Vadim I. Utkin

Sliding Modes in Control and Optimization (eBook, PDF)

• Format: PDF

Produktbeschreibung

The book is devoted to systems with discontinuous control. The study of discontinuous dynamic systems is a multifacet problem which embraces mathematical, control theoretic and application aspects. Times and again, this problem has been approached by mathematicians, physicists and engineers, each profession treating it from its own positions. Interestingly, the results obtained by specialists in different disciplines have almost always had a significant effect upon the development of the control theory. It suffices to mention works on the theory of oscillations of discontinuous nonlinear systems, mathematical studies in ordinary differential equations with discontinuous righthand parts or variational problems in nonclassic statements. The unremitting interest to discontinuous control systems enhanced by their effective application to solution of problems most diverse in their physical nature and functional purpose is, in the author's opinion, a cogent argument in favour of the importance of this area of studies. It seems a useful effort to consider, from a control theoretic viewpoint, the mathematical and application aspects of the theory of discontinuous dynamic systems and determine their place within the scope of the present-day control theory. The first attempt was made by the author in 1975-1976 in his course on "The Theory of Discontinuous Dynamic Systems" and "The Theory of Variable Structure Systems" read to post-graduates at the University of Illinois, USA, and then presented in 1978-1979 at the seminars held in the Laboratory of Systems with Discontinous Control at the Institute of Control Sciences in Moscow.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 286
• Erscheinungstermin: 12. März 2013
• Englisch
• ISBN-13: 9783642843792
• Artikelnr.: 53383306

Inhaltsangabe

I. Mathematical Tools.- 1 Scope of the Theory of Sliding Modes.- 2 Mathematical Description of Motions on Discontinuity Boundaries.- 3 The Uniqueness Problems.- 4 Stability of Sliding Modes.- 5 Singularly Perturbed Discontinuous Systems.- II. Design.- 6 Decoupling in Systems with Discontinuous Controls.- 7 Eigenvalue Allocation.- 8 Systems with Scalar Control.- 9 Dynamic Optimization.- 10 Control of Linear Plants in the Presence of Disturbances.- 11 Systems with High Gains and Discontinuous Controls.- 12 Control of Distributed-Parameter Plants.- 13 Control Under Uncertainty Conditions.- 14 State Observation and Filtering.- 15 Sliding Modes in Problems of Mathematical Programming.- III. Applications.- 16 Manipulator Control System.- 17 Sliding Modes in Control of Electric Motors.- 18 Examples.- References.