The relationship between real poles and real zeros in SISO sampled data systems

The relationship between real poles and real zeros in SISO sampled data systems

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 all...

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Veröffentlicht in:IEEE transactions on automatic control 1989-06, Vol.34 (6), p.632-635
Hauptverfasser: Hara, S., Katori, H., Kondo, R.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Australia
Automatic control
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Differential equations
Exact sciences and technology
Poles and zeros
Polynomials
Robustness
Sampled data systems
Stability
Uncertain systems
Uncertainty
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Zusammenfassung: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.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.24233