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This paper considers the problem of developing a 2-SM super-twisting-like structure with adaptive gains. The objective is to allow the gains to adapt (to both increase and decrease as appropriate) in such a way that they are as small as possible, and yet large enough to sustain a sliding motion. The concept of ‘equivalent control’ is used as a mechanism for assessing the extent to which the gains...
In this study, a bespoke sliding mode non-linear observer and a linear controller framework is proposed for achieving robust formation control of a cluster of satellites in the case of a circular reference orbit. Exploiting the structure of the satellite dynamics, a non-linear observer is proposed based on super-twist sliding mode ideas. The observer estimates the states and any unknown bounded disturbances...
This paper proposes new and novel equivalent control-based adaptive schemes for both conventional and super-twisting sliding mode control algorithms. The approach is based on a dual layer nested adaptive scheme which is quite different to the existing schemes proposed in the sliding mode literature. The new adaptive schemes do not require knowledge of the minimum and maximum allowable values of the...
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