# Classical d-Step-Ahead Adaptive Control Revisited: Linear-Like Convolution Bounds and Exponential Stability

@article{Miller2019ClassicalDA, title={Classical d-Step-Ahead Adaptive Control Revisited: Linear-Like Convolution Bounds and Exponential Stability}, author={Daniel E. Miller and Mohamad T. Shahab}, journal={2019 American Control Conference (ACC)}, year={2019}, pages={417-422} }

11This research was supported by the Natural Sciences and Engineering Research Council of Canada.Classical discrete-time adaptive controllers provide asymptotic stabilization and tracking; neither exponential stabilization nor a bounded noise gain is typically proven. In recent work it has been shown, in both the pole placement stability setting and the first-order one-step-ahead tracking setting, that if the original, ideal, Projection Algorithm is used (subject to the common assumption that…

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## 7 Citations

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The approach to the more general Model Reference Adaptive Control (MRAC) problem is extended and it is demonstrated that the same desirable linear-like closed-loop properties are achieved.

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