Rational suboptimal continuous-time controller design

Author

Halpern, Mark E.

Author_Institution

Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia

Volume

45

Issue

9

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

1731

Lastpage

1734

Abstract

We obtain rational suboptimal continuous-time solutions to some optimal control problems specified via time domain performance criteria. These include L₁ and L_∞ norms and peak overshoot. The approach uses linear semi-infinite programming to compute weights for a given finite set of rational basis functions and makes the best possible use of the basis. The closed-loop transfer functions obtained satisfy appropriate interpolation constraints for internal stability and the formulation allows additional linear constraints to be incorporated

Keywords

closed loop systems; continuous time systems; control system synthesis; feedback; interpolation; linear programming; stability; suboptimal control; time-domain analysis; transfer functions; closed-loop systems; continuous-time systems; feedback; interpolation; linear programming; rational suboptimal control; semiinfinite programming; stability; time domain analysis; transfer functions; Control systems; Linear systems; Nonlinear control systems; Nonlinear systems; Observability; Output feedback; Polynomials; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.880636

Filename

880636