TY - GEN

T1 - Optimal realizable networked controllers for networked systems

AU - Mohan Vamsi, Andalam Satya

AU - Elia, Nicola

PY - 2011

Y1 - 2011

N2 - In this paper, we provide the optimal solution for the H2 control problem in the case when both plant and controller are interconnected systems interacting over an arbitrary directed causal network. We first analyze the structure of network realizable systems and then characterize the set of all stabilizing controllers that are realizable over the given 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 network. The results of this paper allow one to apply many classical results and approaches of multi-variable robust control to networked systems.

AB - In this paper, we provide the optimal solution for the H2 control problem in the case when both plant and controller are interconnected systems interacting over an arbitrary directed causal network. We first analyze the structure of network realizable systems and then characterize the set of all stabilizing controllers that are realizable over the given 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 network. The results of this paper allow one to apply many classical results and approaches of multi-variable robust control to networked systems.

KW - Distributed control

KW - Network realizability theory

KW - Networked control systems

KW - Optimal H control

UR - http://www.scopus.com/inward/record.url?scp=80053167285&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053167285&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:80053167285

SN - 9781457700804

T3 - Proceedings of the American Control Conference

SP - 336

EP - 341

BT - Proceedings of the 2011 American Control Conference, ACC 2011

T2 - 2011 American Control Conference, ACC 2011

Y2 - 29 June 2011 through 1 July 2011

ER -