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Stability and convergence properties of model-reference adaptive control systems

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1 Author(s)
Bongiorno, Joseph J. ; Polytechnic Institute of Brooklyn, Brooklyn, NY, USA

An approach to adaptive control system design which does not involve a direct measurement or identification of the variable process parameters is investigated. Convergence-time relationships and sufficient conditions for system stability are developed when the process is characterized by a variable gain or variable time-constant, and fixed dynamics of any order. The adaptive capability is achieved by employing a model as a reference element and by means of appropriate adaptive circuitry. The adaptive circuitry is simple, easily instrumented, and does not require successive differentiations; the primary function of the adaptive circuitry is one of integration.

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Automatic Control, IRE Transactions on  (Volume:7 ,  Issue: 3 )