On the necessity of 'block-invariance' for the convergence of adaptive pole-placement algorithm with persistently exciting input
- 1 January 1988
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 33 (8) , 775-780
- https://doi.org/10.1109/9.1298
Abstract
Global convergence of a number of discrete-time adaptive control algorithms with persistently exciting inputs has been established in the literature. A key element of the convergence proof is the block-invariance feature of the algorithm. While the parameters are estimated at every sample, the controller parameters remain invariant throughout a block of samples and are updated only at the end of each such block. The necessity of this block-invariance feature for guaranteeing convergence is established here by a counterexample.Keywords
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