Passivity indices and passivation of systems with application to systems with input/output delay

Author

Xia, M. ; Antsaklis, P.J. ; Gupta, V.

Author_Institution

Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA

fYear

2014

fDate

15-17 Dec. 2014

Firstpage

783

Lastpage

788

Abstract

A passivation method to passivate a given system by using an input-output transformation matrix is introduced. This matrix generalizes the commonly used methods of series, feedback and feedforward interconnections to passivate a system. Through an appropriate design of this matrix, positive passivity levels can be guaranteed for the system. Further, this transformation matrix allows the use of a non-passive system as a controller to guarantee the passivity and stability of a feedback configuration. We illustrate the results by considering systems with input/output delay.

Keywords

control system synthesis; delays; feedback; feedforward; interconnected systems; matrix algebra; stability; feedback interconnections; feedforward interconnections; input-output delay; input-output transformation matrix; nonpassive system; passivation method; passivity indices; positive passivity levels; series interconnections; stability; Approximation methods; Delays; Feedforward neural networks; Indexes; Linear systems; Passivation; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on

Conference_Location

Los Angeles, CA

Print_ISBN

978-1-4799-7746-8

Type

conf

DOI

10.1109/CDC.2014.7039477

Filename

7039477