TY - GEN
T1 - Stabilization of uncertain negative-imaginary systems using a Riccati equation approach
AU - Mabrok, Mohamed A.
AU - Kallapur, Abhijit G.
AU - Petersen, Ian R.
AU - Lanzon, Alexander
PY - 2012
Y1 - 2012
N2 - In this paper, a stabilization procedure that forces an uncertain system to be stable and satisfy the negative imaginary property is presented. The controller synthesis procedure is based on the negative imaginary lemma. As a result, the closed-loop system can be guaranteed to be robustly stable against any strict negative imaginary uncertainty, such as in the case of unmodeled spill-over dynamics in a lightly damped flexible structure. A numerical example is presented to illustrate the usefulness of the proposed results.
AB - In this paper, a stabilization procedure that forces an uncertain system to be stable and satisfy the negative imaginary property is presented. The controller synthesis procedure is based on the negative imaginary lemma. As a result, the closed-loop system can be guaranteed to be robustly stable against any strict negative imaginary uncertainty, such as in the case of unmodeled spill-over dynamics in a lightly damped flexible structure. A numerical example is presented to illustrate the usefulness of the proposed results.
KW - Negative imaginary systems
KW - Riccati equations
KW - lightly damped systems
KW - uncertain system
UR - http://www.scopus.com/inward/record.url?scp=84888329307&partnerID=8YFLogxK
U2 - 10.1109/ICIES.2012.6530879
DO - 10.1109/ICIES.2012.6530879
M3 - Conference contribution
SN - 9781467344388
T3 - Proceedings of the 2012 1st International Conference on Innovative Engineering Systems, ICIES 2012
SP - 255
EP - 259
BT - Proceedings of the 2012 1st International Conference on Innovative Engineering Systems, ICIES 2012
T2 - 2012 1st International Conference on Innovative Engineering Systems, ICIES 2012
Y2 - 7 December 2012 through 9 December 2012
ER -