✦ LIBER ✦

Systems with uncertain parameters — Time-variations with bounded derivatives

✍ Scribed by Ulf Jönsson; Anders Rantzer

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 642 KB
Volume: 6
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(199611)6:9/10<969::aid-rnc262>3.0.co;2-#

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown how derivative bounds on uncertain time-varying parameters can be exploited in robustness analysis of linear systems. A new stability criterion is derived, based on integral quadratic constraints (IQCs) in the frequency domain. The new stability criterion interpolates between well-known stability results. As the derivative bounds tend to zero, the new criterion turns into the usual upper bound for the structured singular value. The stability analysis, which involves a search for suitable multipliers, can be formulated as a convex optimization problemin termsof linear matrixinequalities.

📜 SIMILAR VOLUMES

New performance bounds of continuous-tim

New performance bounds of continuous-time LQ systems with uncertain parameters

✍ X. F. Zhang; J. S. Luo; A. Johnson 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 417 KB

## Abstract In this short communication we present new upper and lower performance bounds of LQ (linear—quadratic) systems with time‐varying parametric uncertainties. These new performance bounds improve on those proposed by Wang and Kuo by giving more accurate measures of performance robustness. W

filtering for uncertain stochastic time-

filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities

✍ Zidong Wang; Yurong Liu; Xiaohui Liu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 488 KB

In this paper, we deal with the robust H ∞ filtering problem for a class of uncertain nonlinear time-delay stochastic systems. The system under consideration contains parameter uncertainties, Itô-type stochastic disturbances, time-varying delays, as well as sector-bounded nonlinearities. We aim at d

Fault detection in nonlinear continuous-

Fault detection in nonlinear continuous-time systems with uncertain parameters

✍ Youdong Lin; Mark A. Stadtherr 📂 Article 📅 2008 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 504 KB

Eigenvalue bounds of structures with unc

Eigenvalue bounds of structures with uncertain-but-bounded parameters

✍ Zhiping Qiu; Xiaojun Wang; Michael I. Friswell 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 256 KB

Quadratic stabilisation with H∞-norm bou

Quadratic stabilisation with H∞-norm bound of non-linear discrete-time uncertain systems with bounded control

✍ Éva Gyurkovics; Tibor Takács 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 357 KB

The paper addresses the problem of quadratic stabilisability with H∞-norm bound of uncertain discrete-time control-a ne systems by norm-bounded controls. Both structured parameter uncertainties and unstructured exogenous disturbances are taken into account. The given deÿnition of quadratic stabilisa

Finite-time chaos synchronization of uni

Finite-time chaos synchronization of unified chaotic system with uncertain parameters

✍ Hua Wang; Zheng-zhi Han; Qi-yue Xie; Wei Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 394 KB

This paper deals with the finite-time chaos synchronization of the unified chaotic system with uncertain parameters. Based on the finite-time stability theory, a control law is proposed to realize finite-time chaos synchronization for the unified chaotic system with uncertain parameters. The control