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Book Stabilization  Synchronization and Tracking of Nonlinear Systems by Feedback Domination Approach

Download or read book Stabilization Synchronization and Tracking of Nonlinear Systems by Feedback Domination Approach written by Song Yan and published by . This book was released on 2015 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation presents a series of fundamental and challenging control problems and their solutions for nonlinear systems, including global stabilization for a class of upper-triangular nonlinear systems, global asymptotic synchronization via sampled-data feedback, finite-time control for synchronization and bounded tracking of a variable-speed wind turbine nonlinear system. The problem of global stabilization for a class of upper-triangular nonlinear systems is first discussed in this dissertation. We focus on the nonlinear systems whose linearization around the origin can and cannot be guaranteed to be controllable, respectively and a variety of nonlinearity growth rates which depend on the input are considered. Based on adding a power integrator technique and the homogeneous domination design, the state-feedback controller is recursively constructed such that the closed-loop systems are globally asymptotically stable. We also investigate the problem of using sampled-data feedback to synchronize a slave (driven) system with a master (driver) system. Based on the domination approach, both state-feedback and output-feedback control methods using sampled-data are proposed to make the tracking error converge to zero. This issue is of practical importance since in practice the system state is transmitted as sampled signal, and very often only the output is measurable. The problem of finite-time synchronization is also discussed where a homogeneous nonlinear controller is designed to make the tracking error converge to zero in a finite time. In addition, the finite-time control technique is applied to solve the tracking problem of a variable-speed wind turbine system. A finite-time nonlinear tracking controller has been designed for an obtained variable-speed wind turbine model to achieve finite-time asymptotic tracking control for reference rotor speed signals, in order to capture maximum wind power in the operational mode. The proposed scheme relies on Barrier Lyapunov Functions, with which the output of closed-loop system will remain bounded under a mild condition on the initial output. The comparison between the designed controller and traditional finite-time controller which is based on Quadratic Lyapunov Functions is presented.

Book Stabilization and Regulation of Nonlinear Systems

Download or read book Stabilization and Regulation of Nonlinear Systems written by Zhiyong Chen and published by Springer. This book was released on 2014-08-30 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of this textbook is a systematic and self-contained treatment of the nonlinear stabilization and output regulation problems. Its coverage embraces both fundamental concepts and advanced research outcomes and includes many numerical and practical examples. Several classes of important uncertain nonlinear systems are discussed. The state-of-the art solution presented uses robust and adaptive control design ideas in an integrated approach which demonstrates connections between global stabilization and global output regulation allowing both to be treated as stabilization problems. Stabilization and Regulation of Nonlinear Systems takes advantage of rich new results to give students up-to-date instruction in the central design problems of nonlinear control, problems which are a driving force behind the furtherance of modern control theory and its application. The diversity of systems in which stabilization and output regulation become significant concerns in the mathematical formulation of practical control solutions—whether in disturbance rejection in flying vehicles or synchronization of Lorenz systems with harmonic systems—makes the text relevant to readers from a wide variety of backgrounds. Many exercises are provided to facilitate study and solutions are freely available to instructors via a download from springerextras.com. Striking a balance between rigorous mathematical treatment and engineering practicality, Stabilization and Regulation of Nonlinear Systems is an ideal text for graduate students from many engineering and applied-mathematical disciplines seeking a contemporary course in nonlinear control. Practitioners and academic theorists will also find this book a useful reference on recent thinking in this field.

Book Stability and Stabilization of Nonlinear Systems

Download or read book Stability and Stabilization of Nonlinear Systems written by Dirk Aeyels and published by Springer. This book was released on 2008-01-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: These papers were presented at the first EC-TMR Nonlinear Control Network Workshop, on Stability and Stabilization of Nonlinear Systems, that took place in March 1999, Ghent, Belgium. The TMR programme offers a unique opportunity for the academic community to expand their knowledge, share their experience and identify and discuss strategic issues in aspects of nonlinear control engineering. The aim is to create a resource centre of available expertise and research interests. This outstanding reference volume presents current and emerging research directions, including: Stability analysis of nonlinear dynamical systems and converse Lyapunov theorems; Stabilization and regulation of nonlinear dynamical control systems; Control of physical systems using physics-based Lyapunov functions and passivity, as well as bifurcation analysis and optimal control. This collection of peer-reviewed papers provides a comprehensive overview of this field of research for graduate students and researchers in engineering and applied mathematics.

Book Strict Feedback Nonlinear Systems

Download or read book Strict Feedback Nonlinear Systems written by Xianfu Zhang and published by Springer Nature. This book was released on 2023-01-13 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the research progress of the control design about strict-feedback nonlinear systems. A novel gain control design method is proposed, which greatly simplifies the construction procedure of controller for strict-feedback nonlinear systems. The control design problem of strict-feedback nonlinear systems is converted into the determination problem of gain parameters or the construction of dynamic gain equations. Therefore, the tedious iterative design procedure is effectively avoided. This book can be used as a reference for researchers in the field of control theory and engineers seeking advanced methods in practical control applications.

