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Advances in Linear Matrix Inequality Methods in Control

Advances in Linear Matrix Inequality Methods in Control

$133.00 (P)

Part of Advances in Design and Control

L. El Ghaoui, S.-I. Niculescu, J.-P. A. Haeberly, M. V. Nayakkankuppam, M. L. Overton, C. Lemaréchal, F. Oustry, S.-P. Wu, S. Boyd, M. Fu, S. Dasgupta, U. Jönsson, A. Rantzer, F. Paganini, E. Feron, K. Y. Yang, S. R. Hall, E. Feron, C. E. de Souza, A. Trofino, C. W. Scherer, -P. Apkarian, R. J. Adams, T. Iwasaki, K. M. Grigoriadis, E. B. Beran, M. Mesbahi, M. G. Safonov, G. P. Papavassilopoulos, J. Oishi, V. Balakrishnan, S. Dussy, J. P. Folcher, C. Andriot
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  • Date Published: January 1987
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714388

$ 133.00 (P)
Paperback

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About the Authors
  • Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This book provides an up-to-date account of the LMI method and covers topics such as recent LMI algorithms, analysis and synthesis issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control. The basic idea of the LMI method in control is to approximate a given control problem via an optimization problem with linear objective and so-called LMI constraints. The LMI method leads to an efficient numerical solution and is particularly suited to problems with uncertain data and multiple (possibly conflicting) specifications.

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    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898714388
    • length: 400 pages
    • dimensions: 255 x 178 x 22 mm
    • weight: 0.698kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    Notation
    Part I. Introduction. Robust Decision Problems in Engineering: A linear matrix inequality approach L. El Ghaoui and S.-I. Niculescu
    Part II. Algorithms and Software: Mixed Semidefinite-Quadratic-Linear Programs J.-P. A. Haeberly, M. V. Nayakkankuppam and M. L. Overton
    Nonsmooth algorithms to solve semidefinite programs C. Lemaréchal and F. Oustry
    sdpsol: A Parser/Solver for Semidefinite Programs with Matrix Structure S.-P. Wu and S. Boyd
    Part III. Analysis: Parametric Lyapunov Functions for Uncertain Systems: The Multiplier Approach M. Fu and S. Dasgupta
    Optimization of Integral Quadratic Constraints U. Jönsson and A. Rantzer
    Linear Matrix Inequality Methods for Robust H2 Analysis: A Survey with Comparisons F. Paganini and E. Feron
    Part IV. Synthesis. Robust H2 Control K. Y. Yang, S. R. Hall and E. Feron
    Linear Matrix Inequality Approach to the Design of Robust H2 Filters C. E. de Souza and A. Trofino
    Robust Mixed Control and Linear Parameter-Varying Control with Full Block Scalings C. W. Scherer
    Advanced Gain-Scheduling Techniques for Uncertain Systems P. Apkarian and R. J. Adams
    Control Synthesis for Well-Posedness of Feedback Systems T. Iwasaki
    Part V. Nonconvex Problems. Alternating Projection Algorithms for Linear Matrix Inequalities Problems with Rank Constraints K. M. Grigoriadis and E. B. Beran
    Bilinearity and Complementarity in Robust Control M. Mesbahi, M. G. Safonov and G. P. Papavassilopoulos
    Part VI. Applications:Linear Controller Design for the NEC Laser Bonder via Linear Matrix Inequality Optimization J. Oishi and V. Balakrishnan
    Multiobjective Robust Control Toolbox for LMI-Based Control S. Dussy
    Multiobjective Control for Robot Telemanipulators J. P. Folcher and C. Andriot
    Bibliography
    Index.

  • Editors

    Laurent El Ghaoui

    Silviu-Iulian Niculescu

    Contributors

    L. El Ghaoui, S.-I. Niculescu, J.-P. A. Haeberly, M. V. Nayakkankuppam, M. L. Overton, C. Lemaréchal, F. Oustry, S.-P. Wu, S. Boyd, M. Fu, S. Dasgupta, U. Jönsson, A. Rantzer, F. Paganini, E. Feron, K. Y. Yang, S. R. Hall, E. Feron, C. E. de Souza, A. Trofino, C. W. Scherer, -P. Apkarian, R. J. Adams, T. Iwasaki, K. M. Grigoriadis, E. B. Beran, M. Mesbahi, M. G. Safonov, G. P. Papavassilopoulos, J. Oishi, V. Balakrishnan, S. Dussy, J. P. Folcher, C. Andriot

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