TY - GEN
T1 - Robust stability of periodic systems with memory
T2 - 7th IFAC Symposium on Robust Control Design, ROCOND'12
AU - Trégouët, Jean François
AU - Ebihara, Yoshio
AU - Arzelier, Denis
AU - Peaucelle, Dimitri
AU - Pittet, Christelle
AU - Falcoz, Alexandre
N1 - Funding Information:
This work is supported by CNES and EADS-Astrium.
PY - 2012
Y1 - 2012
N2 - In this paper, the general formulation of periodically time-varying state-feedback controllers with memory is considered for the first time. New analysis and synthesis conditions for robust stability are proposed. The exibility of these new results allows the user to freely add degrees-of-freedom to the control law which appears to effectively reduce the conservatism of the synthesis condition and to increase the stability domain of the closed-loop system in the presence of uncertainties. Furthermore, it is shown that for a particular structure of controllers a more efficient version of the design theorem can be derived by enriching the matrix of slack-variables.
AB - In this paper, the general formulation of periodically time-varying state-feedback controllers with memory is considered for the first time. New analysis and synthesis conditions for robust stability are proposed. The exibility of these new results allows the user to freely add degrees-of-freedom to the control law which appears to effectively reduce the conservatism of the synthesis condition and to increase the stability domain of the closed-loop system in the presence of uncertainties. Furthermore, it is shown that for a particular structure of controllers a more efficient version of the design theorem can be derived by enriching the matrix of slack-variables.
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U2 - 10.3182/20120620-3-DK-2025.00063
DO - 10.3182/20120620-3-DK-2025.00063
M3 - Conference contribution
AN - SCOPUS:84866116680
SN - 9783902823038
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 684
EP - 689
BT - ROCOND'12 - 7th IFAC Symposium on Robust Control Design
PB - IFAC Secretariat
Y2 - 20 June 2012 through 22 June 2012
ER -