TY - GEN
T1 - Retarded linear systems with stochastic uncertainties - Robust polytopic H∞ static output-feedback control
AU - Eli, Gershon
AU - Uri, Shaked
AU - Berman, Nadav
PY - 2010/12/1
Y1 - 2010/12/1
N2 - A linear parameter varying approach for designing a constant output feedback controller for a linear time-invariant retarded system with stochastic multiplicative Wiener-type noise, that achieves a minimum bound on the H ∞ performance level is introduced. The stochastic uncertainties appear in the dynamic matrices, which correspond to the delayed and non-delayed states of the system, and in the measurement matrix of the system. The solution of the H∞ static output-feedback control problem is solved, for the stationary case, via the input-output approach where the system is replaced by a non-retarded system that contain, instead, deterministic norm-bounded uncertainties. In this problem, a cost function is defined which is the expected value of the standard H∞ performance cost with respect to the stochastic parameters. We extend the results achieved for the nominal case, to the uncertain case where the system matrices lie within a given polytop.
AB - A linear parameter varying approach for designing a constant output feedback controller for a linear time-invariant retarded system with stochastic multiplicative Wiener-type noise, that achieves a minimum bound on the H ∞ performance level is introduced. The stochastic uncertainties appear in the dynamic matrices, which correspond to the delayed and non-delayed states of the system, and in the measurement matrix of the system. The solution of the H∞ static output-feedback control problem is solved, for the stationary case, via the input-output approach where the system is replaced by a non-retarded system that contain, instead, deterministic norm-bounded uncertainties. In this problem, a cost function is defined which is the expected value of the standard H∞ performance cost with respect to the stochastic parameters. We extend the results achieved for the nominal case, to the uncertain case where the system matrices lie within a given polytop.
UR - http://www.scopus.com/inward/record.url?scp=78651248764&partnerID=8YFLogxK
U2 - 10.1109/EEEI.2010.5661959
DO - 10.1109/EEEI.2010.5661959
M3 - Conference contribution
AN - SCOPUS:78651248764
SN - 9781424486809
T3 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
SP - 202
EP - 206
BT - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
T2 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
Y2 - 17 November 2010 through 20 November 2010
ER -