Abstract

The problem of adaptive control of linear systems subjected to both small parameter and bounded additive deterministic disturbances is considered. The controlled systems are not identifiable in view of poor a priori information about disturbances. It is supposed that for system with known parameters a certain regulator is given that ensures a desired non-adaptive asymptotic control performance. It is proven that this nonadaptive parameter-dependent control performance is achievable under adaptive control in spite of non-identifiability of the system. The solution is based on control-oriented estimation algorithm and uses set estimates of unknown parameters.

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