Design of L2 stable fixed-order decentralised controllers in a network of sampled-data systems with time-delays

Abstract

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A scalable method for the analysis of networked linear systems with decentralized sampled‐data control

“…As far as we know, results exist only for the case of LTI systems [15][16][17][18] and for linear time-delay systems. 19 The second theoretical challenge lies in the dimensionality of the problem. A fundamental problem in the analysis of decentralized controllers for networked systems consists of handling the large dimension, induced by the interconnection of many subsystems and controllers.…”

“…Results addressing both of these theoretical challenges in the context of sampled-data networked systems are rare. 19 In this article, this particular problem is addressed for networks of (quasi-) identical linear subsystems. In other words, we study the effect of asynchrony in sampling between local decentralized controllers on the Lyapunov stability of the overall networked system.…”