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Cited by 1,627 publications
(1,270 citation statements)
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“…In multivariable sliding mode control and observation, the objective is to force to zero in finite time a constraint (or switching) function given by σ(x), where x ∈ R n is the state of the dynamical system and σ : R n → R m [17]. In calculating the total time derivative of σ, for the case of conventional (first order) sliding modes, an expressioṅ…”
Section: Problem Statement and System Descriptionmentioning
confidence: 99%
“…In multivariable sliding mode control and observation, the objective is to force to zero in finite time a constraint (or switching) function given by σ(x), where x ∈ R n is the state of the dynamical system and σ : R n → R m [17]. In calculating the total time derivative of σ, for the case of conventional (first order) sliding modes, an expressioṅ…”
Section: Problem Statement and System Descriptionmentioning
confidence: 99%
“…This robustness will be introduced by the introduction of an integral sliding mode [44], [45]. Integral sliding modes are quite distinct from 'conventional' sliding modes [46]. In conventional sliding modes the order of the sliding motion is strictly reduced compared to the original order of the plant because of the 'dynamical collapse' induced by forcing the switching function to zero.…”
Section: Integral Sliding Modesmentioning
confidence: 99%
“…Disturbance affecting the system can be estimated using linear disturbance observer, extended state observer [7], nonlinear disturbance observer etc. For matched uncertainty, disturbances can be estimated and are compensated directly through control input [8]. When the case of mismatched uncertainties arise, the direct compensation through control input is not effective.…”
Section: Introductionmentioning
confidence: 99%