TY - GEN
T1 - H∞ sampled data control of systems with time-delays
AU - Suplin, V.
AU - Fridman, E.
AU - Shaked, U.
PY - 2007
Y1 - 2007
N2 - Sampled-data H∞ control of linear systems with state, control and measurement constant delays is considered. The sampling of the controlled input and of the measured output is not assumed to be uniform. The system is modelled as a continuous-time one, where the controlled input and the measurement output have piecewise-continuous delays. The input-output approach to stability and L2-gain analysis is applied to the resulting system. The discretized Lyapunov functional method is extended to the case of multiple delays, where the Lyapunov functional is complete in one of the delays (in the state) and is simple in the other delays (in the input and in the output), which are unknown, time-varying with known upper-bounds. Solutions to the state-feedback and the output-feedback H∞ control problems are derived in terms of Linear Matrix Inequalities (LMIs).
AB - Sampled-data H∞ control of linear systems with state, control and measurement constant delays is considered. The sampling of the controlled input and of the measured output is not assumed to be uniform. The system is modelled as a continuous-time one, where the controlled input and the measurement output have piecewise-continuous delays. The input-output approach to stability and L2-gain analysis is applied to the resulting system. The discretized Lyapunov functional method is extended to the case of multiple delays, where the Lyapunov functional is complete in one of the delays (in the state) and is simple in the other delays (in the input and in the output), which are unknown, time-varying with known upper-bounds. Solutions to the state-feedback and the output-feedback H∞ control problems are derived in terms of Linear Matrix Inequalities (LMIs).
KW - Discretized Lyapunov functional
KW - LMI
KW - Sampled data control
KW - Time-delay
UR - http://www.scopus.com/inward/record.url?scp=62749107698&partnerID=8YFLogxK
U2 - 10.1109/CDC.2007.4434250
DO - 10.1109/CDC.2007.4434250
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AN - SCOPUS:62749107698
SN - 1424414989
SN - 9781424414987
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 426
EP - 431
BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 46th IEEE Conference on Decision and Control 2007, CDC
Y2 - 12 December 2007 through 14 December 2007
ER -