TY - GEN
T1 - Distributed mixed L2/h∞ control synthesis for spatially invariant systems
AU - Dong, Jin
AU - Djouadi, Seddik M.
N1 - Publisher Copyright:
© 2017 American Automatic Control Council (AACC).
PY - 2017/6/29
Y1 - 2017/6/29
N2 - It is well-known that h∞ synthesis guarantees robust stability in the face of worst-case disturbance while L2 synthesis is more adapted to deal with transient performance. We consider a mixed design framework that can integrate optimal transient performance and robustness for discrete spatial invariant systems. The L2-norm corresponds to the spatial coordinate while the h∞ corresponds to the time frequency. It is shown that the problem reduces to the sum of an infinite number of optimal h∞ problem involving Youla parameters. These problems are solved by infinite number of Hankel operators. An illustrative example is provided.
AB - It is well-known that h∞ synthesis guarantees robust stability in the face of worst-case disturbance while L2 synthesis is more adapted to deal with transient performance. We consider a mixed design framework that can integrate optimal transient performance and robustness for discrete spatial invariant systems. The L2-norm corresponds to the spatial coordinate while the h∞ corresponds to the time frequency. It is shown that the problem reduces to the sum of an infinite number of optimal h∞ problem involving Youla parameters. These problems are solved by infinite number of Hankel operators. An illustrative example is provided.
UR - http://www.scopus.com/inward/record.url?scp=85027022135&partnerID=8YFLogxK
U2 - 10.23919/ACC.2017.7963109
DO - 10.23919/ACC.2017.7963109
M3 - Conference contribution
AN - SCOPUS:85027022135
T3 - Proceedings of the American Control Conference
SP - 1157
EP - 1162
BT - 2017 American Control Conference, ACC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 American Control Conference, ACC 2017
Y2 - 24 May 2017 through 26 May 2017
ER -