Optimal control of the parametric oscillator

Bjarne Bøgeskov Andresen; Karl Heinz Hoffmann; James Nulton; Anatoly Tsirlin; Peter Salamon

doi:10.1088/0143-0807/32/3/018

Optimal control of the parametric oscillator

Bjarne Bøgeskov Andresen, Karl Heinz Hoffmann, James Nulton, Anatoly Tsirlin, Peter Salamon

21 Citations (Scopus)

Abstract

We present a solution to the minimum time control problem for a classical harmonic oscillator to reach a target energy E_T from a given initial state (q_i, p_i) by controlling its frequency ω, ω_min ≤ ω ≤ ω_max. A brief synopsis of optimal control theory is included and the solution for the harmonic oscillator problem is used to illustrate the theory.

Original language	English
Journal	European Journal of Physics
Volume	32
Issue number	3
Pages (from-to)	827-843
Number of pages	16
ISSN	0143-0807
DOIs	https://doi.org/10.1088/0143-0807/32/3/018
Publication status	Published - May 2011

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title = "Optimal control of the parametric oscillator",

abstract = "We present a solution to the minimum time control problem for a classical harmonic oscillator to reach a target energy ET from a given initial state (qi, pi) by controlling its frequency ω, ωmin ≤ ω ≤ ωmax. A brief synopsis of optimal control theory is included and the solution for the harmonic oscillator problem is used to illustrate the theory.",

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year = "2011",

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doi = "10.1088/0143-0807/32/3/018",

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T1 - Optimal control of the parametric oscillator

AU - Andresen, Bjarne Bøgeskov

AU - Hoffmann, Karl Heinz

AU - Nulton, James

AU - Tsirlin, Anatoly

AU - Salamon, Peter

PY - 2011/5

Y1 - 2011/5

N2 - We present a solution to the minimum time control problem for a classical harmonic oscillator to reach a target energy ET from a given initial state (qi, pi) by controlling its frequency ω, ωmin ≤ ω ≤ ωmax. A brief synopsis of optimal control theory is included and the solution for the harmonic oscillator problem is used to illustrate the theory.

AB - We present a solution to the minimum time control problem for a classical harmonic oscillator to reach a target energy ET from a given initial state (qi, pi) by controlling its frequency ω, ωmin ≤ ω ≤ ωmax. A brief synopsis of optimal control theory is included and the solution for the harmonic oscillator problem is used to illustrate the theory.

U2 - 10.1088/0143-0807/32/3/018

DO - 10.1088/0143-0807/32/3/018

M3 - Journal article

SN - 0143-0807

VL - 32

SP - 827

EP - 843

JO - European Journal of Physics

JF - European Journal of Physics

IS - 3

ER -

Optimal control of the parametric oscillator

Abstract

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