Observability and Controllability of General Linear Systems

Observability and Controllability of General Linear Systems PDF Author: Lyubomir T. Gruyitch
Publisher: CRC Press
ISBN: 042977852X
Category : Computers
Languages : en
Pages : 366

Get Book Here

Book Description
Observability and Controllability of General Linear Systems treats five different families of the linear systems, three of which are new. The book begins with the definition of time together with a brief description of its crucial properties. It presents further new results on matrices, on polynomial matrices, on matrix polynomials, on rational matrices, and on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the proofs of the new necessary and sufficient observability and controllability conditions for all five classes of the studied systems. Features • Generalizes the state space concept and the complex domain fundamentals of the control systems unknown in previously published books by other authors. • Addresses the knowledge and ability necessary to overcome the crucial lacunae of the existing control theory and drawbacks of its applications. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades, completes and broadens the control theory related to the classical self-contained control concepts: observability and controllability. • Provides information necessary to create and teach advanced inherently upgraded control courses.

Observability and Controllability of General Linear Systems

Observability and Controllability of General Linear Systems PDF Author: Lyubomir T. Gruyitch
Publisher: CRC Press
ISBN: 042977852X
Category : Computers
Languages : en
Pages : 366

Get Book Here

Book Description
Observability and Controllability of General Linear Systems treats five different families of the linear systems, three of which are new. The book begins with the definition of time together with a brief description of its crucial properties. It presents further new results on matrices, on polynomial matrices, on matrix polynomials, on rational matrices, and on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the proofs of the new necessary and sufficient observability and controllability conditions for all five classes of the studied systems. Features • Generalizes the state space concept and the complex domain fundamentals of the control systems unknown in previously published books by other authors. • Addresses the knowledge and ability necessary to overcome the crucial lacunae of the existing control theory and drawbacks of its applications. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades, completes and broadens the control theory related to the classical self-contained control concepts: observability and controllability. • Provides information necessary to create and teach advanced inherently upgraded control courses.

Trackability and Tracking of General Linear Systems

Trackability and Tracking of General Linear Systems PDF Author: Lyubomir T. Gruyitch
Publisher: CRC Press
ISBN: 0429778112
Category : Computers
Languages : en
Pages : 378

Get Book Here

Book Description
Trackability and Tracking of General Linear Systems deals with five classes of the systems, three of which are new, begins with the definition of time together with a brief description of its crucial properties and with the principles of the physical uniqueness and continuity of physical variables. They are essential for the natural tracking control synthesis. The book presents further new results on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the completion of the trackability and tracking concepts together with the proofs of the trackability and tracking criteria, as well as the natural tracking control synthesis for all five classes of the systems. Features • Crucially broadens the state space concept and the complex domain fundamentals of the dynamical systems to the control systems. • Addresses the knowledge and ability necessary to study and design control systems that will satisfy the fundamental control goal. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades, completes and essentially generalizes the control theory beyond the existing boundaries. • Provides information necessary to create and teach advanced inherently upgraded control courses.

Controllability and Observability

Controllability and Observability PDF Author: E. Evangelisti
Publisher: Springer Science & Business Media
ISBN: 3642110630
Category : Science
Languages : en
Pages : 289

Get Book Here

Book Description
R.E. Kalman: Lectures on controllability and observability.- E. Kulikowski: Controllability and optimum contro.- A. Straszak: Supervisory controllabilityl.- L. Weiss: Lectures on controllability and observability.

A Study of the Controllability and Observability of Linear Systems

A Study of the Controllability and Observability of Linear Systems PDF Author: Shin-Shyung Hsiao
Publisher:
ISBN:
Category :
Languages : en
Pages : 122

Get Book Here

Book Description


Controllability, Observability, and Reducibility of Linear Systems

Controllability, Observability, and Reducibility of Linear Systems PDF Author: Kurt William Simon
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 140

Get Book Here

Book Description


Controllability and Observability of Linear Systems

Controllability and Observability of Linear Systems PDF Author: Richard Allan Orriss
Publisher:
ISBN:
Category : System analysis
Languages : en
Pages : 146

Get Book Here

Book Description


Trackability and Tracking of General Linear Systems

Trackability and Tracking of General Linear Systems PDF Author: Lyubomir T. Gruyitch
Publisher: CRC Press
ISBN: 0429778104
Category : Computers
Languages : en
Pages : 400

Get Book Here

Book Description
Trackability and Tracking of General Linear Systems deals with five classes of the systems, three of which are new, begins with the definition of time together with a brief description of its crucial properties and with the principles of the physical uniqueness and continuity of physical variables. They are essential for the natural tracking control synthesis. The book presents further new results on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the completion of the trackability and tracking concepts together with the proofs of the trackability and tracking criteria, as well as the natural tracking control synthesis for all five classes of the systems. Features • Crucially broadens the state space concept and the complex domain fundamentals of the dynamical systems to the control systems. • Addresses the knowledge and ability necessary to study and design control systems that will satisfy the fundamental control goal. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades, completes and essentially generalizes the control theory beyond the existing boundaries. • Provides information necessary to create and teach advanced inherently upgraded control courses.

Linear Systems and Optimal Control

Linear Systems and Optimal Control PDF Author: Charles K. Chui
Publisher: Springer Science & Business Media
ISBN: 3642613128
Category : Science
Languages : en
Pages : 162

Get Book Here

Book Description
A knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing. State-space techniques developed since the early sixties have been proved to be very effective. The main objective of this book is to present a brief and somewhat complete investigation on the theory of linear systems, with emphasis on these techniques, in both continuous-time and discrete-time settings, and to demonstrate an application to the study of elementary (linear and nonlinear) optimal control theory. An essential feature of the state-space approach is that both time-varying and time-invariant systems are treated systematically. When time-varying systems are considered, another important subject that depends very much on the state-space formulation is perhaps real-time filtering, prediction, and smoothing via the Kalman filter. This subject is treated in our monograph entitled "Kalman Filtering with Real-Time Applications" published in this Springer Series in Information Sciences (Volume 17). For time-invariant systems, the recent frequency domain approaches using the techniques of Adamjan, Arov, and Krein (also known as AAK), balanced realization, and oo H theory via Nevanlinna-Pick interpolation seem very promising, and this will be studied in our forthcoming monograph entitled "Mathematical Ap proach to Signal Processing and System Theory". The present elementary treatise on linear system theory should provide enough engineering and mathe of these two subjects.

Control Theory for Linear Systems

Control Theory for Linear Systems PDF Author: Harry L. Trentelman
Publisher: Springer Science & Business Media
ISBN: 1447103394
Category : Technology & Engineering
Languages : en
Pages : 393

Get Book Here

Book Description
Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

Observers for Linear Systems

Observers for Linear Systems PDF Author: John O'Reilly
Publisher: Academic Press
ISBN: 0080959997
Category : Business & Economics
Languages : en
Pages : 259

Get Book Here

Book Description
My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.