Advances in Linear Matrix Inequality Methods in Control
$133.00 (P)
Part of Advances in Design and Control
- 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
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133.00
(P)
Paperback
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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.
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