Exponential Stabilization using Piecewise Constant Gain Adaptation

Owens, David H.; Ilchmann, Achim GND

An adaptive stabilizer for a class of single-input-single-output (SISO) minimum phase systems with known sign is introduced. It extends the work of J.C. Willems and C.I. Byrnes (1984) but uses a threshold-based piecewise constant gain adaptation. This provides an exponential decaying state, and the set of thresholds which stabilize the terminal system exponentially is dense.

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Owens, David H. / Ilchmann, Achim: Exponential Stabilization using Piecewise Constant Gain Adaptation. 2005.

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