Scalable stability conditions for heterogeneous networks via integral quadratic constraints

Author

Sei Zhen Khong ; Rantzer, Anders

Author_Institution

Dept. of Autom. Control, Lund Univ., Lund, Sweden

fYear

2014

fDate

24-27 June 2014

Firstpage

2863

Lastpage

2867

Abstract

Decentralised and scalable conditions for robust stability of networks of heterogenous linear time-invariant (LTI) systems are derived based on integral quadratic constraints. These generalise previous works in the literature with an increased flexibility in the choice of multipliers employed. The results allow for arbitrary interconnection matrices and accommodate multi-input-multi-output systems. Similar conditions are also developed for nonlinear systems interconnected with LTI systems following a bipartite structure. In particular, the stability certificates only involve each individual LTI agent and its nearest nonlinear neighbours.

Keywords

MIMO systems; interconnected systems; linear systems; matrix algebra; networked control systems; nonlinear systems; robust control; LTI agent; LTI systems; arbitrary interconnection matrices; bipartite structure; decentralised conditions; heterogeneous linear time-invariant systems; heterogeneous networks; integral quadratic constraints; multiinput-multioutput systems; multipliers; nearest nonlinear neighbours; nonlinear systems; robust network stability; scalable stability conditions; Artificial neural networks; Matrix decomposition; Nonlinear systems; Robust stability; Scalability; Stability criteria; Heterogenous networks; distributed stability conditions; integral quadratic constraints; scalability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2014 European

Conference_Location

Strasbourg

Print_ISBN

978-3-9524269-1-3

Type

conf

DOI

10.1109/ECC.2014.6862381

Filename

6862381