Approximation of positive stable continuous-time linear systems by positive stable discrete-time systems

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send Tadeusz Kaczorek Faculty of Electrical Engineering, Bialystok University of Technology, Poland

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Abstract

The positive asymptotically stable continuous-time linear systems are approximated by positive asymptotically stable discretetime linear systems by the use of Pade type approximation. It is shown that the approximation preserves the positivity and asymptotic stability of the systems. The stabilization problem of positive unstable continuous-time and corresponding discrete-time linear systems by state-feedbacks is also addressed.

Keywords

approximation, continuous-time, discrete-time, linear positive system, stability

Aproksymacja dodatnich stabilnych ciągłych układów liniowych przez dodatnie stabilne układy dyskretne

Streszczenie

Dodatnie układy stabilne ciągłe są aproksymowane za pomocą liniowej aproksymacji Pade dodatnimi, stabilnymi układami dyskretnymi. Wykazano, że aproksymacja ta zachowuje dodatniość i stabilność asymptotyczną. Rozważania ogólne zostały zilustrowane przykładem numerycznym.

Słowa kluczowe

aproksymacja, dodatni, dyskretny, stabilny, układ ciągły

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