An account of the LMI method, covering topics such as LMI algorithms, analysis and synthesis issues and nonconvex problems.
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Linear matrix inequalities 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.
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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