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Tytuł artykułu

Synthesis of the Quadratic Near-optimal Closed of a Linear System with Disturbances

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EN
Abstrakty
EN
The paper deals with the synthesis procedure of a closed-loop quadratic, near-optimal control of a linear, time-invariant system, subject to known, deterministic, external disturbances. On the basis of the approximate, open-loop control obtained for that system by application of Legendre polynomials method the state-feedback matrix and the input signal vector were found.
Twórcy
  • Technical University of Łódź, Institute of Mathematics, Al. Politechniki 11, 90-924 Łódź, Poland (Instytut Matematyki Politechniki Łódzkiej)
Bibliografia
  • [1] G. Szego, Orthogonal polynomials, Am. Math. Soc., New York 1975.
  • [2] R.Y. Chang, M.L. Wang, Legendre polynomials approximation to dynamic linear state equations with initial or boundary value conditions, Int. J. Control, 40 (1984) 215-232.
  • [3] R. Y. Chang, M.L. Wang, Shifted Legendre direct method for variational problems, JOTA 39 (1983) 299-307.
  • [4] P. N. Paraskevopoulos, Legendre series approach to identification and analysis of linear systems, IEEE Trans. Autom. Control, AC-30 (1985) 585-589.
  • [5] D.H. Shih, F.C. Kung, Optimal control of deterministic systems via shifted Legendre polynomials, IEEE Trans. Autom. Control, AC-31 (1986) 451-454.
  • [6] M.L. Wang, R. Y. Chang, Solution of linear dynamic system with initial or boundary value condition via shifted Legendre approximations, Int. J. Syst. Sci., 14 (1983) 343-353.
  • [7] J. Pełczewski, Application of Legendre polynomials method for some optimal control problems, Demonstratio Mathematica, XXIII (1990) 567-576.
  • [8] J. Pełczewski, Optimization algorithm based on Legendre polynomials method for the linear quadratic optimal control problem with disturbances, Bull. Pol. Ac.: Tech., 40 (1992) 377-385.
  • [9] M. H. Perng, Direct approach for the optimal control of linear time-delay systems via shifted Legendre polynomials, Int. J. Control, 43 (1986) 1897-1904.
  • [10] C. Hwang, N. Y. Chen, Analysis and optimal control of time – varying linear systems via shifted Legendre polynomials, Int. J. Control, 41 (1985), 1317-1330.
  • [11] C. Hwang, M. Y. Chen, Suboptimal control of linear time-varying multidelay systems via shifted Legendre polynomials, Int.J.Syst.Sci., 16 (1985) 1517-1537.
  • [12] J. Pełczewski, Approximate solution of the linear quadratic control problem with inegality constraints, Optimization, 32 (1995) 159-173.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG1-0010-0042
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