LEADER 05045nam 2200541 450 001 9910647776303321 005 20231006150908.0 010 $a3-031-01956-3 024 7 $a10.1007/978-3-031-01956-2 035 $a(MiAaPQ)EBC7191429 035 $a(Au-PeEL)EBL7191429 035 $a(CKB)26089589300041 035 $a(DE-He213)978-3-031-01956-2 035 $a(PPN)26820831X 035 $a(EXLCZ)9926089589300041 100 $a20230510d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSampled-data control for periodic objects /$fEfim Rosenwasser, Torsten Jeinsch, Wolfgang Drewelow 205 $a1st ed. 2022. 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$dŠ2022 215 $a1 online resource (258 pages) 311 08$aPrint version: Rosenwasser, Efim N. Sampled-Data Control for Periodic Objects Cham : Springer International Publishing AG,c2023 9783031019555 320 $aIncludes bibliographical references and index. 327 $aPart 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 S? -- 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), ?0(s), ?0(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 ?(s,t) -- Construction of Matrix C ?T (s,t) -- Transformation of Quality Functional -- H2-Optimization of the System S?. 330 $aThis 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. 606 $aAutomatic control 606 $aControl automātic$2thub 606 $aTeoria de control$2thub 608 $aLlibres electrōnics$2thub 615 0$aAutomatic control. 615 7$aControl automātic 615 7$aTeoria de control 676 $a629.8 700 $aRosenwasser$b Efim$01228646 702 $aJeinsch$b Torsten 702 $aDrewelow$b Wolfgang 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910647776303321 996 $aSampled-data control for periodic objects$93361726 997 $aUNINA