Periodicity and chaos from switched flow systems: contrasting examples of discretely controlled continuous systems

Periodicity and chaos from switched flow systems: contrasting examples of discretely controlled continuous systems

Two examples of the discrete control of a continuous variable system are analyzed. These examples exhibit what may be regarded as the two extremes of complexity of the closed-loop behavior: one is eventually periodic, the other is chaotic. The examples are derived from sampled deterministic flow mod...

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Veröffentlicht in:IEEE transactions on automatic control 1993-01, Vol.38 (1), p.70-83
Hauptverfasser: Chase, C., Serrano, J., Ramadge, P.J.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Automata
Automatic control
Chaos
Computer science
control theory
systems
Continuous time systems
Control system analysis
Control systems
Control theory. Systems
Cybernetics
Exact sciences and technology
Extraterrestrial measurements
Manufacturing systems
NASA
Physics
Stability
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Zusammenfassung:Two examples of the discrete control of a continuous variable system are analyzed. These examples exhibit what may be regarded as the two extremes of complexity of the closed-loop behavior: one is eventually periodic, the other is chaotic. The examples are derived from sampled deterministic flow models. These are of interest in their own right but have also been used as models for certain aspects of manufacturing systems. In each case, the authors give a precise characterization of the closed-loop behavior.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.186313