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Robust stabilisation and H [infinity] problems

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Published by Kluwer Academic in Dordrecht, Netherlands, Boston .
Written in English

Subjects:

  • H [infinity symbol] control.

Book details:

Edition Notes

Statementby Vlad Ionescu and Adrian Stoica.
SeriesMathematics and its applications ;, v. 482, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 482.
ContributionsStoica, Adrian.
Classifications
LC ClassificationsQA402.3 .I66 1999
The Physical Object
Paginationxv, 183 p. :
Number of Pages183
ID Numbers
Open LibraryOL40123M
ISBN 100792357531
LC Control Number99030313

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  Robust stabilisation and H [infinity] problems by Vlad Ionescu, , Kluwer Academic edition, in EnglishPages: Robust Stabilization and H-infinity Problems. Book January namely using a time-domain, matrix-theory based approach. This book also: Presents and formulates the robustness problem in a. Get this from a library! Robust Stabilisation and H∞ Problems. [Vlad Ionescu; Adrian Stoica] -- This book contains the combined treatment of several problems of control systems theory, such as the H INFINITY control problem, the Nehari problem and robust stabilisation. These topics are.   Robust H-infinity control synthesis method and its application to benchmark problems. Robust stabilization of the Space Station in the presence of inertia matrix uncertainty. Combined linear quadratic Gaussian and H-infinity control of a benchmark problem.

Robust Stabilisation and H ∞ Problems. Authors (view affiliations) Vlad Ionescu; Adrian Stoica; Book. 6 Citations; The first concerns the theory in which the whole development of the book was embedded. As is well known, there are several ways of approach­ oo ing H and robust control theory. Here we mention three relevant direc­ tions. Relations between these robust stabilization problems and H/sup infinity / control theory are explored. It is also shown that in a number of cases, if a robust stabilization problem can be solved via Lyapunov methods, then it can be also be solved via H/sup infinity / control theory-based methods. H-infinity control theory deals with the minimization of the H-infinity-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given and H-infinity Control examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems. In fact, there are many control problems related to the L 2 norm inequality (external stability) such as H ∞ control, 3, 4 disturbance attenuation, 5 and L 2 gain analysis. 6,7 For fractional.

L. Li and K. Zhou, “An approximation approach to decentralized H-infinity control,” The 4th World Congress on Intelligent Control and Automation, June D.U. Campos-Delgado and K. Zhou, “H-infinity and H 2 Strong Stabilization by Numerical Optimization,” Submitted to IFAC   5. Conclusions. This paper has presented solutions for the H ∞ control and robust stabilization problems for 2-D systems described by the Roesser model using the 2-D system bounded realness property. It is shown that these solutions can be recast to a convex optimization under constraints of linear matrix inequalities and, therefore, be efficiently computed using the recently . singular value. In this problem the plant is fixed and known, although a certain robust stabilization problem can be recast in this form. The general robust per-formance problem - how to design a controller which is Hoo-optimal for the worst plant in a pre-specified set - is as yet unsolved. The book focuses on the mathematics of Hoo control. 6. reproduce the formulation of the optimal robust stabilization problem for additive and multiplicative perturbations, and is able to outline the solutions to these problems using the solution of the H-infinity control problem. 7. state the small gain theorem, and to outline its proof.