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Performance control for interconnection of identical systems: Application to PLL network design
Author(s) -
Korniienko Anton,
Scorletti Gerard,
Colinet Eric,
Blanco Eric
Publication year - 2014
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3285
Subject(s) - interconnection , stability (learning theory) , control theory (sociology) , control (management) , computer science , design methods , regular polygon , phase locked loop , stability conditions , optimization problem , mathematical optimization , control engineering , mathematics , engineering , discrete time and continuous time , computer network , telecommunications , mechanical engineering , statistics , geometry , artificial intelligence , machine learning , jitter
Summary In this paper, the problem of the control law design for interconnected identical systems ensuring the global stability and the global performance properties is under consideration. Inspired by the decentralized control law design methodology using the dissipativity input–output approach, the problem is reduced to the problem of satisfying two conditions: (i) the condition on the interconnection and (ii) the condition on the local subsystem dynamics. Both problems are efficiently solved applying a (quasi‐) convex LMI optimization and standard H ∞ synthesis. The proposed design methodology is applied to the control law design of a synchronous PLL network. Copyright © 2014 John Wiley & Sons, Ltd.