An adaptive control scheme for hyperbolic partial differential equation system (drilling system) with unknown coefficient

• Autorzy: Farahani H. S. , Telabi H. A. , Baghermenhaj M.

Identyfikatory

DOI

10.1515/acsc-2017-0004

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

drilling systems; adaptive control; hyperbolic partial differential equations; wave equation; boundary control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2017
• Tom: Vol. 27, no. 1
• Strony: 63--76
• Opis fizyczny: Bibliogr. 21 poz., rys., tab., wykr., wzory

Twórcy

autor

Farahani H. S.

• Amirkabir University of Technology, Tehran, Iran (Islamic Republic of)

autor

Telabi H. A.

• Amirkabir University of Technology, Teheran, Iran (Islamic Republic of)

autor

Baghermenhaj M.

• Amirkabir University of Technology, Teheran, Iran (Islamic Republic of)

Bibliografia

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• [18] C. Prieu and F. Mazenc: ISS-Lyapunov function for time varying hyperbolic systems of balance law. Mathematics of Control, Signals, and Systems, 24 (2012), 111-134.
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).