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

✍ Scribed by Éva Gyurkovics; Tibor Takács

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
357 KB
Volume
50
Category
Article
ISSN
0167-6911

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✦ Synopsis

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 stabilisability is a generalisation of that used for linear systems so far. A necessary condition of the stabilisability is formulated. A state feedback control satisfying an a priori constraint is proposed for the solution of the formulated H∞ problem. The proposed method may be applicable even in such cases when the linearisation technique cannot be used.

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