Decentralized control of descriptor systems

Author

Chang, Timothy N. ; Davison, Edward J.

Author_Institution

Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA

Volume

46

Issue

10

fYear

2001

fDate

10/1/2001 12:00:00 AM

Firstpage

1589

Lastpage

1595

Abstract

The decentralized stabilization and decentralized servomechanism problem for descriptor systems is considered. A descriptor system is one characterized by the existence of algebraic constraints on the plant state variables. Such constraints may translate into undesirable impulsive behavior, a property not found in conventional, proper, state space systems. Conditions are therefore investigated to determine if a system can be made “impulse-free” by suitable feedback action, and in this case the conditions are expressed in terms of the so-called decentralized impulsive fixed modes of the system. The notions of transmission zeros and decentralized fixed modes are defined for the class of descriptor systems and it is shown that they play a central role in determining the solvability of the decentralized robust servomechanism problem for descriptor systems. Two applications, tuning regulator design and sequential synthesis, are also addressed

Keywords

control system synthesis; decentralised control; feedback; matrix algebra; servomechanisms; stability; tuning; algebraic constraints; decentralized control; decentralized impulsive fixed modes; decentralized servomechanism problem; decentralized stabilization; descriptor systems; feedback action; impulse-free system; sequential synthesis; solvability; transmission zeros; tuning regulator design; Automatic control; Control systems; Distributed control; Intelligent actuators; Machine intelligence; Paper making machines; Production; Rivers; Servomechanisms; System identification;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.956054

Filename

956054