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- W1999392549 abstract "Exponentially stabilizing controllers are derived for the transverse vibration of a string-mass sys tem modeled by the one-dimensional wave equation with a pinned and a controlled boundary condition. Lya punov's theory for distributed parameter systems, the Meyer-Kalman-Yakubovitch Lemma, and integral in equalities prove that a class of boundary controllers provide strong exponential stability. These controllers are designed so that the transfer function between boundary slope and velocity satisfies a restricted strictly positive real condition. An example controller, consisting of boundary position, velocity, slope, slope rate, and integrated slope feedback, is implemented on a laboratory test stand. In experimental impulse response tests, the controlled response decays six times faster than the open-loop response and has half the response amplitude." @default.
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- W1999392549 date "1999-05-01" @default.
- W1999392549 modified "2023-09-26" @default.
- W1999392549 title "Exponentially Stabilizing Boundary Control of String-Mass Systems" @default.
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- W1999392549 doi "https://doi.org/10.1177/107754639900500309" @default.
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