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math.OC2019★ 2 cited
A Convolution Bound Implies Tolerance to Time-variations and Unmodelled Dynamics
Mohamad T. Shahab, Daniel E. Miller
Recently it has been shown, in several settings, how to carry out adaptive control for an LTI plant so that a convolution bound holds on the closed-loop behavior; this, in turn, ha…
math.OC2019★ 1 cited
Classical d-Step-Ahead Adaptive Control Revisited: Linear-Like Convolution Bounds and Exponential Stability (Extended Version)
Daniel E Miller, Mohamad T. Shahab
Classical discrete-time adaptive controllers provide asymptotic stabilization and tracking; neither exponential stabilization nor a bounded noise gain is typically proven. In recen…
math.OC2017
Classical Discrete-Time Adaptive Control Revisited: Exponential Stabilization
Daniel E. Miller
Classical discrete-time adaptive controllers provide asymptotic stabilization. While the original adaptive controllers did not handle noise or unmodelled dynamics well, redesigned…