The use of a new optimization criterion for discrete-time feedback controller design

Author

Polyak, B.T. ; Halpern, M.E.

Author_Institution

Inst. of Control Sci., Acad. of Sci., Moscow, Russia

Volume

1

fYear

1999

fDate

1999

Firstpage

894

Abstract

We introduce a class of linear discrete-time systems called “super stable”. For the SISO case this means that the absolute value of the constant term of the characteristic polynomial is greater than the sum of absolute values of all other coefficients, while super stable MIMO systems have a state matrix with l₁ norm less than one. Such systems have many special features. Within the framework of these systems we can, using linear programming, design fixed-order controllers. We also address robustness issues, including robust performance for transfer functions with coprime factor uncertainty bounded in l₁ norm

Keywords

MIMO systems; control system synthesis; discrete time systems; feedback; linear programming; matrix algebra; polynomials; robust control; transfer functions; SISO systems; characteristic polynomial; coprime factor uncertainty; discrete-time feedback controller design; fixed-order controllers; l₁ norm; linear discrete-time systems; optimization criterion; robust performance; robustness; super stable systems; Adaptive control; Control systems; Design optimization; Feedback control; Linear programming; MIMO; Performance analysis; Polynomials; Robust control; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.832906

Filename

832906