Temat: nonlinear boundary control - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Nonlinear boundary control of coupled Burgers equations
Autorzy:: Kobayashi, T.
Oya, M.
Powiązania:: https://bibliotekanauki.pl/articles/206228.pdf
Data publikacji:: 2003
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: równanie sprzężone Burgersów
stabilizacja globalna
regulacja adaptacyjna
sterowanie nieliniowe brzegowe
coupled Burgers' equation
global stabilization
adaptive regulation
nonlinear boundary control
Opis:: This paper is concerned with adaptive stabilization of two coupled viscous Burgers' equations by nonlinear boundary controllers. Under the existence of bounded deterministic disturbances, the adaptive controllers are constructed by the concept of high-gain nonlinear output feedback and the estimation mechanism of the unknown parameters. In the controlled system the global stability and the convergence of the system states to zero will be guaranteed. It is shown that the theory can be generalized to the systems with higher-order nonlinearity.
Źródło:: Control and Cybernetics; 2003, 32, 2; 245-258
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A Mesh-Independence Principle for Quadratic Penalties Applied to Semilinear Elliptic Boundary Control
Autorzy:: Grossman, Christian
Winkler, Max
Powiązania:: https://bibliotekanauki.pl/articles/1373554.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:: optimal boundary control
mesh-independence principle
penalty methods for control constraints
weakly nonlinear elliptic equations
Opis:: The quadratic loss penalty is a well known technique for optimization and control problems to treat constraints. In the present paper they are applied to handle control bounds in a boundary control problems with semilinear elliptic state equations. Unlike in the case of finite dimensional optimization for infinite dimensional problems the order of convergence could only be roughly estimated, but numerical experiments revealed a clearly better convergence behavior with constants independent of the dimension of the used discretization. The main result in the present paper is the proof of sharp convergence bounds for both, the finite und infinite dimensional problem with a mesh-independence in case of the discretization. Further, to achieve an efficient realization of penalty methods the principle of control reduction is applied, i.e. the control variable is represented by the adjoint state variable by means of some nonlinear function. The resulting optimality system this way depends only on the state and adjoint state. This system is discretized by conforming linear finite elements. Numerical experiments show exactly the theoretically predicted behavior of the studied penalty technique.
Źródło:: Schedae Informaticae; 2012, 21; 9-26
0860-0295
2083-8476
Pojawia się w:: Schedae Informaticae
Dostawca treści:: Biblioteka Nauki

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