A dynamic control law for the wave equation

Date

1994

Authors

Morgül, Ö.

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Abstract

We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is restricted to be a positive real function which could be strictly proper. We then show that, if the transfer function of the controller is strictly proper, then the resulting closed-loop system is asymptotically stable, and if proper but not strictly proper, then the resulting closed-loop system is exponentially stable.

Source Title

Automatica

Publisher

Elsevier

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Keywords

Boundary value problems, Distrubuted parameter systems, Lyapunov methods, Partial differential equations, Stability, Boundary conditions, Boundary value problems, Distributed parameter control systems, Lyapunov methods, Partial differential equations, System stability, Transfer functions, Dynamic control law, Linear wave equation, Control system analysis

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Published Version (Please cite this version)

Language

English