Robust strictly positive real synthesis of polynomial segments for discrete time systems
Yu, Wensheng, Wang, Long and Xiang, Yong 2003, Robust strictly positive real synthesis of polynomial segments for discrete time systems, in Proceedings of the 42nd IEEE Conference on Decision and Control, IEEE Control Systems Society, Piscataway, N.J., pp. 622-627.
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Title
Robust strictly positive real synthesis of polynomial segments for discrete time systems
Proceedings of the 42nd IEEE Conference on Decision and Control
Editor(s)
Abdallah, Chaouki
Publication date
2003
Start page
622
End page
627
Publisher
IEEE Control Systems Society
Place of publication
Piscataway, N.J.
Summary
By using the result of robust strictly positive real synthesis of polynomial segments for continuous time systems, it is proved that, for any two n-th order polynomials a(z) and b(z), the Schur stability of their convex combination is necessary and sufficient for the existence of an n-th order polynomial c(z) such that c(z)/a(z) and c(z)/b(z) are both strictly positive real. We also provide the construction method of c(z). Illustrative examples are provided to show the effectiveness of this method.