05043nam 2200541 450 99651186360331620231006150908.03-031-01956-310.1007/978-3-031-01956-2(MiAaPQ)EBC7191429(Au-PeEL)EBL7191429(CKB)26089589300041(DE-He213)978-3-031-01956-2(PPN)26820831X(EXLCZ)992608958930004120230510d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSampled-data control for periodic objects /Efim Rosenwasser, Torsten Jeinsch, Wolfgang Drewelow1st ed. 2022.Cham, Switzerland :Springer,[2022]©20221 online resource (258 pages)Print version: Rosenwasser, Efim N. Sampled-Data Control for Periodic Objects Cham : Springer International Publishing AG,c2023 9783031019555 Includes bibliographical references and index.Part I: The Frequency Approach to the Mathematical Description of Linear Periodic Objects -- Discrete Operational Transformations of Functions of Continuous Argument and Operator Description of LTI Systems -- State-Space Analysis of Finite-Dimensional Linear Continuous Periodic (FDLCP) Objects -- Frequency Method in the Theory of FDLCP Objects -- Floquet–Lyapunov Decomposition and its Application -- Part II: PTM approach to SD systems with FDLCP Objects -- Open-Loop SD System with FDLCP Object -- Open-Loop SD System with FDLCP Object and Delay -- Closed-Loop SD System with FDLCP Object and Delay -- Part III: Determinant Polynomial Equations, SD Modal Control and Stabilization of FDLCP Objects -- Polynomial Matrices -- Rational Matrices -- Determinant Polynomial Equations, Causal Modal Control and Stabilization of Discrete Systems -- 11 Synchronous SD Stabilization of FDLCP Objects -- Asynchronous SD Stabilization of FDLCP Objects -- Part IV Building the Quality Functional for the H2-Optimization Task of the System Sτ -- General PTM Properties of Synchronous Open-Loop SD System with Delay -- 14 PTM of the Closed-Loop SD System with Delay as Function of Argument s -- Calculation of Matrices v0(s), ξ0(s), ψ0(s) -- System Function -- Representing the PTM of a Closed-Loop Synchronous SD System by the System Function -- H2-Norm of the Closed-Loop SD System -- Construction of the Quality Functional -- Part V H2-Optimization of the Closed-Loop SD System -- Scalar and Matrix Quasi-polynomials -- Minimization of a Quadratic Functional on the Unit Circle -- Construction of Matrix η(s,t) -- Construction of Matrix C ̃T (s,t) -- Transformation of Quality Functional -- H2-Optimization of the System Sτ.This book is devoted to the problem of sampled-data control of finite-dimensional linear continuous periodic (FDLCP) objects. It fills a deficit in coverage of this important subject. The methods presented here are based on the parametric transfer matrix, which has proven successful in the study of sampled-data systems with linear time-invariant objects. The book shows that this concept can be successfully transferred to sampled-data systems with FDLCP objects. It is set out in five parts: an introduction to the frequency approach for the mathematical description of FDLCP objects including the determination of their structure and their representation as a serial connection of periodic modulators and a linear time-invariant object; construction of parametric transfer matrix for different types of open and closed sampled-data systems with FDLCP objects; the solution of problems of causal modal control of FDLCP objects based on the mathematical apparatus of determinant polynomial equations; consideration of the problem of constructing a quadratic quality functional for the H2-optimization problem of a single-loop synchronous sampled-data system with control delay; description of the general H2-optimization procedure. Necessary mathematical reference material is included at relevant points in the book. Sampled-Data Control for Periodic Objects is of use to: scientists and engineers involved in research and design of systems of systems with FDLCP objects; graduate students wishing to broaden their scope of competence; their instructors; and mathematicians working in the field of control theory.Automatic controlControl automàticthubTeoria de controlthubLlibres electrònicsthubAutomatic control.Control automàticTeoria de control629.8Rosenwasser Efim1228646Jeinsch TorstenDrewelow WolfgangMiAaPQMiAaPQMiAaPQBOOK996511863603316Sampled-data control for periodic objects3361726UNISA