High-Speed Switch-On of a Semiconductor Gas Discharge Image Converter Using Optimal Control Methods

Kim, J.-H.R.; Maurer, Helmut; Astrov, Yu. A.; Bode, Matthias; Purwins, H.‐G.

doi:10.1006/jcph.2001.6741

Cited by 17 publications

(15 citation statements)

References 13 publications

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“…The optimal control problem given in Eqs. (31)- (35) was solved using each of the five mesh refinement methods hp-BB, hp-I, hp-II, hp-III, and hp-IV. The solutions obtained using any of these five mesh refinement methods are in close agreement and match the solution given in Ref.…”

Section: Example 2: Robot Arm Problemmentioning

confidence: 99%

Mesh Refinement Method for Solving Bang-Bang Optimal Control Problems Using Direct Collocation

Agamawi

Hager

Rao

2020

AIAA Scitech 2020 Forum

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A mesh refinement method is developed for solving bang-bang optimal control problems using direct collocation. The method starts by finding a solution on a coarse mesh. Using this initial solution, the method then determines automatically if the Hamiltonian is linear with respect to the control, and, if so, estimates the locations of the discontinuities in the control. The switch times are estimated by determining the roots of the switching functions, where the switching functions are determined using 1 arXiv:1905.11895v3 [math.OC]

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Section: Example 2: Robot Arm Problemmentioning

confidence: 99%

Mesh Refinement Method for Solving Bang-Bang Optimal Control Problems Using Direct Collocation

Agamawi

Hager

Rao

2020

AIAA Scitech 2020 Forum

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“…It consists of two main components: a semiconductor layer (A) and a gas discharge domain (B). The planar structure is fed by a voltage source U m that is connected to plane electrode (C) and (D), which are in contact with the semiconductor and gas discharge components, respectively (Kim, Maurer, Astrov, Bode, & Purwinst, 2001). The model of the Figure 3.…”

Section: Noise-induced Transition In a Semiconductor-gas-discharge Gamentioning

confidence: 99%

On robustness against disturbances of passive systems with multiple invariant sets

Barroso

Ushirobira

Efimov

et al. 2020

International Journal of Control

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Robustness of stability with respect to external perturbations is an important property characterizing the ability of the dynamics to counteract the influence of uncertainties. In the present paper such a property is investigated for the class of passive and strictly passive systems, which have several invariant compact and globally attracting subsets in the unforced scenario. It is assumed that the storage and supply rate functions are sign-definite with respect to these sets. The results are obtained within the framework of input-to-state stability and integral input-to-state stability for multistable systems. The robustness conditions are obtained for open-loop and for closed-loop cases, i.e. when an output feedback is required to guarantee robustness. Two applications (related with the model of multispecies populations) of the proposed theory are used to illustrate its efficiency.

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“…In optimal control fields, a classical topic is the bang-bang type of control problems. Bang-bang control, where the input control jumps from one boundary to another, is the optimal strategy to solve a wide range of control problems in some of the well-known areas of application, such as industrial robots [18], aerospace engineering [43], cranes [17], applied physics [23] and biological systems [24,25]. When the control has lower and upper bounds, and appears linearly in the objective function and the dynamical equations, the optimal control is often characterized by bang-bang type control [4].…”

Section: Introductionmentioning

confidence: 99%

A Combined Adaptive Control Parametrization and Homotopy Continuation Technique for the Numerical Solution of Bang–bang Optimal Control Problems

2014

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We present an efficient computational procedure for the solution of bang-bang optimal control problems. The method is based on a well-known adaptive control parametrization method, which is one of the direct methods for numerical solution of optimal control problems. First, the adaptive control parametrization method is reviewed and then its advantages and disadvantages are illustrated. In order to resolve the need for a priori knowledge about the structure of optimal control and for resolving the sensitivity to an initial guess, a homotopy continuation technique is combined with the adaptive control parametrization method. The present combined method does not require any assumptions on the control structure and the number of switching points. In addition, the switching points are captured accurately; also, efficiency of the method is reported through illustrative examples.2010 Mathematics subject classification: primary 49J30; secondary 65H20, 49M37.

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High-Speed Switch-On of a Semiconductor Gas Discharge Image Converter Using Optimal Control Methods

Cited by 17 publications

References 13 publications

Mesh Refinement Method for Solving Bang-Bang Optimal Control Problems Using Direct Collocation

Mesh Refinement Method for Solving Bang-Bang Optimal Control Problems Using Direct Collocation

On robustness against disturbances of passive systems with multiple invariant sets

A Combined Adaptive Control Parametrization and Homotopy Continuation Technique for the Numerical Solution of Bang–bang Optimal Control Problems

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