2011
DOI: 10.1007/s12555-011-0224-1
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A stability-guaranteed integral sliding disturbance observer for systems suffering from disturbances with bounded first time derivatives

Abstract: This paper presents an integral sliding disturbance observer (I-SDOB) to compensate for unknown disturbances for a class of nonlinear systems. To guarantee the existence of a sliding mode for disturbance estimation, the proposed I-SDOB needs only a small switching gain compared with conventional sliding disturbance observers, which leads to further alleviation of chatter. Moreover, the stability analysis of the controller-observer system is given based on the Lyapunov theory. Applications of the proposed schem… Show more

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Cited by 26 publications
(12 citation statements)
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“…Consider the multiagent tracking control of second-order MAS (19) in presence of matched and unmatched uncertainties which include input saturation and unknown leader acceleration. A finite-time converging performance is obtained according to a SMDOB (32) and a control protocol (33). Then, the MAS (19) is stable and the tracking error will converge to a bounded set as time going.…”
Section: Control Protocol Design For Unmatched Uncertaintiesmentioning
confidence: 99%
See 1 more Smart Citation
“…Consider the multiagent tracking control of second-order MAS (19) in presence of matched and unmatched uncertainties which include input saturation and unknown leader acceleration. A finite-time converging performance is obtained according to a SMDOB (32) and a control protocol (33). Then, the MAS (19) is stable and the tracking error will converge to a bounded set as time going.…”
Section: Control Protocol Design For Unmatched Uncertaintiesmentioning
confidence: 99%
“…It means the tracking trajectory could have the property of chattering reduction as well as excellent dynamic and static performance. The readers can also refer to [32][33][34] for the same argument.…”
Section: )mentioning
confidence: 99%
“…All the methods mentioned above are integrated into the SMC to counteract the mismatched disturbance. The nonlinear disturbance observer (NDO) [24,[30][31][32] can also be used for estimating the mismatched disturbance to design the new SMC with the property of robustness to the mismatched disturbance. A disturbance observer based on the variable structure system theory for minimum-phase dynamical systems with arbitrary relatives has been proposed in [33] when the upper and lower bounds of disturbance are assumed to be known as prior information.…”
Section: Introductionmentioning
confidence: 99%
“…Such techniques have been proposed in [13]- [17] to deal with matched disturbances and more recently in [18] with unmatched ones.…”
Section: Introductionmentioning
confidence: 99%