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A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models

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2 Author(s)
D. Nesic ; Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia ; A. R. Teel

A unified framework for design of stabilizing controllers for sampled-data differential inclusions via their approximate discrete-time models is presented. Both fixed and fast sampling are considered. In each case, sufficient conditions are presented which guarantee that the controller that stabilizes a family of approximate discrete-time plant models also stabilizes the exact discrete-time plant model for sufficiently small integration and/or sampling periods. Previous results in the literature are extended to cover: 1) continuous-time plants modeled as differential inclusions; 2) general approximate discrete-time plant models; 3) dynamical discontinuous controllers modeled as difference inclusions; and 4) stability with respect to closed arbitrary (not necessarily compact) sets.

Published in:

IEEE Transactions on Automatic Control  (Volume:49 ,  Issue: 7 )