Title :
Convergence properties of the membership set in the presence of disturbance and parameter uncertainty
Author :
Kitamura, Wataru ; Fujisaki, Yasumasa
Author_Institution :
Graduate Sch. of Sci. & Technol., Kobe Univ., Japan
Abstract :
The size of the membership set is investigated in the presence of bounded disturbance and l2 bounded parameter uncertainty. A tight upper bound of the diameter of the membership set is derived, which indicates that the diameter does not converge to zero in general. Another upper bound of the diameter is also derived in a stochastic setting, where the disturbance and the parameter uncertainty are assumed to take a value near the worst ones with nonzero probability. The bound clarifies that the diameter converges to zero with probability one as the number of samples tends to infinity.
Keywords :
convergence; discrete time systems; parameter estimation; set theory; stochastic processes; uncertain systems; SISO discrete time system; bounded disturbance; convergence properties; diameter upper bound; l2 bounded parameter uncertainty; membership set; robustness analysis; stochastic setting; tight upper bound; Additives; Convergence; Discrete time systems; H infinity control; Marine vehicles; Robustness; Stochastic processes; Uncertain systems; Uncertainty; Upper bound;
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
DOI :
10.1109/SICE.2002.1195561
