Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 53, Issue 10, Pages 2324-2334Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2008.2006821
Keywords
Feedback linearization; high-gain observers; output feedback control; performance recovery
Funding
- National Science Foundation [ECS-0400470, ECCS-0725165]
- Tillampad fysik och Elektronik, Umea Universitet
Ask authors/readers for more resources
We consider a tracking problem for a partially feedback linearizable nonlinear system with stable zero dynamics. The system is uncertain and only the output is measured. We use an extended high-gain observer of dimension n + 1, where n is the relative degree. The observer estimates n derivatives of the tracking error, of which the first (n - 1) derivatives are states of the plant in the normal form and the nth derivative estimates the perturbation due to model uncertainty and disturbance. The controller cancels the perturbation estimate and implements a feedback control law, designed for the nominal linear model that would have been obtained by feedback linearization had all the nonlinearities been known and the signals been available. We prove that the closed-loop system under the observer-based controller recovers the performance of the nominal linear model as the observer gain becomes sufficiently high. Moreover, we prove that the controller has an integral action property in that it ensures regulation of the tracking error to zero in the presence of constant nonvanishing perturbation.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available