The author considers the latest research results and techniques in this updated and extended edition. Examples are given from mechanical, electrical and aerospace engineering. The approach consists of a rigorous mathematical formulation of control problems and respective methods of solution. The two appendices outline the most important concepts of differential geometry and present some specific data not often found in other standard works. This makes Nonlinear Control Systems suitable as a graduate and undergraduate text and as a source of reference. Local Decompositions of Control Systems.
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He graduated in electrical engineering from the University of Rome in In he obtained a degree equivalent to a doctorate in automatic control from the University of Rome. Since , he has also held a position of rofessor on a half-time basis at the Department of Systems Science and Mathematics, Washington University, St.
Louis, Missouri. He has held visiting positions at several academic institutions, including the University of Illinois Urbana, Il. His research interests are primarily focused on mathematical control theory and control engineering. In , Alberto Isidori initiated a research program aimed at the extension of so-called "geometric theory" of multivariable linear systems, pioneered in the early s by various authors,to linear systems.
Linear algebra and linear geometric methods were replaced in nonlinear systems by the methods of differential geometry, whose usefulness in the study of controllability, observability, and minimality of nonlinear systems had been demonstrated in the early 70s. The main intuition of Isidori was to use differential geometric methods in the synthesis of feedback laws for nonlinear systems, more or less in the same way as linear geometric methods were used in the synthesis of feedback laws for linear systems.
The result of this seminal work was the development of systematic methods addressing outstanding design problems like feedback linearization, noninteracting control, disturbance decoupling, and model matching. Taking as a point of departure the "geometric" interpretation of this notion, the concept of nonlinear zero dynamics was introduced, studied, and applied.
As a result, it was shown that most of the features of the notion of zeros of the transfer function of a linear system are actually manifestations of more general principles.
Remarkable examples of application of this theory consisted in the study and the solution of the nonlinear equivalent of the so-called "servomechanism problem" of linear system theory and in the characterization of the conditions for feedback equivalence to a nonlinear passive system.
Since the 90s, Isidori has focused his research interests on problems of disturbance attenuation and robust stabilization of nonlinear systems. Nonlinear Control Systems 3rd edition , Springer Verlag , pp. Topics in Control Theory, with W. Knobloch and D. Flockerzi, Berkhauser , pp. Byrnes and F. Delli Priscoli, Birkhauser , pp.
Trends in Control Theory editor , Springer Verlag , pp. Systems, Models and Feedback co-editor, with T. Tarn , Birkhauser , pp. Bibliographic information.
Nonlinear Control Systems
Nonlinear Control Systems (Communications And Control Engineering Series)
Analysis and design of nonlinear control systems : in honor of Alberto Isidori