We consider a class of nonlinear systems which are absorbable in a linear differential inclusion (LDI), namely whose trajectories are a subset of an LDI. We show than if such an LDI is stabilizable via a linear compensator then a parametrization of all non-linear stabilizing compensators can be derived. The proposed parametrization is simple and the result is constructive. A meaningful application of the parametrization to the switching compensator problem is proposed. ©2010 IEEE.
Parametrization of all stabilizing compensator for absorbable nonlinear systems
BLANCHINI, Franco;CASAGRANDE, Daniele;MIANI, Stefano
2010-01-01
Abstract
We consider a class of nonlinear systems which are absorbable in a linear differential inclusion (LDI), namely whose trajectories are a subset of an LDI. We show than if such an LDI is stabilizable via a linear compensator then a parametrization of all non-linear stabilizing compensators can be derived. The proposed parametrization is simple and the result is constructive. A meaningful application of the parametrization to the switching compensator problem is proposed. ©2010 IEEE.File in questo prodotto:
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