Sterowanie optymalne systemami o parametrach rozłożonych z opóźnieniami

Kowalewski, A.

Artykuł - szczegóły

Tytuł artykułu

Sterowanie optymalne systemami o parametrach rozłożonych z opóźnieniami

Autorzy

Kowalewski A.

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Warianty tytułu

Optimal Control of Distributed Parameter Systems with Delays

Języki publikacji

Abstrakty

W artykule dokonano przeglądu problematyki sterowania optymalnego systemami o parametrach rozłożonych z opóźnieniami w warunkach brzegowych. Zaprezentowano podstawowe zagadnienia dotyczące systemów o parametrach rozłożonych takie jak: istnienie i jednoznaczność rozwiązań, sterowanie optymalne rozłożone i brzegowe, sterowanie optymalne ze sprzężeniem zwrotnym, sterowanie czasowo-optymalne, sterowalność oraz modele matematyczne systemów o parametrach rozłożonych.

In this article the review of optimal control problems for distributed parameter systems with boundary conditions involving time delays is performed. The principal problems, namely: existence and uniqueness of solutions, distributed and boundary optimal control, optimal feedback control, controllability and mathematical models of distributed parameter systems are presented.

Słowa kluczowe

sterowanie optymalne warunki optymalności istnienie i jednoznaczność opóźnienia czasowe

optimal control optimality conditions existence and uniqueness of solutions time delays

Wydawca

Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów PIAP

Czasopismo

Pomiary Automatyka Robotyka

Rocznik

2011

Tom

R. 15, nr 12

Strony

57--59

Opis fizyczny

Bibliogr. 27 poz.

Twórcy

autor

Kowalewski A.

AGH Akademia Górniczo-Hutnicza, Wydział EAIiE, Katedra Automatyki, ako@ia.agh.edu.pl

Bibliografia

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2. El-Saify H.A.: Optimal control for n x n parabolic system involving time lag. „IMA Journal of Mathematical Control and Information”, Vol. 22, No. 3/2005, 240-250.
3. El-Saify H.A.: Optimal boundary control problem for n X n infinite order parabolic lag system. „IMA Journal of Mathematical Control and Information", Vol. 23, No. 4/2006, 433-445.
4. Knowles G.: Time-optimal control of parabolic systems with boundary conditions involving time delays. „Journal of Optimization Theory and Applications”, Vol. 25, No. 4/1978, 563-574.
5. Kowalewski A.: Optimal control of distributed hyperbolic system with boundary condition involving a time lag. „Archives of Automatic Control and Remote Control”, Vol. 33, No. 4/1988, 537-545.
6. Kowalewski A.: Boundary control of distributed parabolic system with boundary condition involving a timevarying lag. „International Journal of Control”, Vol. 48, No. 6/1988, 2233-2248.
7. Kowalewski A.: Feedback control of a distributed parabolic system with boundary condition involving a timevarying-lag. „IMA Journal of Mathematical Control and Information”, Vol. 7, No.2/1990, 143-157.
8. Kowalewski A.: Minimum time problem for a distributed parabolic system with boundary condition involving a timevarying lag. „Archives of Automatic Control and Remote Control”, Vol. 35, No. 3-4/1990, 143-153.
9. Kowalewski A.: Optimal control of distributed parabolic systems involving time lags. „IMA Journal of Mathematical Control and Information”, Vol. 7, No. 4/1990,375-393.
10. Kowalewski A., Duda J.: On some optimal control problem for a parabolic system with boundary condition involving a time-varying lag. „IMA Journal of Mathematical Control and Information", Vol. 9, No. 2/1992, 131-146.
11. Kowalewski A.: Optimal control of parabolic systems with time-varying lags. „IMA Journal of Mathematical Control and Information”, Vol. 10, No. 2/1993, 113-129.
12. Kowalewski A.: Optimal control of hyperbolic system with time lags. „Journal of Applied Mathematics and Computer Science”, Vol. 3, No. 4/1993, 687-697.
13. Kowalewski A.: Boundary control of hyperbolic system with time lags. „IMA Journal of Mathematical Control and Information”, Vol. 10, No. 3/1993, 261-272.
14. Kowalewski A.: Optimal control of distributed parabolic systems with multiple time-varying lags. „International Journal of Control”, Vol. 69, No. 3/1998, 361-381.
15. Kowalewski A.: Optimal control of a distributed hyperbolic system with time-varying lags. „International Journal of Control”, Vol. 71, No. 3/1998, 419- 435.
16. Kowalewski A., Krakowiak A.: Time optimal control of parabolic systems with multiple time-varying lags. „Journal of Applied Mathematics and Computer Science”, Vol. 8, No. 3/1998, 471-489.
17. Kowalewski A.: Optimization of parabolic systems with deviating arguments. „International Journal of Control”, Vol. 72, No. 11/1999, 947-959.
18. Kowalewski A.: Optimal control of distributed hyperbolic systems with deviating arguments. „International Journal of Control”, Vol. 73, No. 11/2000, 1026-1041.
19. Kowalewski A.: Optimal Control of Infinite Dimensional Distributed Parameter Systems with Delays. AGH University of Science and Technology Press, Cracow 2001.
20. Kowalewski A., Krakowiak A.: Time optimal control of a parabolic system with time lags given in the integral form. „IMA Journal of Mathematical Control and Information”, Vol. 17, No. 3/2000, 209-225.
21. Kowalewski A.: Time optimal control of hyperbolic systems with deviating arguments. „International Journal of Control”, Vol. 76, No. 6/2003, 557-565.
22. Kowalewski A., Duda J.: An optimization problem for time lag distributed parabolic systems. „IMA Journal of Mathematical Control and Information”, Vol. 21, No. 1/2004, 15-31.
23. Kowalewski A., Krakowiak A.: Time-optimal boundary control of a parabolic system with time lags given in the integral form. „International Journal of Applied Mathematics and Computer Science”, Vol. 16, No. 3/2006, 287-295.
24. Kowalewski A., Krakowiak A.: Time-optimal boundary control of an infinite order parabolic system with time lags. „International Journal of Applied Mathematics and Computer Science”, Vol. 18, No. 2/2008, 189-198.
25. Kowalewski A.: Time-optimal control of infinite order hyperbolic systems with time delays. „International Journal of Applied Mathematics and Computer Science”, Vol. 19, No. 4/2009, 597-568.
26. Wang P.K.C.: Optimal control of parabolic systems with boundary conditions involving time delays. „SIAM Journal on Control”, Vol. 13, No. 2/1975, 274-293.
27. Wong K.H.: Optimal control computation for parabolic systems with boundary conditions involving time delays. „Journal of Optimization Theory and Applications”, Vol. 53, No. 3/1987, 475-507

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Bibliografia

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