Solutions to the combined sensitivity and complementary sensitivity problem in control systems

Author

Lim, Andrew E B ; Yan, Wei-Yong ; Teo, K.L.

Author_Institution

Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia

Volume

41

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

1836

Lastpage

1840

Abstract

In a recent paper, a set of necessary and sufficient conditions for the existence of solutions to the combined sensitivity and complementary sensitivity (CSCS) problem in control systems was given. However, a practical method for constructing solutions to this problem was not presented. The computation procedure that was proposed involves constructing a sequence of rational functions to approximate an irrational function and may result in complicated high-order controllers. In this paper, we consider the synthesis aspect of the CSCS problem and derive an algorithm for constructing controllers that solve our CSCS problem in a simple manner. Moreover, an error in the closed-form solution of the Nevanlinna-Pick interpolation problem is revealed

Keywords

closed loop systems; compensation; control system synthesis; feedback; function approximation; interpolation; linear systems; sensitivity analysis; transfer functions; Nevanlinna-Pick interpolation; SISO systems; compensation; complementary sensitivity; control systems; feedback systems; function approximation; linear time invariant systems; necessary condition; rational functions; sufficient conditions; transfer function; Additive noise; Closed-form solution; Control system synthesis; Control systems; Interpolation; Output feedback; Sensor systems; Sufficient conditions; Systems engineering and theory; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.545753

Filename

545753