On the stabilization and stability robustness against small delays of some damped wave equations
IEEE Transactions on Automatic Control
1626 - 1630
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In this note we consider a system which can be modeled by two different one-dimensional damped wave equations in a bounded domain, both parameterized by a nonnegative damping constant. We assume that the system is fixed at one end and is controlled by a boundary controller at the other end. We consider two problems, namely the stabilization and the stability robustness of the closed-loop system against arbitrary small time delays in the feedback loop. We propose a class of dynamic boundary controllers and show that these controllers solve the stabilization problem when the damping coefficient is nonnegative and stability robustness problem when the damping coefficient is strictly positive.
KeywordsBoundary value problems
Closed loop control systems
Delay control systems
Linear control systems
Robustness (control systems)
Damped wave equations
Non-negative damping constant
Published Version (Please cite this version)http://dx.doi.org/10.1109/9.412634
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