Implicit Linear Systems

These notes are an introduction to implicit models of linear dynamical systems, with applications to modelling, control system design, and identification, intended for control-system engineers at the beginning graduate level. Because they are non-oriented, the models are particularly useful where causality is unknown or may change. They are implicit in all variables and closed under the algebraic operations, and hence are useful for computer-aided analysis and design. They possess the vector-matrix conceptual simplicity and computational feasibility of state-space equations, together with the generality of matrix-fraction descriptions, and admit of canonical forms for which the joint identification of system parameters and dynamic variables is linear. The notes simplify, generalize, and complement much recent work on "singular" or "descriptor" models, but do not duplicate it. Sections are included on realizations, canonical forms, minimal representations, algebraic design applications, quadratic optimization, identification, large-scale systems, and extensions to multi-dimensional and time-varying systems.

List of contents

System models.- The Kronecker form.- Analysis of singularities.- Systems of minimal dimension.- Canonical representations.- Algebraic design applications.- Optimization with quadratic cost.- System identification.- Large-scale systems.- Extensions.

Product details

• Authors: J Dwight Aplevich, J. Dwight Aplevich, J.Dwight Aplevich
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 15.10.2013
• EAN: 9783540535379
• ISBN: 978-3-540-53537-9
• No. of pages: 179
• Dimensions: 165 mm x 240 mm x 12 mm
• Weight: 348 g
• Illustrations: XI, 179 p.
• Series: Lecture Notes in Control and Information Sciences; Lecture Notes in Control and Information Sciences
• Subject: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering