Title :
The relationship between real poles and real zeros in SISO sampled data systems
Author :
Hara, Shinji ; Katori, Hideo ; Kondo, Ryo
Author_Institution :
Dept. of Control Eng., Tokyo Inst. of Technol., Japan
fDate :
6/1/1989 12:00:00 AM
Abstract :
A relationship between real poles and real zeros of SISO (single-input, single-output) sampled data systems is presented, which is independent of the sampling period. The relation is stated in terms of a parity property involving the number of real zeros between any two real poles. This property allows the investigation of conditions for the preservation of stable or unstable zeros under sampling. A sufficient condition for stability of a sampled system with a continuous-time plant having all real zeros, and a sufficient condition for instability of a two-sampled system with an unstable plant is developed
Keywords :
poles and zeros; sampled data systems; stability; SISO systems; continuous-time plant; instability; real poles; real zeros; sampled data systems; stability; two-sampled system; Australia; Automatic control; Differential equations; Poles and zeros; Polynomials; Robustness; Sampled data systems; Stability; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on