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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-87c826a3-2304-446c-96cc-b2912408261d

Czasopismo

Bulletin of the Polish Academy of Sciences. Technical Sciences

Tytuł artykułu

Suboptimal control of nonlinear continuous-time locally positive systems using input-state linearization and SDRE approach

Autorzy Bernat, J.  Kołota, J.  Stępień, S.  Superczyńska, P. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN The infinite time suboptimal control problem for continuous-time nonlinear positive systems is formulated and solved. A solution to the problem using input-state linearization and state-dependent Riccati equation method (SDRE) is established, a procedure for solving the problem is proposed and illustrated with a numerical example.
Słowa kluczowe
PL sprzężenie zwrotne   układy nieliniowe   równanie Riccatiego  
EN positive nonlinear systems   feedback control   Riccati equation  
Wydawca Polska Akademia Nauk, Wydział IV Nauk Technicznych
Czasopismo Bulletin of the Polish Academy of Sciences. Technical Sciences
Rocznik 2018
Tom Vol. 66, nr 1
Strony 17--21
Opis fizyczny Bibliogr. 15 poz., wykr.
Twórcy
autor Bernat, J.
  • Poznan University of Technology, Faculty of Computing, Institute of Automation and Robotics, Piotrowo 3a, 61-138 Poznan
autor Kołota, J.
  • Poznan University of Technology, Faculty of Computing, Institute of Automation and Robotics, Piotrowo 3a, 61-138 Poznan
autor Stępień, S.
  • Poznan University of Technology, Faculty of Computing, Institute of Automation and Robotics, Piotrowo 3a, 61-138 Poznan
autor Superczyńska, P.
Bibliografia
[1] E.D. Sontag, “Molecular systems biology and control”, European J. of Control 11, 396‒435 (2005).
[2] W.M. Haddad and V.S. Chellaboina, “Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems”, Nonlinear Analysis: Real World Applications 6(1), 35–65 (2005).
[3] R. Shorten, F. Wirth, and D. Leith, “A positive systems model of tcp-like congestion control: Asymptotic results”, IEEE/ACM Transactions on Networking 14(3), 616–629 (2006).
[4] J. von Neumann, “A model of general economic equilibrium”, The Review of Economic Studies 13(1), 1–9 (1945).
[5] I. Chang, S.Y. Park, and K.H. Choi, “Nonlinear attitude control of a tether-connected multi-satellite in three-dimensional space”, IEEE Trans. Aeros. Electron. Syst. 46(4), 1950–1968, (2010).
[6] H.T. Banks, B.M. Lewis, and H.T. Tran, “Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach”, Comput. Optim. Appl. 37, 177–218, (2007).
[7] T. Do, S. Kwak, H. Choi, and J. Jung, “Suboptimal control scheme design for interior permanent-magnet synchronous motors: an SDRE-based approach”, IEEE Trans on Power Electron. 29(6), 3020‒3030, (2014).
[8] T.D. Do, H.H. Choi, and J.W. Jung, “SDRE-based near optimal control system design for PM synchronous motor”, IEEE Trans. Ind. Electron. 59(11), 4063–4074 (2012).
[9] B.D.O. Anderson and J.B. Moore, Optimal Control Linear Quadratic Methods, Prentice-Hall, Englewood Cliffs, 1990.
[10] A. Isidori, Nonlinear Control Systems. Springer, New York, 1995.
[11] T. Kaczorek, “Minimum energy control of positive continuous- time linear systems with bounded inputs”, Int. J. Appl. Math. Comput. Sci. 23(4), 725–730, (2013).
[12] J.S. Shamma and M. Athens, “Analysis of gain scheduled control for nonlinear plants”, IEEE Trans. Autom. Control 35(8), 898–907, (1990).
[13] J.R. Cloutier, C.N. D’Souza, and C.P. Mracek, “Nonlinear regulation and nonlinear h∞ control via the state-dependent Riccati equation technique: part 1”, Proceedings of the First International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, (1996).
[14] A. Wernli and G. Cook, “Suboptimal control for the nonlinear quadratic regulator problem”, Automatica 11, 75–84, (1975).
[15] W.L. Garrard, “Design of non-linear automatic flight control system”, Automatica 13(5), 497–505, (1977).
Uwagi
PL Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-87c826a3-2304-446c-96cc-b2912408261d
Identyfikatory
DOI 10.24425/119054