Robust stabilization of nonlinearly perturbed large-scale systems by decentralized observer-controller compensators

• Published in: Automatica (Oxford) Vol. 26; no. 6; pp. 1035 - 1041
• Main Authors: Chen, Bor-Sen, Wang, Wen-June
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.1990
• Subjects: decentralized control; Large-scale system; M-matrix; observer controller compensator; robust stability; M-matrix; Large-scale system; decentralized control; robust stability; observer controller compensator
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/0005-1098(90)90087-X

This paper is concerned with the problem of robust stabilization for nonlinearly perturbed large-scale systems via decentralized observer-controller compensators. The large-scale system is composed of several interconnected perturbed subsystems, each containing a nonlinearly perturbed plant and an observer-controller compensator. Here a robust stability criterion for the perturbed large-scale system is introduced, and a simple but useful inequality is derived for synthesizing the decentralized observer-controller compensators. The main features of this paper are as follows: (i) the nominal plant of each subsystem is not constrained to be stable and/or minimum phase; (ii) the perturbations of the plants and/or interconnections are considered; and (iii) a two degree observer-controller compensating scheme is employed to treat the perturbed large-scale systems.