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Determination of Limit-cycles in Nonlinear Discrete-time Automatic Control Systems by Use of the Discrete Galerkin Method
Essentials of Nonlinear Control Theory
Author: James R. Leigh
Publisher: IET
Published: 1983
Total Pages: 108
ISBN-13: 9780906048962
DOWNLOAD EBOOK →The following topics are dealt with: nonlinearity: dynamic systems; describing function method; phase plane portrait; linearisation ;nonlinear second-order system linearisation; envelope methods; Limit cycles; relaxation oscillations; Lienard's equation; gradient systems and system decomposition.
Analysis of Limit Cycle Stability and Control for Nonlinear Systems
Author: Shakya Ashish Kumar
Publisher: LAP Lambert Academic Publishing
Published: 2015-11-23
Total Pages: 72
ISBN-13: 9783659802768
DOWNLOAD EBOOK →In this book study of stability and robustness of limit cycles in nonlinear systems in the presence of uncertainties when the nonlinearities are present in the feedback and feed-forward path is explained. Describing function method is a well known method for prediction and stability investigation of limit cycle. With the help of Describing function method limit cycles characteristics can be determined (amplitude and frequency of oscillation). In this book, Barkhausen characteristics equation has been used to investigate the robustness of the limit cycle of Lur'e system. Further a designing procedure of a robust controller is explained to control the characteristics of limit cycle in the presence of uncertainties.
Nonlinear and Optimal Control Systems
Author: Thomas L. Vincent
Publisher: John Wiley & Sons
Published: 1997-06-23
Total Pages: 584
ISBN-13: 9780471042358
DOWNLOAD EBOOK →Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.
An Iterative Technique for Determination of Limit Cycles in Nonlinear Systems
Author: William Charles Wagner
Publisher:
Published: 1973
Total Pages: 132
ISBN-13:
DOWNLOAD EBOOK →Nonlinear Control Systems
Author: Zoran Vukic
Publisher: CRC Press
Published: 2003-02-04
Total Pages: 410
ISBN-13: 9780203912652
DOWNLOAD EBOOK →This text emphasizes classical methods and presents essential analytical tools and strategies for the construction and development of improved design methods in nonlinear control. It offers engineering procedures for the frequency domain, as well as solved examples for clear understanding of control applications in the industrial, electrical, process, manufacturing, and automotive industries. The authors discuss properties of nonlinear systems, stability, linearization methods, operating modes and dynamic analysis methods, phase trajectories in dynamic analysis of nonlinear systems, and harmonic linearization in dynamic analysis of nonlinear control systems operating in stabilization mode.
Applied Nonlinear Control
Author: Jean-Jacques E. Slotine
Publisher:
Published: 1991
Total Pages: 461
ISBN-13: 9780130400499
DOWNLOAD EBOOK →In this work, the authors present a global perspective on the methods available for analysis and design of non-linear control systems and detail specific applications. They provide a tutorial exposition of the major non-linear systems analysis techniques followed by a discussion of available non-linear design methods.
Limit Cycles in a Certain Class of Samplieddata Control Systems
Author: Ronald A. WERNER
Publisher:
Published: 1964
Total Pages: 97
ISBN-13:
DOWNLOAD EBOOK →This paper discusses periodic, unforced solutions (called limit cycle solutions) to the state and output equations of a certain class of nonlinear sampled-data control systems. The class of systems consists of a linear plant, a single nonlinearity, a sample and hold element and a single feedback loop. Two different methods are given for determining the possible existence and the solutions for the limit cycles. An approximate method for determining possible existence and output solutions for limit cycles is also given. Finally, a certain kind of stability of limit cycle solutions is defined, and sufficient conditions for the stability and instability of limit cycles are developed. (A limit cycle is defined as a periodic trajectory in state space; i.e., it is an unforced, periodic, steady state solution to the state space equations of the system.).
Nonlinear Systems and Controls
Author: Jürgen Adamy
Publisher: Springer Nature
Published: 2024
Total Pages: 760
ISBN-13: 3662686902
DOWNLOAD EBOOK →Zusammenfassung: This textbook provides a clear introduction to the theory and application of nonlinear systems and controls. The author explains the methods of nonlinear control, which are known from control theory research and are becoming increasingly important in industrial applications. The fundamentals of nonlinear dynamics, stability theory, controllability, nonlinear control of linear and nonlinear systems, and nonlinear state transformations are covered. Furthermore, the concepts of observability and the theory and application of nonlinear observers are described. The main features of the book are the comprehensive presentation of the theory, excellent comprehensibility, many example applications, and more than a hundred exercises with solutions, which are illustrated by numerous color diagrams. This book is aimed at advanced engineering students and engineers in industry
