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H∞ control for discrete-time linear systems with Frobenius norm-bounded uncertainties

✍ Scribed by El-Kébir Boukas; Peng Shi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
123 KB
Volume
35
Category
Article
ISSN
0005-1098

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✦ Synopsis

In this paper, we consider the problems of robust stability and control for the class of uncertain discrete-time linear systems with Frobenius norm-bounded parameter uncertainties in all matrices of the system and output equations. Necessary and su$cient conditions for the above problems are proposed. A linear static state feedback control law is designed, which is in terms of a Riccati inequality. The results obtained here show that the robust control problem of the uncertain system is equivalent to the control problem for a corresponding uncertainty-free system.

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Local stabilization for linear discrete-
Local stabilization for linear discrete-time systems with bounded controls and norm-bounded time-varying uncertainty
✍ Sophie Tarbouriech; Germain Garcia 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 139 KB 👁 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