13250

Автор(ов):

3

Параметры публикации

Доклад

Название:

Anisotropic Norm Bounded Real Lemma for Linear Discrete Time Varying Systems

Наименование конференции:

• 18th IFAC World Congress (Milano, Italy, 2011)

Наименование источника:

• Proceedings of the 18th IFAC World Congress (Milano, 2011)

• Milan

Издательство:

• IFAC Publication

2011

Страницы:

4701-4706
Аннотация
We consider a finite horizon linear discrete time varying system whose input is a random noise with an imprecisely known probability law. The statistical uncertainty is described by a nonnegative parameter a which constrains the anisotropy of the noise as an entropy theoretic measure of deviation of the actual noise distribution from Gaussian white noise laws with scalar covariance matrices. The worst-case disturbance attenuation capabilities of the system with respect to the statistically uncertain random inputs are quantified by the a-anisotropic norm which is a constrained operator norm of the system. We establish an anisotropic norm bounded real lemma which provides a state-space criterion for the a-anisotropic norm of the system not to exceed a given threshold. The criterion is organized as an inequality on the determinants of matrices associated with a difference Riccati equation and extends the Bounded Real Lemma of the H¥-control theory. We also provide a necessary background on the anisotropy-based robust performance analysis

Библиографическая ссылка:

Максимов Е.А., Курдюков А.П., Владимиров И.Г. Anisotropic Norm Bounded Real Lemma for Linear Discrete Time Varying Systems / Proceedings of the 18th IFAC World Congress (Milano, 2011). Milan: IFAC Publication, 2011. С. 4701-4706.