Abstract

Attitude control systems are normally treated as continuous-time systems even though, in reality, control will be implemented in discrete time. In a similar vein, realistic attitude sensors are sampled-data in nature. Motivated by satellite attitude control applications, this paper treats the fundamental problem of proportional plus rate plus integral (PDI) feedback control of a rigid non-spinning spacecraft using sampled-data attitude and attitude-rate sensors. Using ℒ-transforms, the characteristic equation is derived and literal stability criteria are extracted and illustrated through stability diagrams. The stability criteria have also been confirmed through simulation, a typical case of which is included.

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