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9780898714388 Academic Inspection Copy

Advances in Linear Matrix Inequality Methods in Control

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Linear Matrix Inequalities (LMIs) have emerged as useful tools for solving a number of control problems. This volume provides an account of LMI method and covers topics such as LMI algorithms, analysis and synthetic 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 constants. The LMI method leads to an efficient numerical solution and is particularly suited to problems with uncertain data and multiple (possibly conflicting) specifications.
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. Lemarechal 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. Joensson 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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