Title :
Analytic study on the intrinsic zeros of sampled-data systems
Author :
Hagiwara, Tomomichi
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ., Japan
fDate :
2/1/1996 12:00:00 AM
Abstract :
This paper investigates the properties of the mapping from the simple zero γ of a scalar continuous-time system to the corresponding zero Γ(T) of the sampled-data system that results by its discretization using a zero-order hold, where T is the sampling period. It is shown that Γ(T) admits a Taylor expansion with respect to T, and that it coincides with that of exp(γT) at least up to the second-order term, in general, and at least up to the third-order term if the relative degree of the continuous-time system is greater than or equal to two. The result is applied to derive a new stability condition of Γ(T) for sufficiently small sampling periods
Keywords :
continuous time systems; poles and zeros; sampled data systems; stability; stability criteria; Taylor expansion; discretization; intrinsic zeros; sampled-data systems; scalar continuous-time system; stability condition; zero-order hold; Closed-form solution; Digital control; Polynomials; Sampling methods; Stability; Taylor series;
Journal_Title :
Automatic Control, IEEE Transactions on