Constructive Lyapunov stabilization of nonlinear cascade systems

Author

Jankovic, Mrdjan ; Sepulchre, Rodolphe ; Kokotovic, Petar V.

Author_Institution

Ford Sci. Res. Labs., Dearborn, MI, USA

Volume

41

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

1723

Lastpage

1735

Abstract

We present a global stabilization procedure for nonlinear cascade and feedforward systems which extends the existing stabilization results. Our main tool is the construction of a Lyapunov function for a class of (globally stable) uncontrolled cascade systems. This construction serves as a basis for a recursive controller design for cascade and feedforward systems. We give conditions for continuous differentiability of the Lyapunov function and the resulting control law and propose methods for their exact and approximate computation

Keywords

Lyapunov methods; asymptotic stability; cascade systems; control system synthesis; differentiation; feedforward; nonlinear systems; robust control; Lyapunov function; asymptotic stability; continuous differentiability; feedforward systems; global stabilization; nonlinear cascade systems; recursive controller; Asymptotic stability; Control systems; Design methodology; Feedforward systems; Interconnected systems; Laboratories; Linearity; Lyapunov method; Military computing; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.545712

Filename

545712