Stanislav V. Emelyanov - Böcker

Control of Complex and Uncertain Systems examines feedback controller design for dynamical systems. It gives a compact presentation of the evolution of feedback theory and feedback design methods, before presenting a new theoretical approach to feedback control.Traditionally, the lack of standard procedures for the design of feedback controls that will be subject to uncertain conditions, coupled with a limited understanding of how feedback mechanisms will react to those uncertain conditions, has presented a problem.This book presents a standard principle, as well as concrete methods, for feedback design. It equally aims to increase our understanding of how feedback controllers react to uncertain forces. In doing so it lays the theoretical basis for a new generation of perfect automatic systems.Topics covered include:- Synthesis of Nonlinear Controllers- Higher Degree Sliding Modes- Theory of Coordinate-Operator Feedback / Theory of Operator-Coordinate Feedback- Physical Foundations of the Compensation for Disturbances, and Stabilization of Forced Motion in Binary Systems- Signal Differentiation- Suboptimal Stabilization of an Uncertain Object

This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter.The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered, e.g., variational calculus, control theory and bifurcations theory. Thorough treatment of parameter-dependent extremal problems with local minimum values. Includes many applications, e.g., variational calculus, control theory and bifurcations theory. Intended for specialists in the field of nonlinear analysis and its applications as well as for students specializing in these subjects.