Cheap control performance of a class of nonright-invertible nonlinear systems

Author

Braslavsky, Julio H. ; Middleton, Rick H. ; Freudenberg, Jim S.

Author_Institution

Dept. of Sci. & Technol., Univ. Nacional de Quilmes, Bernal, Argentina

Volume

47

Issue

8

fYear

2002

fDate

8/1/2002 12:00:00 AM

Firstpage

1314

Lastpage

1319

Abstract

For strict-feedback nonlinear systems, this paper shows that it is impossible to reduce to zero the optimal cost in the regulation of more states than the number of control inputs in the system, even using an unrestricted control effort. By constructing a near-optimal cheap control law, we characterize the infimum value of the optimal regulation cost as the optimal value of a reduced-order regulator problem. We illustrate our results with an example on the optimal control of a magnetic suspension system.

Keywords

asymptotic stability; control system analysis; feedback; magnetic levitation; nonlinear systems; optimal control; reduced order systems; asymptotic stability; cheap control; magnetic suspension system; near-optimal control; nonlinear systems; performance limitations; reduced-order regulator; strict-feedback systems; Australia; Control systems; Cost function; Feedback; Linear systems; Magnetic levitation; Nonlinear control systems; Nonlinear systems; Optimal control; Regulators;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2002.800762

Filename

1024343