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Multiplier-based robust H∞ design with time-varying uncertainties

✍ Scribed by Athanasios Sideris; Andrei Tchernychev

Book ID
104105812
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
180 KB
Volume
36
Category
Article
ISSN
0005-1098

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✦ Synopsis

A novel multiplier-based approach for robust controller design with real parametric time-varying uncertainty is proposed. Su$cient conditions for robustness analysis are derived in terms of noncausal dynamic multipliers that depend on the the rate of uncertainty variation. An a$ne parametrization of such stability multipliers is introduced and the search for suitable multipliers is reduced to a convex minimization formulated as a linear matrix inequalities (LMI) problem. Stable dynamic scalings derived from this multiplier are employed to formulate an equivalent scaled H norm condition for robust stability, based on which a /k K -synthesis procedure is proposed to design robust controllers for the time-varying parametric uncertainty considered.

📜 SIMILAR VOLUMES

Robust discrete-time control design with
Robust discrete-time control design with time-varying parametric uncertainties
✍ Andrei Tchernychev; Athanasios Sideris 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB 👁 2 views

A novel multiplier approach for robust controller design in discrete-time systems with real, time-varying parametric uncertainty is presented. An important feature of our approach is that bounds on the rate of variation of the uncertain parameters are assumed and, unlike in most related approaches,