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H-infinity Control and Estimation of State-multiplicative Linear Systems

  • Book
  • © 2005

Overview

  • The reader will gain state-of-the-art knowledge in the area of state-multiplicative control culled from a comprehensive list of sources together with the authors’ own original research
  • Presents solutions to a number of problems, two of which, the tracking problem and the static output-feedback problems are solved using novel approaches

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 318)

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Table of contents (14 chapters)

Keywords

About this book

Multiplicative noise appears in systems where the process or measurement noise levels depend on the system state vector. Such systems are relevant, for example, in radar measurements where larger ranges involve higher noise level.

This monograph embodies a comprehensive survey of the relevant literature with basic problems being formulated and solved by applying various techniques including game theory, linear matrix inequalities and Lyapunov parameter-dependent functions.

Topics covered include: convex H2 and H-infinity norms analysis of systems with multiplicative noise; state feedback control and state estimation of systems with multiplicative noise; dynamic and static output feedback of stochastic bilinear systems; tracking controllers for stochastic bilinear systems utilizing preview information.

Various examples which demonstrate the applicability of the theory to practical control engineering problems are considered; two such examples are taken from the aerospace and guidance control areas.

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