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Robust discrete-time control design with time-varying parametric uncertainties

โœ Scribed by Andrei Tchernychev; Athanasios Sideris

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
169 KB
Volume
9
Category
Article
ISSN
1049-8923

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โœฆ Synopsis

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, dynamic multipliers are obtained that utilize this information. A convex minimization procedure formulated as an LMI problem is presented to obtain multipliers that satisfy the robustness conditions derived. Such conditions are transformed to an equivalent scaled H norm condition and a /k K -synthesis approach is proposed to design robust controllers.

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โœ Sophie Tarbouriech; Germain Garcia ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 139 KB ๐Ÿ‘ 2 views

The problem of the local stabilization of linear discrete-time systems subject to bounded controls and suffering from uncertainty of the norm-bounded time-varying type is addressed. From the solution of a certain discrete Riccati equation, a control gain and a set of safe initial conditions are obta