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    Wyświetlanie 1-6 z 6
    Tytuł:
    Pole-free vs. stable-pole designs of minimum variance control for nonsquare LTI MIMO systems
    Autorzy:
    Hunek, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/202277.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    minimum variance control
    multivariable control
    inverses of polynomial matrices
    control zeros
    minimum phase systems
    Opis:
    This paper takes advantage of nonuniqueness of the inverse problem for nonsquare transfer function matrices of multivariable systems in order to select such poles, if any, of a minimum variance control system that can either guarantee its closed-loop stability or provide (a sort of) robustness to the control system. As a result, new pole-free and stable-pole MVC designs are offered for nonsquare LTI MIMO systems, the most general of them utilizing the Smith-factorization approach and the so-called control zeros. The new designs contribute to an illustration and extension of the Davison’s theory of (nonsquare) minimum phase systems, in that the lack or presence of (appropriate) control zeros can provide a required performance to the MVC system. Simulation examples in the Matlab/Simulink environment confirm the potential of the control zeros and their impact on redefinition of the minimum phase property.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 2; 201-211
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solving a permutation problem by a fully polynomial-time approximation scheme
    Autorzy:
    Gawiejnowicz, Stanisław
    Kurc, Wiesław
    Pankowska, Lidia
    Powiązania:
    https://bibliotekanauki.pl/articles/729290.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    combinatorial optimization
    discrete control theory
    fully polynomial-time approximation scheme
    Opis:
    For a problem of optimal discrete control with a discrete control set composed of vertices of an n-dimensional permutohedron, a fully polynomial-time approximation scheme is proposed.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 191-203
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximate gradient projection method with general Runge-Kutta schemes and piecewise polynomial controls for optimal control problems
    Autorzy:
    Chryssoverghi, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/970094.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    dyskretyzacja
    sterowanie optymalne
    optimal control
    gradient projection method
    discretization
    non-matching Runge-Kutta schemes
    piecewise polynomial controls
    Opis:
    This paper addresses the numerical solution of optimal control problems for systems described by ordinary differential equations with control constraints. The state equation is discretized by a general explicit Runge-Kutta scheme and the controls are approximated by functions that are piecewise polynomial, but not necessarily continuous. We then propose an approximate gradient projection method that constructs sequences of discrete controls and progressively refines the discretization. Instead of using the exact discrete cost derivative, which usually requires tedious calculations, we use here an approximate derivative of the cost functional denned by discretizing the continuous adjoint equation by the same Runge-Kutta scheme backward and the integral involved by a Newton-Cotes integration rule, both involving maximal order intermediate approximations. The main result is that strong accumulation points in L2, if they exist, of sequences generated by this method satisfy the weak necessary conditions for optimality for the continuous problem. In the unconstrained case and under additional assumptions, we prove strong convergence in L2 and derive an a posteriori error estimate. Finally, numerical examples are given.
    Źródło:
    Control and Cybernetics; 2005, 34, 2; 425-451
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Proper feedback compensators for a strictly proper plant by polynomial equations
    Autorzy:
    Callier, F. M.
    Kraffer, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/908450.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    liniowy układ stacjonarny
    sprzężenie zwrotne
    macierz wielomianowa
    równanie wielomianowe
    linear time-invariant feedback control systems
    polynomial matrix systems
    row-column-reduced polynomial matrices
    feedback compensator design
    flexible belt device
    Opis:
    We review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 493-507
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Stability Interval of the Set of Linear System
    Autorzy:
    Mazakov, Talgat
    Wójcik, Waldemar
    Jomartova, Sholpan
    Karymsakova, Nurgul
    Ziyatbekova, Gulzat
    Tursynbai, Aisulu
    Powiązania:
    https://bibliotekanauki.pl/articles/1844628.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    automatic control system
    stability
    matrix
    minor
    characteristic polynomial
    Hurwitz criterion
    Lienard-Shipard criterion of interval mathematics
    Lyapunov function
    Opis:
    The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and LienardShipar interval criteria. Krylov, Leverier, and Leverier-Danilevsky algorithms are implemented for automated construction and analysis of the interval characteristic polynomial. The interval mathematics library was used while developing the software. The stability of the dynamic system described by linear ordinary differential equations is determined and based on the properties of the eigenvalues of the interval characteristic polynomial. On the basis of numerical calculations, the authors compare several methods of constructing the characteristic polynomial. The developed software that implements the introduced interval arithmetic operations can be used in the study of dynamic properties of automatic control systems, energy, economic and other non-linear systems.
    Źródło:
    International Journal of Electronics and Telecommunications; 2021, 67, 2; 155-161
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A study on new right/left inverses of nonsquare polynomial matrices
    Autorzy:
    Hunek, W. P.
    Latawiec, K. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907786.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ wielowymiarowy
    macierz wielomianowa
    sterowanie minimalnowariancyjne
    multivariable systems
    right/left inverses of polynomial matrices
    Smith factorization
    minimum variance control
    Opis:
    This paper presents several new results on the inversion of full normal rank nonsquare polynomial matrices. New analytical right/left inverses of polynomial matrices are introduced, including the so-called [...]-inverses, [...]-inverses and, in particular, S-inverses, the latter providing the most general tool for the design of various polynomial matrix inverses. The application-oriented problem of selecting stable inverses is also solved. Applications in inverse-model control, in particular robust minimum variance control, are exploited, and possible applications in signal transmission/recovery in various types of MIMO channels are indicated.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 2; 331-348
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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