TY - GEN
T1 - Estimator-Based Output-Feedback Stabilization of Linear Multi-Delay Systems using SOS
AU - Wu, Shuangshuang
AU - Peet, Matthew M.
AU - Hua, Changchun
N1 - Funding Information:
This work was supported by the National Science Foundation under grants No. 1538374 and 1739990, National Natural Science Foundation of China No. 61825304, 61751309, 61673335 and China Scholarship Council No. 201808130194.
Publisher Copyright:
© 2019 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - In this paper, we investigate the estimator-based output feedback control problem of multi-delay systems. This work is an extension of recently developed operator-value LMI framework for infinite-dimensional time-delay systems. Based on the optimal convex state feedback controller and generalized Luenberger observer synthesis conditions we already have, the estimator-based output feedback controller is designed to contain the estimates of both the present state and history of the state. An output feedback controller synthesis condition is proposed using SOS method, which is expressed in a set of LMI/SDP constraints. The simulation examples are displayed to demonstrate the effectiveness and advantages of the proposed results.
AB - In this paper, we investigate the estimator-based output feedback control problem of multi-delay systems. This work is an extension of recently developed operator-value LMI framework for infinite-dimensional time-delay systems. Based on the optimal convex state feedback controller and generalized Luenberger observer synthesis conditions we already have, the estimator-based output feedback controller is designed to contain the estimates of both the present state and history of the state. An output feedback controller synthesis condition is proposed using SOS method, which is expressed in a set of LMI/SDP constraints. The simulation examples are displayed to demonstrate the effectiveness and advantages of the proposed results.
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U2 - 10.1109/CDC40024.2019.9029923
DO - 10.1109/CDC40024.2019.9029923
M3 - Conference contribution
AN - SCOPUS:85082506043
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 983
EP - 988
BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 58th IEEE Conference on Decision and Control, CDC 2019
Y2 - 11 December 2019 through 13 December 2019
ER -