 publications
(2 citation statements)
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References 8 publications
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“…In [22], a SMO was developed for stochastic nonlinear descriptor systems, and they also designed a sliding mode controller for the SMO. In [11] and [23], SMOs were designed for T-S fuzzy descriptors systems. In [19,28,29,31], SMOs were designed to estimate the faults, and then fault tolerant controllers were designed by using the estimated fault information.…”
Section: Introduction T-s Fuzzy Modelmentioning
confidence: 99%
“…In [22], a SMO was developed for stochastic nonlinear descriptor systems, and they also designed a sliding mode controller for the SMO. In [11] and [23], SMOs were designed for T-S fuzzy descriptors systems. In [19,28,29,31], SMOs were designed to estimate the faults, and then fault tolerant controllers were designed by using the estimated fault information.…”
Section: Introduction T-s Fuzzy Modelmentioning
confidence: 99%
“…The number of layers and coefficients of this observer need to be adjusted accordingly, and the input of the observer at each layer linearly accumulates the output of the observer at the previous layer. In [11], a novel sliding mode observer-based on multiple modes approach is designed for the state estimation of a non-linear system with time-varying uncertainties. Similar to ESO, the traditional sliding mode observer and disturbance observer are also highly sensitive to measurement noise.…”
Section: Introductionmentioning
confidence: 99%