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    Wyświetlanie 1-3 z 3
    Tytuł:
    Numerical error bound of optimal control for homogeneous linear systems
    Autorzy:
    Daraghmeh, Adnan
    Qatanani, Naji
    Powiązania:
    https://bibliotekanauki.pl/articles/229410.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    time-invariant systems
    quadratic cost function
    linear quadratic regulator
    algebraic Riccati equation
    Hamiltonian function
    L2 norm
    Opis:
    In this article we focus on the balanced truncation linear quadratic regulator (LQR) with constrained states and inputs. For closed-loop, we want to use the LQR to find an optimal control that minimizes the objective function which called "the quadratic cost function” with respect to the constraints on the states and the control input. In order to do that we have used formal asymptotes for the Pontryagin maximum principle (PMP) and we introduce an approach using the so called The Hamiltonian Function and the underlying algebraic Riccati equation. The theoretical results are validated numerically to show that the model order reduction based on open-loop balancing can also give good closed-loop performance.
    Źródło:
    Archives of Control Sciences; 2019, 29, 2; 323-337
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Finite-dimensional representations of the value functions of some optimal control problems
    Autorzy:
    Mirica, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/206207.pdf
    Data publikacji:
    2002
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    funkcja brzegowa
    funkcja wartości
    regularność
    sterowanie optymalne
    twierdzenie weryfikacji
    generalized characteristic flow
    generalized Hamiltonian flow
    marginal function
    optimal control
    regularity
    value function
    verification theorem
    Opis:
    In this survey we analyze the possibility of obtaining information on regularity and irregularity properties of the value functions of some optimal control problems from their more precise description as marginal functions of finite-dimensional type, in terms of certain "generalized characteristic flows" which, in turn, may be constructed using either necessary optimality conditions (PMP-Pontryagin's Minimum Principle), whenever applicable, or suitable extensions of Cauchy's Method of Characteristics for the associated Hamilton-Jacobi-Bellman equation. This type of representation, which may be justified either by the application of PMP "combined" with existence theorems or by the application of a suitable verification theorem of Dynamic Programming type, not only facilitates numerical computation of the value function but also may allow identification of its discontinuity points, non-differentiability points, propagation of singularities, etc. ; this approach is illustrated with three significant examples from classical Calculus of Variations.
    Źródło:
    Control and Cybernetics; 2002, 31, 3; 779-801
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quantum simulations of band-to-band tunnelling in a type-II broken-gap superlattice diode
    Autorzy:
    Makowiec, Marcin
    Kolek, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/2204215.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Stowarzyszenie Elektryków Polskich
    Tematy:
    type-II superlattice
    broken-gap superlattice diode
    band-to-band tunnelling
    quantum transport
    nonequilibrium Green’s function
    twoband Hamiltonian
    Opis:
    In recent years, type-II superlattice-based devices have completed the offer of the electronic industry in many areas of applications. Photodetection is one of them, especially in the midinfrared wavelength range. It is due to the unique feature of a superlattice material, which is a tuneable bandgap. It is also believed that the dark current of superlattice-based photodetectors is strongly suppressed due to the suppression of the band-to-band tunnelling current in a superlattice material. This argument relies, however, on a semi-classical approach that treats superlattice as a bulk material with effective parameters extracted from the k·p analysis. In the paper, a superlattice device is analysed on a quantum level: the nonequilibrium Green’s function method is applied to the two-band Hamiltonian of the InAs/GaSb superlattice p-i-n diode. The analysis concentrates on the band-to-band tunnelling with the aim to validate the correctness of a semi-classical description of the phenomenon. The results of calculations reveal that in a superlattice diode, the inter-band tunnelling occurs only for certain values of energy and in-plane momentum, for which electronic and hole sub-bands cross. The transitions occurring for vanishing in-plane momentum produce resonances in the current-voltage characteristics - the feature which was reported in a few experimental observations. This scenario is quite different from that occurring in bulk materials, where there is a range of energy-momentum pairs for which the band-to-band tunnelling takes place, and so current-voltage characteristics are free from any resonances. However, simulations show that, while not justified for a detailed analysis, the semi-classical description can be applied to superlattice-based devices for an ‘order of magnitude’ estimation of the band-to-band tunnelling current.
    Źródło:
    Opto-Electronics Review; 2023, 31, Special Issue; art. no. e144558
    1230-3402
    Pojawia się w:
    Opto-Electronics Review
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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