Improving the stability of discretization zeros with the Taylor method using a generalization of the fractional-order hold

• Autorzy: Zeng C. , Liang S. , Zhang Y. , Zhong J. , Su Y.

Identyfikatory

DOI

10.2478/amcs-2014-0055

• Języki publikacji: EN

Abstrakty

EN

Remarkable improvements in the stability properties of discrete system zeros may be achieved by using a new design of the fractional-order hold (FROH) circuit. This paper first analyzes asymptotic behaviors of the limiting zeros, as the sampling period T tends to zero, of the sampled-data models on the basis of the normal form representation for continuous-time systems with a new hold proposed. Further, we also give the approximate expression of limiting zeros of the resulting sampled-data system as power series with respect to a sampling period up to the third order term when the relative degree of the continuous-time system is equal to three, and the corresponding stability of the discretization zeros is discussed for fast sampling rates. Of particular interest are the stability conditions of sampling zeros in the case of a new FROH even though the relative degree of a continuous-time system is greater than two, whereas the conventional FROH fails to do so. An insightful interpretation of the obtained sampled-data model can be made in terms of minimal intersample ripple by design, where multirate sampled systems have a poor intersample behavior. Our results provide a more accurate approximation for asymptotic zeros, and certain known results on asymptotic behavior of limiting zeros are shown to be particular cases of the ideas presented here.

Słowa kluczowe

EN

stability; discretization zeros; Taylor method; signal reconstruction; sampled data model

PL

stabilność; dyskretyzacja; metoda Taylora; rekonstrukcja sygnału; model danych

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 4
• Strony: 745--757
• Opis fizyczny: Bibliogr. 40 poz., tab., wykr.

Twórcy

autor

Zeng C.

• College of Science, Guizhou Institute of Technology, No. 1 Caiguanlu, Yunyan, Guiyang Guizhou, 550003, China; College of Automation, University of Chongqing, No. 174 Shazhengjie, Shapingba, Chongqing, 400044, China

autor

Liang S.

• College of Automation, University of Chongqing, No. 174 Shazhengjie, Shapingba, Chongqing, 400044, China; Key Laboratory of Dependable Service Computing in Cyber Physical Society, Ministry of Education, University of Chongqing, No. 174 Shazhengjie, Shapingba, Chongqing, 400044, China

autor

Zhang Y.

• College of Automation, University of Chongqing, No. 174 Shazhengjie, Shapingba, Chongqing, 400044, China

autor

Zhong J.

• College of Automation, University of Chongqing, No. 174 Shazhengjie, Shapingba, Chongqing, 400044, China

autor

Su Y.

• College of Automation University of Chongqing, No. 174 Shazhengjie, Shapingba, Chongqing, 400044, China; Department of Electric and Electronic Information Engineering, Chongqing University of Science and Technology, No. 20 Daxuecheng, Shapingba, Chongqing, 401331, China

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