Temat: hyperbolic equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: An adaptive control scheme for hyperbolic partial differential equation system (drilling system) with unknown coefficient
Autorzy:: Farahani, H. S.
Telabi, H. A.
Baghermenhaj, M.
Powiązania:: https://bibliotekanauki.pl/articles/229317.pdf
Data publikacji:: 2017
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: drilling systems
adaptive control
hyperbolic partial differential equations
wave equation
boundary control
Opis:: The adaptive boundary stabilization is investigated for a class of systems described by second-order hyperbolic PDEs with unknown coefficient. The proposed control scheme only utilizes measurement on top boundary and assume anti-damping dynamics on the opposite boundary which is the main feature of our work. To cope with the lack of full state measurements, we introduce Riemann variables which allow us reformulate the second-order in time hyperbolic PDE as a system with linear input-delay dynamics. Then, the infinite-dimensional time-delay tools are employed to design the controller. Simulation results which applied on mathematical model of drilling system are given to demonstrate the effectiveness of the proposed control approach.
Źródło:: Archives of Control Sciences; 2017, 27, 1; 63-76
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Sequential optimization for semilinear divergent hyperbolic equation with a boundary control and state inequality constraint
Autorzy:: Gavrilov, V. S.
Sumin, M. I.
Powiązania:: https://bibliotekanauki.pl/articles/206311.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: Radon measures
sequential optimization
maximum principle for minimizing sequences
semilinear hyperbolic partial differential equations
pointwise in time state constraints
boundary control
value function
sensitivity
normality
regularity
twoparameter needle variation of controls
Opis:: An optimal control problem with a state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind is considered. The state constraint contains a functional parameter that belongs to the class of continuous functions and occurs as an additive term. We study the properties of solutions of linear hyperbolic equations in divergence form with measures in the original data and compute the first variations of functionals on the basis of a so-called two-parameter needle variation of controls. We consider the necessary conditions for minimizing sequences in an optimal control problem with a pointwise in time state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind. For the parametric optimization problem, we also consider regularity and normality conditions stipulated by the differential properties of its value function.
Źródło:: Control and Cybernetics; 2014, 43, 2; 183-226
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

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