Internal stability of interconnected systems

Author

Wang, Qing-Guo ; Lee, Tong-Heng ; He, Jian-Bo

Author_Institution

Dept. of Electr. Eng., Nat. Univ. of Singapore, Singapore

Volume

44

Issue

3

fYear

1999

fDate

3/1/1999 12:00:00 AM

Firstpage

593

Lastpage

596

Abstract

In this paper, internal stability of interconnected systems is considered. It is shown that a system consisting only of single-input/single-output (SISO) plants is internally stable if and only if ΔΠ_ip_i(s) has all its roots in the open left half of the complex plane, where p_i(s) are the denominators of the plant transfer functions and a is the system determinant same as in the Mason´s formula (1956). This theorem is also extended to the case where the system may have multi-input and/or multi-output plants. Several typical control schemes are employed as illustrative examples to demonstrate the simplicity and usefulness of these results in internal stability analysis and stabilization synthesis

Keywords

control system analysis; control system synthesis; interconnected systems; stability; MIMO plants; SISO plants; interconnected systems; internal stability analysis; internally stable system; multi-input plants; multi-output plants; plant transfer functions; stabilization synthesis; system determinant; Control system synthesis; Control systems; Feedback; Helium; Interconnected systems; Signal synthesis; Stability analysis; System analysis and design; System testing; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.751358

Filename

751358