Time Varying Discrete Linear Systems PDF Download
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Author | : Aristide Halanay |
Publisher | : Birkhäuser |
Total Pages | : 237 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034884990 |
Download Time-Varying Discrete Linear Systems Book in PDF, ePub and Kindle
Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.
Author | : Akira Ichikawa |
Publisher | : Springer Science & Business Media |
Total Pages | : 382 |
Release | : 2001-02-26 |
Genre | : Medical |
ISBN | : 9781852334390 |
Download Linear Time Varying Systems and Sampled-data Systems Book in PDF, ePub and Kindle
This monograph considers linear optimal regulators, differential games and develops the theory for time-varying systems and jump systems.
Author | : Lixian Zhang |
Publisher | : Springer |
Total Pages | : 258 |
Release | : 2016-01-19 |
Genre | : Technology & Engineering |
ISBN | : 3319288504 |
Download Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering Book in PDF, ePub and Kindle
This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.
Author | : Aristide Halanay |
Publisher | : Birkhäuser |
Total Pages | : 230 |
Release | : 1994-03-01 |
Genre | : Mathematics |
ISBN | : 9783764350123 |
Download Time-Varying Discrete Linear Systems Book in PDF, ePub and Kindle
Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.
Author | : Zoran M. Buchevats |
Publisher | : CRC Press |
Total Pages | : 454 |
Release | : 2017-11-22 |
Genre | : Technology & Engineering |
ISBN | : 1351707590 |
Download Linear Discrete-Time Systems Book in PDF, ePub and Kindle
This book covers crucial lacunae of the linear discrete-time time-invariant dynamical systems and introduces the reader to their treatment, while functioning under real, natural conditions, in forced regimes with arbitrary initial conditions. It provides novel theoretical tools necessary for the analysis and design of the systems operating in stated conditions. The text completely covers two well-known systems, IO and ISO, along with a new system, IIO. It discovers the concept of the full transfer function matrix F(z) in the z-complex domain, which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. Consequently, it addresses the full system matrix P(z) and the full block diagram technique based on the use of F(z), which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. The book explores the direct relationship between the system full transfer function matrix F(z) and the Lyapunov stability concept, definitions, and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the linear discrete-time time-invariant system, for short systems.
Author | : Kostas S. Tsakalis |
Publisher | : |
Total Pages | : 302 |
Release | : 1993 |
Genre | : Science |
ISBN | : |
Download Linear Time-varying Systems Book in PDF, ePub and Kindle
Author | : Hoai-Nam Nguyen |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2014-01-02 |
Genre | : Technology & Engineering |
ISBN | : 9783319028262 |
Download Constrained Control of Uncertain, Time-Varying, Discrete-Time Systems Book in PDF, ePub and Kindle
A comprehensive development of interpolating control, this monograph demonstrates the reduced computational complexity of a ground-breaking technique compared with the established model predictive control. The text deals with the regulation problem for linear, time-invariant, discrete-time uncertain dynamical systems having polyhedral state and control constraints, with and without disturbances, and under state or output feedback. For output feedback a non-minimal state-space representation is used with old inputs and outputs as state variables. Constrained Control of Uncertain, Time-Varying, Discrete-time Systems details interpolating control in both its implicit and explicit forms. In the former at most two linear-programming or one quadratic-programming problem are solved on-line at each sampling instant to yield the value of the control variable. In the latter the control law is shown to be piecewise affine in the state, and so the state space is partitioned into polyhedral cells so that at each sampling interval the cell to which the measured state belongs must be determined. Interpolation is performed between vertex control, and a user-chosen control law in its maximal admissible set surrounding the origin. Novel proofs of recursive feasibility and asymptotic stability of the vertex control law, and of the interpolating control law are given. Algorithms for implicit and explicit interpolating control are presented in such a way that the reader may easily realize them. Each chapter includes illustrative examples, and comparisons with model predictive control in which the disparity in computational complexity is shown to be particularly in favour of interpolating control for high-order systems, and systems with uncertainty. Furthermore, the performance of the two methods proves similar except in those cases when a solution cannot be found with model predictive control at all. The book concludes with two high dimensional examples and a benchmark robust model predictive control problem: the non-isothermal continuously-stirred-tank reactor. For academic control researchers and students or for control engineers interested in implementing constrained control systems Constrained Control of Uncertain, Time-Varying, Discrete-time Systems will provide an attractive low-complexity control alternative for cases in which model predictive control is currently attempted.
Author | : O.L.V. Costa |
Publisher | : Springer Science & Business Media |
Total Pages | : 287 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 1846280826 |
Download Discrete-Time Markov Jump Linear Systems Book in PDF, ePub and Kindle
This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time
Author | : Antonio Loría |
Publisher | : Springer Science & Business Media |
Total Pages | : 312 |
Release | : 2006-02-09 |
Genre | : Language Arts & Disciplines |
ISBN | : 9781846283130 |
Download Advanced Topics in Control Systems Theory Book in PDF, ePub and Kindle
This book includes selected contributions by lecturers at the third annual Formation d’Automatique de Paris. It provides a well-integrated synthesis of the latest thinking in nonlinear optimal control, observer design, stability analysis and structural properties of linear systems, without the need for an exhaustive literature review. The internationally known contributors to this volume represent many of the most reputable control centers in Europe.
Author | : John S. Bay |
Publisher | : McGraw-Hill Science, Engineering & Mathematics |
Total Pages | : 600 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : |
Download Fundamentals of Linear State Space Systems Book in PDF, ePub and Kindle
Spans a broad range of linear system theory concepts, but does so in a complete and sequential style. It is suitable for a first-year graduate or advanced undergraduate course in any field of engineering. State space methods are derived from first principles while drawing on the students' previous understanding of physical and mathematical concepts. The text requires only a knowledge of basic signals and systems theory, but takes the student, in a single semester, all the way through state feedback, observers, Kalman filters, and elementary I.Q.G. control.