Feedback linearization via state transformation using estimated states

Citation
M. Etchechoury et al., Feedback linearization via state transformation using estimated states, INT J SYST, 32(1), 2001, pp. 1-7
Citations number
18
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
ISSN journal
00207721 → ACNP
Volume
32
Issue
1
Year of publication
2001
Pages
1 - 7
Database
ISI
SICI code
0020-7721(200101)32:1<1:FLVSTU>2.0.ZU;2-S
Abstract
This paper deals with the exact feedback linearization of nonlinear plants using estimated states. Under appropriate hypotheses, exact linearization c an be achieved through transformation of states and feedback. We assume tha t the states cannot be measured so that a nonlinear observer, with exponent ial convergence, is included in the loop. We establish sufficient condition s to guarantee that the overall system trajectories asymptotically converge to those obtained with feedback linearization utilizing the true states. W e apply our results to control an electrical drive using a permanent-magnet synchronous motor without mechanical and optical sensors. The behaviour of our control scheme is illustrated by simulations.