TY - GEN
T1 - Design of distributed controllers realizable over arbitrary directed networks
AU - Mohan Vamsi, Andalam Satya
AU - Elia, Nicola
PY - 2010
Y1 - 2010
N2 - We consider the problem of designing stabilizing distributed output-feedback controllers that achieve H2 and H∞ performance objectives for a group of sub-systems dynamically interconnected via an arbitrary directed communication network. For a particular class of discrete-time linear timeinvariant interconnected systems that are characterized by a structural property of their state-space matrices, we design stabilizing distributed controllers which can use the available network along with the sub-systems of the interconnected system. This is achieved by means of a parameterization for the output-feedback linear controllers that linearizes the closed-loop H2 and H∞ norm conditions and provide equivalent linear matrix inequalities (LMIs). Using these LMIs, we formulate the minimization of H2 and H∞ norms as semi-definite programs (SDPs) that can be efficiently solved using well-established techniques and tools. The solutions of these SDPs allow us to synthesize the corresponding controllers that are realizable over the given network. Even though we provide only sufficiency conditions for the design of stabilizing distributed controllers, simulations show that the synthesized controllers we obtain provide good performance in spite of being suboptimal compared to the centralized controller. In essence, we gain the advantage of designing realizable distributed controllers at the expense of slight performance degradation compared to the centralized solutions.
AB - We consider the problem of designing stabilizing distributed output-feedback controllers that achieve H2 and H∞ performance objectives for a group of sub-systems dynamically interconnected via an arbitrary directed communication network. For a particular class of discrete-time linear timeinvariant interconnected systems that are characterized by a structural property of their state-space matrices, we design stabilizing distributed controllers which can use the available network along with the sub-systems of the interconnected system. This is achieved by means of a parameterization for the output-feedback linear controllers that linearizes the closed-loop H2 and H∞ norm conditions and provide equivalent linear matrix inequalities (LMIs). Using these LMIs, we formulate the minimization of H2 and H∞ norms as semi-definite programs (SDPs) that can be efficiently solved using well-established techniques and tools. The solutions of these SDPs allow us to synthesize the corresponding controllers that are realizable over the given network. Even though we provide only sufficiency conditions for the design of stabilizing distributed controllers, simulations show that the synthesized controllers we obtain provide good performance in spite of being suboptimal compared to the centralized controller. In essence, we gain the advantage of designing realizable distributed controllers at the expense of slight performance degradation compared to the centralized solutions.
KW - Distributed control
KW - Linear matrix inequalities
UR - http://www.scopus.com/inward/record.url?scp=79953131308&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79953131308&partnerID=8YFLogxK
U2 - 10.1109/CDC.2010.5718190
DO - 10.1109/CDC.2010.5718190
M3 - Conference contribution
AN - SCOPUS:79953131308
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4795
EP - 4800
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -