TY - GEN
T1 - Control of distributed parameter systems subject to convex constraints
T2 - 47th IEEE Conference on Decision and Control, CDC 2008
AU - Cifdaloz, Oguzhan
AU - Rodriguez, Armando
AU - Anderies, John
PY - 2008
Y1 - 2008
N2 - This paper addresses designing finite dimensional linear time invariant (LTI) controllers for infinite dimensional LTI plants subject to H ∞ mixed-sensitivity performance objectives and convex constraints. Specifically, we focus on designing control systems for two classes of systems which are generally described by hyperbolic partial differential equations: (1) Irrigation systems and (2) Hypersonic Vehicles with flexible dynamics. The distributed parameter plant is first approximated by a finite dimensional approximant. The Youla parameterization is then used to parameterize the set of all stabilizing LTI controllers and a weighted mixed-sensitivity H.∞ optimization is formulated. After transforming the infinite dimensional problem to a finite-dimensional optimization problem, convex is optimization is used to obtain the solution. Subgradient concepts are used to directly accommodate timedomain specifications. Illustrative examples for irrigation systems and hypersonic vehicles are provided.
AB - This paper addresses designing finite dimensional linear time invariant (LTI) controllers for infinite dimensional LTI plants subject to H ∞ mixed-sensitivity performance objectives and convex constraints. Specifically, we focus on designing control systems for two classes of systems which are generally described by hyperbolic partial differential equations: (1) Irrigation systems and (2) Hypersonic Vehicles with flexible dynamics. The distributed parameter plant is first approximated by a finite dimensional approximant. The Youla parameterization is then used to parameterize the set of all stabilizing LTI controllers and a weighted mixed-sensitivity H.∞ optimization is formulated. After transforming the infinite dimensional problem to a finite-dimensional optimization problem, convex is optimization is used to obtain the solution. Subgradient concepts are used to directly accommodate timedomain specifications. Illustrative examples for irrigation systems and hypersonic vehicles are provided.
UR - http://www.scopus.com/inward/record.url?scp=62949243364&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=62949243364&partnerID=8YFLogxK
U2 - 10.1109/CDC.2008.4739479
DO - 10.1109/CDC.2008.4739479
M3 - Conference contribution
AN - SCOPUS:62949243364
SN - 9781424431243
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 865
EP - 870
BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 9 December 2008 through 11 December 2008
ER -