Adaptive control via consistent estimation for deterministic systems
- 1 June 1987
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 45 (6) , 2183-2202
- https://doi.org/10.1080/00207178708933875
Abstract
For multidimensional discrete-time deterministic systems the optimal adaptive control has been derived by use of a probabilistic method so that when the reference signal is an arbitrary bounded random sequence, the tracking error and the estimation error based on a projection algorithm go to zero with a near-exponential convergence rate. For this, the basic step is to prove the consistency of estimates when the condition number of the matrix consisting of regressors diverges to infinity; in other words, when the persistent excitation condition is not satisfied.Keywords
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