Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation

“…This function is based on the passivity nature of the DC-DC power converters and [12] gives more details about the choice of this Lyapunov function. Its derivative is given bẏ…”

Section: A Research Of the Singular Arcsmentioning

confidence: 99%

“…During the integration, the bang-bang control conditions given by (12) are checked. • Step 5: A state feedback control is established by an interpolation of the optimal trajectories from Step 4 using neural networks.…”

Section: B Algorithmmentioning

confidence: 99%

Hybrid optimal control with singular arcs for DC-DC power converters

Meghnous¹,

Patino²,

Pham³

et al. 2013

52nd IEEE Conference on Decision and Control

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International audienceIn this article, the design of a feedback control law for DC-DC power converters in continuous conduction mode based on hybrid optimal control theory is presented. The proposed technique consists in determining the singular arcs when a solution of the original optimal control problem cannot be provided. The closed loop stability analysis uses a Lyapunov function based on a port-Hamiltonian representation of the system. The proposed control law is applied to SEPIC converter and validated in simulation

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“…Control design by fully using the good natural system dynamics, i.e. the physically-based control design method can lead to simple and effective controllers, and is a promising trend of advanced control theory [13][14][15]. Very recently, based on the physically-based design approach, Dong proposed a nonlinear dynamic output-feedback power-level control law for the PWRs [16], and proved theoretically that the simple proportional-differential (PD) power-level control strategy could guarantee globally asymptotic closed-loop stability for the PWRs [17].…”

Section: Introductionmentioning

confidence: 99%

Output feedback PD power-level control for modular high temperature gas-cooled reactors

Dong

2014

The 26th Chinese Control and Decision Conference (2014 CCDC)

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Due to its inherent safety feature, the modular high temperature gas-cooled reactor (MHTGR) has been seen as one of the best candidates in building next generation nuclear plants (NGNPs). Since the MHTGR dynamics has high nonlinearity, it is necessary to develop nonlinear power-level controller which is not only beneficial to the safe, stable, efficient and autonomous operation of the MHTGR but also easy to be implemented practically. In this paper, based on the concept of shifted-ectropy and the physically-based control design approach, it is proved theoretically that the simple proportional-differential (PD) output-feedback power-level control provides globally asymptotic closed-loop stability. Numerical simulation results verify the theoretical results and show the influence of the controller parameters to the dynamic response.

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Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation

Cited by 37 publications

References 13 publications

L2 - Gain and Passivity Techniques in Nonlinear Control

L2 - Gain and Passivity Techniques in Nonlinear Control

Hybrid optimal control with singular arcs for DC-DC power converters

Output feedback PD power-level control for modular high temperature gas-cooled reactors

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