TY - GEN
T1 - Hierarchical decentralized stabilization for networked dynamical systems by LQR selective pole shift
AU - Nguyen, Dinh Hoa
AU - Hara, Shinji
N1 - Funding Information:
This work was supported in part by the Ministry of Education, Culture, Sports, Science and Technology in Japan through Grant-in-Aid for Scientific Research (A) No. 21246067.
Publisher Copyright:
© IFAC.
PY - 2014
Y1 - 2014
N2 - This paper proposes a systematic method to design hierarchical, decentralized, stabilizing controllers for homogeneous hierarchical dynamical networks. Based on LQR approach with a properly chosen performance index including global and local objectives with control input penalty, an obtained optimal LQR feedback gain gives the closed-loop system a prescribed desirable hierarchical structure. In addition, the undesirable eigenvalues of the given homogeneous network can be selectively shifted by further selecting the weighting matrices based on the left eigenvectors associated with those eigenvalues. Finally, the proposed method is summarized into a systematic design procedure with an illustrative numerical example to show its effectiveness.
AB - This paper proposes a systematic method to design hierarchical, decentralized, stabilizing controllers for homogeneous hierarchical dynamical networks. Based on LQR approach with a properly chosen performance index including global and local objectives with control input penalty, an obtained optimal LQR feedback gain gives the closed-loop system a prescribed desirable hierarchical structure. In addition, the undesirable eigenvalues of the given homogeneous network can be selectively shifted by further selecting the weighting matrices based on the left eigenvectors associated with those eigenvalues. Finally, the proposed method is summarized into a systematic design procedure with an illustrative numerical example to show its effectiveness.
UR - http://www.scopus.com/inward/record.url?scp=84927943950&partnerID=8YFLogxK
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U2 - 10.3182/20140824-6-za-1003.00925
DO - 10.3182/20140824-6-za-1003.00925
M3 - Conference contribution
AN - SCOPUS:84927943950
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 5778
EP - 5783
BT - 19th IFAC World Congress IFAC 2014, Proceedings
A2 - Boje, Edward
A2 - Xia, Xiaohua
PB - IFAC Secretariat
T2 - 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Y2 - 24 August 2014 through 29 August 2014
ER -