These lecture notes focus on the synthesis of robust con- trollers for feedback systems, in the presence of unstruc- tured perturbations. It is assumed, as a prerequisites, that the reader is familiar with the basic linear system and au- tomatic control concepts. In part I interpolation theory is used to solve various single-input-single-output (SISO) ro- bust control problems. While the interpolation approach is awkward for multivariable systems, it provides a very natu- ral and simple approach for SISO systems. In particular the interpolation approach requires only elementary knowledge of complex variables, and provides a great deal of physical insight into various robust control problems. The required interpolation theory is developed in some detail. Part II is devoted to multivariable systems. Two approaches are out- lined: the Hankle-norm approach and the two-Riccati-equa- tion approach. In this part only a limited number of results are proven. However MATLAB software is presented for nu- merical solution. The book is addressed to researchers, practicing engineers, and students who wish to get an intro- duction to robust control theory for unstructured plant perturbations. The organization of the book as lecture notes and the presence of examples and of exercises at the end of many chapters allow to use the book as an introductory text in Robust Control courses.
This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions. The second and third parts form the core of the book and concern the solutions of algebraic Riccati equations arising from continuous and discrete systems. The geometric theory and iterative analysis are both developed in detail. The last part of the book is an exciting collection of eight problem areas in which algebraic Riccati equations play a crucial role. These applications range from introductions to the classical linear quadratic regulator problems and the discrete Kalman filter to modern developments in HD*W*w control and total least squares methods.
This volume builds upon the foundations set in Volumes 1 and 2. Chapter 13 introduces the basic concepts of stochastic control and dynamic programming as the fundamental means of synthesizing optimal stochastic control laws.
The Friedman-Lucas Transition in Macroeconomics: A Structuralist Approach considers how and to what extent monetarist and new classical theories of the business-cycle can be regarded as approximately true descriptions of a cycle’s causal structure or whether they can be no more than useful predictive instruments. This book will be of interest to upper-division undergraduates, graduate students, researchers and professionals concerned with practical, theoretical and historical aspects of macroeconomics and business-cycle modeling. Offers a wide selection of Robert Lucas’s unpublished works Discusses the history of business-cycle theories in the context of methodological advancements Suggests effective arguments for emphasizing the key role of representative agents and their assumed properties in macro-modeling
This two-part book on collections of paintings in Madrid is part of the series Documents for the History of Collecting, Spanish Inventories 1, which presents volumes of art historical information based on archival records. One hundred forty inventories of noble and middle-class collections of art in Madrid are accompanied by two essays describing the taste and cultural atmosphere of Madrid in the seventeenth and eighteenth centuries.
This volume includes concise, illustrated entries on the more than 450 examples of furniture, porcelain, and silver from the Museum's collection. New to this expanded edition are sections devoted to maiolica and glass. An index of previous owners and updated bibliographies are of particular help to the scholar.
Dosso's rich color schemes are akin to those of his fellow North Italian Titian; he learned something about innovative composition from Raphael and about the force of the body from Michelangelo. But his paintings have a very individual appeal. In leafy natural surroundings containing an array of animals and heavenly bodies, events unfold that are often enigmatic, enacted by characters whose interrelationships elude definition.
Peter Vickers examines 'inconsistent theories' in the history of science—theories which, though contradictory, are held to be extremely useful. He argues that these 'theories' are actually significantly different entities, and warns that the traditional goal of philosophy to make substantial, general claims about how science works is misguided.
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