Saturated Control Of Linear Systems PDF Download
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Author | : Abdellah Benzaouia |
Publisher | : Springer |
Total Pages | : 257 |
Release | : 2017-09-20 |
Genre | : Technology & Engineering |
ISBN | : 3319659901 |
Download Saturated Control of Linear Systems Book in PDF, ePub and Kindle
This book deals with a combination of two main problems for the first time. They are saturation on control and on the rate (or increment) of the control, and the solution of unsymmetrical saturation on the control by LMIs. It treats linear systems in state space form, in both the continuous- and discrete-time domains. Necessary and sufficient conditions are derived for autonomous linear systems with constrained state increment or rate, such that the system evolves respecting incremental or rate constraints if any. A pole assignment technique is then used to solve the problem, giving stabilizing state feedback controllers that respect non-symmetrical constraints on control alone or on both control and its increment or rate. Illustrative examples show the application of these methods on academic examples or on such real plant models as the double integrator system. This problem is then extended to various others including: systems with constraints and perturbations; singular systems with constrained control; systems with unsymmetrical saturations; saturated systems with delay, and 2-D systems with saturations. The solutions obtained are of two types: necessary and sufficient conditions solved with linear programming techniques; and sufficient conditions under LMIs. A new approach extends existing techniques for dealing with symmetrical saturations to take direct account of unsymmetrical saturations into account with LMIs. This tool enables the authors to obtain new results on continuous- and discrete-time systems. The book uses illustrative examples and figures and provides many comparisons with existing results. Systems theoreticians interested in multidimensional systems and practitioners working with saturated and constrained controllers will find the research and background presented in Saturated Control of Linear Systems to be of considerable interest in helping them overcome problems with their plant and in stimulating further research.
Author | : Tingshu Hu |
Publisher | : Springer Science & Business Media |
Total Pages | : 397 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461202051 |
Download Control Systems with Actuator Saturation Book in PDF, ePub and Kindle
Saturation nonlinearities are ubiquitous in engineering systems. In control systems, every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. A digital filter is subject to saturation if it is implemented in a finite word length format. Saturation nonlinearities are also purposely introduced into engineering systems such as control sys tems and neural network systems. Regardless of how saturation arises, the analysis and design of a system that contains saturation nonlinearities is an important problem. Not only is this problem theoretically challenging, but it is also practically imperative. This book intends to study control systems with actuator saturation in a systematic way. It will also present some related results on systems with state saturation or sensor saturation. Roughly speaking, there are two strategies for dealing with actuator sat uration. The first strategy is to neglect the saturation in the first stage of the control design process, and then to add some problem-specific schemes to deal with the adverse effects caused by saturation. These schemes, known as anti-windup schemes, are typically introduced using ad hoc modifications and extensive simulations. The basic idea behind these schemes is to intro duce additional feedbacks in such a way that the actuator stays properly within its limits. Most of these schemes lead to improved performance but poorly understood stability properties.
Author | : Sophie Tarbouriech |
Publisher | : Springer Science & Business Media |
Total Pages | : 441 |
Release | : 2011-08-13 |
Genre | : Technology & Engineering |
ISBN | : 0857299417 |
Download Stability and Stabilization of Linear Systems with Saturating Actuators Book in PDF, ePub and Kindle
This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.
Author | : Tingshu Hu |
Publisher | : Birkhäuser |
Total Pages | : 0 |
Release | : 2012-10-24 |
Genre | : Technology & Engineering |
ISBN | : 9781461266617 |
Download Control Systems with Actuator Saturation Book in PDF, ePub and Kindle
Saturation nonlinearities are ubiquitous in engineering systems. In control systems, every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. A digital filter is subject to saturation if it is implemented in a finite word length format. Saturation nonlinearities are also purposely introduced into engineering systems such as control sys tems and neural network systems. Regardless of how saturation arises, the analysis and design of a system that contains saturation nonlinearities is an important problem. Not only is this problem theoretically challenging, but it is also practically imperative. This book intends to study control systems with actuator saturation in a systematic way. It will also present some related results on systems with state saturation or sensor saturation. Roughly speaking, there are two strategies for dealing with actuator sat uration. The first strategy is to neglect the saturation in the first stage of the control design process, and then to add some problem-specific schemes to deal with the adverse effects caused by saturation. These schemes, known as anti-windup schemes, are typically introduced using ad hoc modifications and extensive simulations. The basic idea behind these schemes is to intro duce additional feedbacks in such a way that the actuator stays properly within its limits. Most of these schemes lead to improved performance but poorly understood stability properties.
Author | : Vikram Kapila |
Publisher | : CRC Press |
Total Pages | : 338 |
Release | : 2002-02-20 |
Genre | : Technology & Engineering |
ISBN | : 9780203910818 |
Download Actuator Saturation Control Book in PDF, ePub and Kindle
Compiling the most significant advances from nearly a decade of research, this reference compares and evaluates a wide variety of techniques for the design, analysis, and implementation of control methodologies for systems with actuator saturation. The book presents efficient computational algorithms and new control paradigms for application in the
Author | : Rush D. Robinett |
Publisher | : |
Total Pages | : |
Release | : 1997 |
Genre | : |
ISBN | : |
Download Lyapunov Optimal Saturated Control for Non-linear Systems Book in PDF, ePub and Kindle
Author | : Shuli Guo |
Publisher | : Springer |
Total Pages | : 268 |
Release | : 2018-04-12 |
Genre | : Technology & Engineering |
ISBN | : 9811089086 |
Download Stability and Control of Nonlinear Time-varying Systems Book in PDF, ePub and Kindle
This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.
Author | : Abdellah Benzaouia |
Publisher | : Springer Science & Business Media |
Total Pages | : 300 |
Release | : 2012-03-30 |
Genre | : Technology & Engineering |
ISBN | : 1447128990 |
Download Saturated Switching Systems Book in PDF, ePub and Kindle
Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.
Author | : Ali Saberi |
Publisher | : Springer Science & Business Media |
Total Pages | : 467 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1447107276 |
Download Control of Linear Systems with Regulation and Input Constraints Book in PDF, ePub and Kindle
This monograph couples output regulation with several recent developments in modern control theory. It re-examines output regulation theory to achieve a design of controllers that take into account the physical limiting characteristics of actuators such as saturation. The book provides a solution to the basic problem of finding a controller that achieves internal stabilization, results in a desired performance norm, and renders asymptotic tracking of a reference signal even in the presence of persistent disturbances.
Author | : Alec J. Bateman |
Publisher | : |
Total Pages | : 116 |
Release | : 2002 |
Genre | : |
ISBN | : |
Download Stability Analysis and Control Design for Linear Systems Subject to Nested Saturation Book in PDF, ePub and Kindle