State-space and Multivariable Theory
Author : H. H. Rosenbrock
Publisher :
Page : 276 pages
File Size : 16,39 MB
Release : 1970
Category : Control theory
ISBN :
Author : H. H. Rosenbrock
Publisher :
Page : 276 pages
File Size : 16,39 MB
Release : 1970
Category : Control theory
ISBN :
Author : Shankar P. Bhattacharyya
Publisher : Cambridge University Press
Page : 697 pages
File Size : 33,49 MB
Release : 2022-01-13
Category : Mathematics
ISBN : 1108841686
A graduate text providing broad coverage of linear multivariable control systems, including several new results and recent approaches.
Author : Rajnikant V. Patel
Publisher : Pergamon
Page : 396 pages
File Size : 16,89 MB
Release : 1982
Category : Mathematics
ISBN :
Author : W. A. Wolovich
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 30,22 MB
Release : 2012-12-06
Category : Science
ISBN : 1461263921
This text was developed over a three year period of time (1971- 1973) from a variety of notes and references used in the presentation of a senior/first year graduate level course in the Division of En gineering at Brown University titled Linear System Theory. The in tent of the course was not only to introduce students to the more modern, state-space approach to multivariable control system analysis and design, as opposed to the classical, frequency domain approach, but also to draw analogies between the two approaches whenever and wherever possible. It is therefore felt that the material presented will have broader appeal to practicing engineers than a text devoted exclusively to the state-space approach. It was assumed that students taking the course had also taken, as a prerequisite, an undergraduate course in classical control theory and also were familiar with certain standard linear algebraic notions as well as the theory of ordinary differential equations, although a substantial effort was expended to make the material as self-contained as possible. In particular, Chapter 2 is employed to familiarize the reader with a good deal of the mathematical material employed through out the remainder of the text. Chapters 3 through 5 were drawn, in part, from a number of contemporary state-space and matrix algebraic references, as well as some recent research of the author, especially those portions which deal with polynomial matrices and the differential operator approach.
Author : Robert L. Williams, II
Publisher : John Wiley & Sons
Page : 485 pages
File Size : 35,63 MB
Release : 2007-02-09
Category : Technology & Engineering
ISBN : 0471735558
The book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation. Appendices cover linear algebra and provide a Matlab overivew and files. The reviewers pointed out that this is an ambitious project but one that will pay off because of the lack of good up-to-date textbooks in the area.
Author : W. M. Wonham
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 28,71 MB
Release : 2013-11-21
Category : Science
ISBN : 3662226731
In writing this monograph my objective is to present arecent, 'geometrie' approach to the structural synthesis of multivariable control systems that are linear, time-invariant, and of finite dynamic order. The book is addressed to graduate students specializing in control, to engineering scientists engaged in control systems research and development, and to mathematicians with some previous acquaintance with control problems. The label 'geometrie' is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometrie) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometrie properties of distinguished state subspaces. Indeed, the geometry was first brought in out of revulsion against the orgy of matrix manipulation which linear control theory mainly consisted of, not so long ago. But secondlyand of greater interest, the geometrie setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arith metic as soonas you want to compute. The essence of the 'geometrie' approach is just this: instead of looking directly for a feedback laW (say u = Fx) which would solve your synthesis problem if a solution exists, first characterize solvability as a verifiable property of some constructible state subspace, say J. Then, if all is weIl, you may calculate F from J quite easily.
Author : Eric Ostertag
Publisher : Springer Science & Business Media
Page : 359 pages
File Size : 23,30 MB
Release : 2011-01-03
Category : Technology & Engineering
ISBN : 3642137342
This book presents the various design methods of a state-feedback control law and of an observer. The considered systems are of continuous-time and of discrete-time nature, monovariable or multivariable, the last ones being of main consideration. Three different approaches are described: • Linear design methods, with an emphasis on decoupling strategies, and a general formula for multivariable controller or observer design; • Quadratic optimization methods: Linear Quadratic Control (LQC), optimal Kalman filtering, Linear Quadratic Gaussian (LQG) control; • Linear matrix inequalities (LMIs) to solve linear and quadratic problems. The duality between control and observation is taken to advantage and extended up to the mathematical domain. A large number of exercises, all given with their detailed solutions, mostly obtained with MATLAB, reinforce and exemplify the practical orientation of this book. The programs, created by the author for their solving, are available on the Internet sites of Springer and of MathWorks for downloading. This book is targeted at students of Engineering Schools or Universities, at the Master’s level, at engineers desiring to design and implement innovative control methods, and at researchers.
Author : Blomberg
Publisher : Academic Press
Page : 381 pages
File Size : 49,74 MB
Release : 1983-06-14
Category : Computers
ISBN : 0080956726
Algebraic Theory for Multivariable Linear Systems
Author : A. V. Balakrishnan
Publisher :
Page : 204 pages
File Size : 10,5 MB
Release : 1983
Category : Science
ISBN :
Author : P. Albertos Pérez
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 39,89 MB
Release : 2004
Category : Language Arts & Disciplines
ISBN : 1852337389
Multivariable Control Systems focuses on control design with continual references to the practical aspects of implementation. While the concepts of multivariable control are justified, the book emphasises the need to maintain student interest and motivation over exhaustive mathematical proof. Tools of analysis and representation are always developed as methods for achieving a final control system design and evaluation. Features: • design implementation laid out using extensive reference to MATLAB®; • combined consideration of systems (plant) and signals (mainly disturbances); • step-by-step approach from the objectives of multivariable control to the solution of complete design problems. Multivariable Control Systems is an ideal text for graduate students or for final-year undergraduates looking for more depth than provided by introductory textbooks. It will also interest the control engineer practising in industry and seeking to implement robust or multivariable control solutions to plant problems.