TY - GEN
T1 - On vinnicombe metrics and the stability robustness of linear time-varying systems
AU - Griggs, Wynita M.
AU - Lanzon, Alexander
AU - Anderson, Brian D.O.
PY - 2004
Y1 - 2004
N2 - We present two novel approaches for obtaining stability robustness information about linear time-invariant systems with norm-bounded time-varying output multiplicative perturbations using Vinnicombe metrics. First, a time-varying Vinnicombe metric approximation between a nominal linear time-invariant system and the perturbed linear time-varying system is developed, and we show that a calculable tight upper bound may be placed on the approximation for a subclass of small, periodic output multiplicative errors. Second, we show that a worst-case time-invariant Vinnicombe metric may be used to obtain stability robustness information about the perturbed time-varying system.
AB - We present two novel approaches for obtaining stability robustness information about linear time-invariant systems with norm-bounded time-varying output multiplicative perturbations using Vinnicombe metrics. First, a time-varying Vinnicombe metric approximation between a nominal linear time-invariant system and the perturbed linear time-varying system is developed, and we show that a calculable tight upper bound may be placed on the approximation for a subclass of small, periodic output multiplicative errors. Second, we show that a worst-case time-invariant Vinnicombe metric may be used to obtain stability robustness information about the perturbed time-varying system.
UR - http://www.scopus.com/inward/record.url?scp=16244374967&partnerID=8YFLogxK
M3 - Conference contribution
SN - 0780388739
T3 - 2004 5th Asian Control Conference
SP - 1459
EP - 1467
BT - 2004 5th Asian Control Conference
T2 - 2004 5th Asian Control Conference
Y2 - 20 July 2004 through 23 July 2004
ER -