# Minimum Entropy H_{∞} Control

- Editors

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 146)

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- Editors

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 146)

This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.

Normal control design distance feedback uncertainty

- DOI https://doi.org/10.1007/BFb0008861
- Copyright Information Springer-Verlag 1990
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Springer Book Archive
- Print ISBN 978-3-540-52947-7
- Online ISBN 978-3-540-47182-0
- Series Print ISSN 0170-8643
- Series Online ISSN 1610-7411
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