Title :
Optimal distributed controllers realizable over any arbitrary delay networks
Author :
Andalam, Satya Mohan Vamsi ; Elia, Nicola
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA
Abstract :
We study the notion of network realizability which is the property of a system to be expressed as sub-systems interacting over a given network. In this paper, we consider the problem of finding an optimal network-realizable controller that can stabilize a networked plant while minimizing the H2 norm of the closed-loop transfer function under the constraint that both plant and controller are linear networked systems interacting over a given directed delay network. We extend the notion of network realizability from [1], [2] to systems over a broader class of delay networks and analyze the structure of network realizable systems. Using these structural properties, we characterize the set of all stabilizing controllers that are realizable over the given delay network using the Youla parametrization. The H2 control problem is then cast as a convex optimization problem and its solution is shown to provide the optimal distributed controller over the given delay network. The results of this paper allow one to model, analyze and design systems over arbitrary directed delay networks.
Keywords :
H2 control; closed loop systems; control system synthesis; convex programming; delays; distributed control; interconnected systems; linear systems; minimisation; network theory (graphs); networked control systems; optimal control; stability; transfer functions; H2 control problem; H2 norm minimization; Youla parametrization; arbitrary directed delay networks; closed-loop transfer function; convex optimization problem; linear networked systems; network realizable systems; networked plant stabilize; optimal distributed controller; optimal network-realizable controller; structural properties; Communication networks; Delays; Indexes; Interconnected systems; Lead; Transfer functions; Vectors; Distributed control; Networked control systems; Realization theory; optimal H2 control;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6761119