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

Volume

5

fYear

2002

fDate

5-7 Aug. 2002

Firstpage

2893

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;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2002. Proceedings of the 41st SICE Annual Conference

Print_ISBN

0-7803-7631-5

Type

conf

DOI

10.1109/SICE.2002.1195561

Filename

1195561