Controlling chaos in a model of thermal pulse combustion

Journal Article · Tue Aug 15 04:00:00 EDT 1995 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.360138· OSTI ID:83903

Rhode, M A; Rollins, R W ^[1]; Markworth, A J ^[2]; Edwards, K D; Nguyen, K ^[3]; Daw, C S; Thomas, J F ^[4]

---

1. Condensed Matter and Surface Sciences Program, Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701-2979 (United States)
2. Engineering Mechanics Department, Battelle Memorial Institute, Columbus, Ohio 43201-2693 (United States)
3. Mechanical and Aerospace Engineering Department, University of Tennessee, Knoxville, Tennessee 37996 (United States)
4. Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)

We describe methods for automating the control and tracking of states within or near a chaotic attractor. The methods are applied in a simulation using a recently developed model of thermal pulse combustion as the dynamical system. The controlled state is automatically tracked while a parameter is slowly changed well beyond the usual flame-out point where the chaotic attractor ceases to exist because of boundary crisis. A learning strategy based on simple neural networks is applied to map-based proportional feedback control algorithms both with and without a recursive term. Adaptive recursive proportional feedback is found to track farther beyond the crisis (flame-out) boundary than does the adaptive non-recursive map-based control. We also found that a continuous-time feedback proportional to the derivative of a system variable will stabilize and track an unstable fixed point near the chaotic attractor. The positive results suggest that a pulse combustor, and other nonlinear systems, may be suitably controlled to reduce undesirable cyclic variability and extend their useful operating range. {copyright} {ital 1995} {ital American} {ital Institute} {ital of} {ital Physics}.

• OSTI ID: 83903
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 4 Vol. 78; ISSN JAPIAU; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
ATTRACTORS
COMBUSTION
CONTROL THEORY
DYNAMICS
FEEDBACK
NEURAL NETWORKS
PULSES
SIMULATION