Nonsmooth adaptive stabilization of cascade systems with nonlinear parameterization via partial-state feedback

Author

Lin, Wei ; Pongvuthithum, Radom

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Case Western Reserve Univ., Cleveland, OH, USA

Volume

48

Issue

10

fYear

2003

Firstpage

1809

Lastpage

1816

Abstract

We prove that under an appropriate input-to-state stability condition, it is possible to achieve global adaptive stabilization for a class of nonlinearly parameterized cascade systems, using a C⁰ partial-state adaptive regulator. This result complements the earlier work on adaptive control of inherently nonlinear uncertain systems with uncontrollable unstable linearization, which cannot be dealt with by any smooth adaptive control scheme.

Keywords

adaptive control; cascade systems; nonlinear control systems; stability; state feedback; uncertain systems; C⁰ partial-state adaptive regulator; cascade systems; global adaptive stabilization; inherently nonlinear uncertain systems; input-to-state stability condition; nonlinear parameterization; nonlinearly parameterized cascade systems; nonsmooth adaptive stabilization; partial-state feedback; uncontrollable unstable linearization; Adaptive control; Adaptive systems; Control systems; Feedback; Nonlinear control systems; Nonlinear systems; Programmable control; Regulators; Stability; Uncertain systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2003.817932

Filename

1235389