Stabilization on zero-error manifolds and the nonlinear servomechanism problem
- 1 July 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 37 (7) , 1009-1013
- https://doi.org/10.1109/9.148359
Abstract
The extended-linearization methodology is applied to the nonlinear servomechanism problem for the case of time-varying exogenous signals. This yields a novel approach to establishing exponential manifold, known as the zero-error manifold. Advantages of the approach are that the underlying theory is relatively simple, and that a requirement of small derivatives for the exogenous signals is used rather than a requirement that the exogenous signals remain small. Thus certain cases of unbounded exogenous signals can be treated. A transmission zero condition for existence of the requisite zero-error manifold is given.Keywords
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