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Linear Control Systems: v.1(No.6 Industrial Control, Computers & Communication S.)

Linear Control Systems: v.1(No.6 Industrial Control, Computers & Communication S.)


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About the Book

The main aim of this book is to present recent developments in multivariable one-dimensional (1-D) and multidimensional linear system theory. Special attention is devoted to polynomial-equation methods. The book consists of two volumes. In the first volume, 1-D linear systems are analyzed. The second volume is devoted to the synthesis of multivariable systems and multidimensional systems. The first volume is organized as follows: In chapter 1, solvability conditions of generalized discrete-time and continuous-time 1-D linear systems and methods of finding their solutions are given. The reduction of singular systems to their canonical forms is considered. Transfer matrices, matrix-fraction descriptions, system matrices and their equivalence are also studied. The reachability, controllability, observability and constructibility of generalized linear systems are described in Chapter 2. Tests for checking the output-reachability and observability of composite systems described by differential (difference) operators are given. Different notions of reachability, controllability and observability of linear singular systems are developed. Chapter 3 is devoted to the canonical forms of linear multivariable 1-D systems. Relationships among the canonical forms and Kalman's canonical-structure theorem are also presented. The realization problem of transfer matrices for generalized linear systems is considered in chapter 4. Existence conditions and procedures for finding minimal realization and realizations in canonical forms are given. The realization problem for linear systems described by differential (difference) operators and realization in the Weierstrass canonical form are also considered. Chapter 5 gives definitions and relationships between different poles and zeros of systems and transfer matrices. The system zeros, invariant zeros, decoupling zeros, blocking zeros, system poles, transmission poles and relationships between them are examined. Infinite poles and zeros of transfer matrices and systems are also discussed.

Table of Contents:
Part 1 Generalized linear systems: generalized continuous-time systems; generalized discrete-time systems; solvability of generalized linear systems; determination of solutions to singular linear systems; reduction of the singular system to its canonical form; impulsive solutions to singular linear systems; transfer matrices and matrix-faction descriptions; McMillan form of transfer matrices; description of linear dynamic systems by differential; system matrices and their equivalence. Part 2 Reachability, controllability, observability and constructivility: reachability of linear regular discrete-time systems; controllability of linear regular discrete-time systems; observability of linear regular discrete-time systems; constructibility of linear regular discrete-time systems; reachability of linear regular continuous-time systems; controllability of linear regular continuous-time systems; observability of linear regular continuous-time systems; constructibility of linear regular continuous-time systems; output-reachability of linear regular systems; reachability and observability of linear regular systems with state-feedback and output-feedback; reachability and observability of composite linear systems; reachability and observability of linear systems described by differential operators; reachability and observability of linear composite systems described by differential operators; output-reachability of linear composite systems; controllability of linear singular systems; observability of linear singular systems; impulse observability of singular systems; observability at infinity and strong observability of singular systems; C-observability and relations among different types of observability. Part 3 Canonical forms for linear multivariable systems: linear transformations; canonical forms for single-input single-output systems; canonical forms for multivariable systems; canonical forms for uncrontrollable and unobservable linear systems; canonical forms for generalized linear systems. Part 4 Realizations of transfer matrices: basic definitions and problem formulation; existence and determination of minimal realizations; realization problem for linear systems described by differential operators; realization in the Weierstrass canonical form; realization of generalized linear systems via Markov parameters. Part 5 Poles and zeros: poles and zeros of transfer matrices; poles and zeros of linear systems; relationships between poles and zeros of transfer matrices and systems; invariance of aeros under output feedback; infinite poles and zeros.


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Product Details
  • ISBN-13: 9780863801266
  • Publisher: Research Studies Press
  • Publisher Imprint: Research Studies Press
  • Height: 229 mm
  • Series Title: No.6 Industrial Control, Computers & Communication S.
  • Weight: 700 gr
  • ISBN-10: 0863801269
  • Publisher Date: 30 Jul 1992
  • Binding: Hardback
  • Language: English
  • Sub Title: v.1
  • Width: 152 mm


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Linear Control Systems: v.1(No.6 Industrial Control, Computers & Communication S.)
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