Book Stabilization and H    Control of Switched Dynamic Systems

Download or read book Stabilization and H Control of Switched Dynamic Systems written by Jun Fu and published by Springer Nature. This book was released on 2020-09-24 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several novel constructive methodologies for global stabilization and H-infinity control in switched dynamic systems by using the systems’ structure information. The main features of these new approaches are twofold: i) Novel Lyapunov functions are constructed and new switching strategies are designed to guarantee global finite-time stabilization of the closed-loop switched dynamic systems,while ii) without posing any internal stability requirements on subsystems, the standard H-infinity control problem of the switched dynamic systems is solved by means of dwell-time switching techniques. Systematically presenting constructive methods for analyzing and synthesizing switched systems, the content is of great significance to theoretical research and practical applications involving switched systems alike. The book provides a unified framework for stability analysis, stabilization and H-infinity control of switched systems, making it a valuable resource for researchers and graduate students who want to learn about the state of the art in the analysis and synthesis of switched systems, as well as recent advances in switched linear systems. In addition, it offers a wealth of cutting-edge constructive methods and algorithm designs for researchers who work with switched dynamic systems and graduate students of control theory and control engineering.

Book Adaptive Output Feedback Stabilization of Nonlinear Systems

Download or read book Adaptive Output Feedback Stabilization of Nonlinear Systems written by Lili Diao and published by . This book was released on 2009 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Output feedback control design techniques are required in practice due to the limited number of sensors/measurements available for feedback. This thesis focuses on output feedback controller design techniques for nonlinear systems subject to different system restrictions. The problem of controlling the heart dynamics in a real time manner is formulated as an adaptive learning output-tracking problem. For a class of nonlinear dynamic systems with unknown nonlinearities and non-affine control input, a Lyapunov-based technique is used to develop a control law. An adaptive learning algorithm is exploited that guarantees the stability of the closed-loop system and convergence of the output tracking error to an adjustable neighborhood of the origin. In addition, good approximation of the unknown nonlinearities is also achieved by incorporating a per- sistent exciting signal in the parameter update law. The effectiveness of the proposed method is demonstrated by an application to a cardiac conduction system modelled by two coupled driven oscillators. An output feedback design technique is developed to achieve semi-global practical stabilization for a class of non-minimum phase nonlinear systems, subject to param- eter uncertainties. This work provides a constructive controller design method for an auxiliary system, whose existence is crucial, but is only assumed in (Isidori, 2000). The control design technique is used to regulate the benchmark van de Vusse reactor. Simulation results demonstrate satisfactory controller performance. The output feedback control design for a class of non-minimum phase nonlinear systems with unknown nonlinearities is studied. The proposed approach is able to combine the two previous design methods and provide a stabilizing output feedback control law. The performance of the proposed method is demonstrated by simulation results.

Book Stabilization of nonlinear systems by feedback control

Download or read book Stabilization of nonlinear systems by feedback control written by Carlos Enrique D'Attelis and published by . This book was released on 1988 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Robust Stabilization and Tracking for Nonlinear Systems

Download or read book Robust Stabilization and Tracking for Nonlinear Systems written by Saman Behtash and published by . This book was released on 1988 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Linear Feedback Stabilization of Nonlinear Systems

Download or read book Linear Feedback Stabilization of Nonlinear Systems written by J.-H. Fu and published by . This book was released on 1991 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Linear Feedback Stabilization of Nonlinear Systems with an Uncontrollable Critical Mode

Download or read book Linear Feedback Stabilization of Nonlinear Systems with an Uncontrollable Critical Mode written by and published by . This book was released on 1992 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear feedback stabilization of nonlinear systems is studied for systems whose linearization at an equilibrium point possesses a simple critical mode that is uncontrollable. The results complement previous work on the synthesis of nonlinear stabilizing control laws. The present work addresses continuous-time systems for which the linearization has either a simple zero eigenvalue or a pair of simple pure imaginary eigenvalues. Both the stability analysis and stabilizing control design employ results on stability of bifurcations of parametrized systems.

Book Advances and Applications in Nonlinear Control Systems

Download or read book Advances and Applications in Nonlinear Control Systems written by Sundarapandian Vaidyanathan and published by Springer. This book was released on 2016-03-17 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reports on the latest advances and applications of nonlinear control systems. It consists of 30 contributed chapters by subject experts who are specialized in the various topics addressed in this book. The special chapters have been brought out in the broad areas of nonlinear control systems such as robotics, nonlinear circuits, power systems, memristors, underwater vehicles, chemical processes, observer design, output regulation, backstepping control, sliding mode control, time-delayed control, variables structure control, robust adaptive control, fuzzy logic control, chaos, hyperchaos, jerk systems, hyperjerk systems, chaos control, chaos synchronization, etc. Special importance was given to chapters offering practical solutions, modeling and novel control methods for the recent research problems in nonlinear control systems. This book will serve as a reference book for graduate students and researchers with a basic knowledge of electrical and control systems engineering. The resulting design procedures on the nonlinear control systems are emphasized using MATLAB software.

Book Feedback Systems

Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

Book International Aerospace Abstracts

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1990 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: