Optimization of Dynamic Systems

“…We formulate the brush dynamics system as a static constrained minimization problem [1]. The energy function takes into account the frictional and deformation energies.…”

Section: Energy Minimization Problemmentioning

confidence: 99%

“…In Chinese brushwork, a painter uses his brush in a manner similar to the way a musician uses his instrument to deliver harmonious rhythm -each brush stroke should be rendered in a continuous rhythmic movement so that the painted subject exhibits vigor and spirit [10,18]. The artist's intent is always to capture the spirit of the painted subject, rather than the accuracy of its outward appearance, and this is often achieved by the grace of a few deft strokes 1 . In the case of calligraphy, the brush movement is analogous to dancing.…”

Section: Introductionmentioning

confidence: 99%

An efficient brush model for physically-based 3D painting

Chu

Tai

10th Pacific Conference on Computer Graphics and Applications, 2002. Proceedings.

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“…To determine whether it is a minimum, a maximum or none of them, one has to inspect the second variation of the functional in the performance index. This can be achieved by studying the definiteness of the following matrix P [4,26].…”

Section: Sufficient Conditionmentioning

confidence: 99%

Bond graph formulation of an optimal control problem for linear time invariant systems

Marquis-Favre¹,

Mouhib²,

Chereji³

et al. 2008

Journal of the Franklin Institute

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A recent communication has proposed a conjectural procedure for representing a category of optimal control problems in bond graph language [W. Marquis-Favre, B. Chereji, D. Thomasset, S. Scavarda, Bond graph representation of an optimal control problem: the dc motor example, in: ICBGM' 05 International Conference of Bond Graph Modelling and Simulation, New Orleans, USA, January 23-27, 2005, pp. 239-244]. This paper aims at providing a fundamental theory for proving the effectiveness of this procedure. The class of problem that the procedure can deal with has been extended. Its application was formerly restricted to linear time invariant SISO system. The systems considered now are linear time invariant MIMO systems. The optimization objective is the minimization of dissipation and input. The developments concerning the optimal control problem are based on the Pontryagin maximum principle and the proof of the effectiveness of the procedure makes a broad use of the port-Hamiltonian concept. As a result, the bond graph representation of the given optimization problem enables the analytical system, which provides the optimal solution, to be derived. The work presented in this paper is the first step in research with perspectives towards formulating dynamic optimization problems in bond graph and, towards coupling this formulation with a sizing methodology using bond graph language and a state-space inverse model approach. This sizing methodology, however, is not the topic of this paper and thus is not presented here

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Optimization of Dynamic Systems

Cited by 62 publications

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Optimization of Anisotropic Sandwich Beams for Higher Sound Transmission Loss

Optimization of Anisotropic Sandwich Beams for Higher Sound Transmission Loss

An efficient brush model for physically-based 3D painting

Bond graph formulation of an optimal control problem for linear time invariant systems

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