Linear closed-loop control in linear periodic systems with application to spin-stabilized bodies

Kern, G.

doi:10.1080/00207178008961091

Cited by 16 publications

(2 citation statements)

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“…It is well known that the attitude motion of a spin-stabilized and a dual-spin-stabilized satellite can be described by a differential equation with periodic coefficients (Ackermann 1969, Mingori 1969. Kern (1980) was the first to treat the attitude control problem as a periodic system design. In his study, the proposed control is given in continuous time.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, he has shown that the characteristic multipliers can be assigned in such a way that they appear as complex conjugate pairs with a positive product if and only if the system is controllable. Kern (1980) has considered characteristic multiplier assignment by output feedback. Kono (1980) and Hernandez and Urbano (1987) have considered the case of discrete-time periodic systems.…”

Section: Introductionmentioning

confidence: 99%

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Characteristic multiplier assignment in continuous-time linear periodic systems

Yoshii

Hakomori

1989

International Journal of Control

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A characterislic multiplier assignment problem for continuous-time periodic systems with analytic coefficients is considered. First, the necessary and sufficient condition for controllability is shown. Under this condition, an algorithm for assigning a set of characteristic multipliers is proposed. The algorithm is constructed by a simple repetitive procedure, and is suited to computer programming. The given feedback gain matrix is composed of a sequence of Dirac delta functions; such a feedback system can easily be implemented using proper approximation to the delta function. Lastly, the design method is applied to the attitude control problem of a spin-stabilized satellite, and some simulation results are given.

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Section: Introductionmentioning

confidence: 99%