An Introduction to Nonlinearity in Control Systems
Publisher: Bookboon
Published: 2013
ISBN-13: 9788776817909
Table of contents: title: Introduction; title: What is nonlinearity?; title: Forms of nonlinearity; title: Structure and Behaviour; title: Overview of contents; title: References; title: The Phase Plane Method; title: Introduction; title: Basic Principles; title: The Phase Plane for Systems with Linear Segmented Nonlinearities; title: Conclusions; title: References; title: Bibliography; title: The Describing Function; title: Introduction; title: The Sinusoidal Describing Function; title: Some Properties of the DF; title: The Evaluation of some DFs; title: Nonlinear Models and DFs; title: Harmonic Outputs; title: Sine plus Bias DF and the IDF; title: Conclusions; title: References; title: Bibliography; title: Appendix -Tables of Describing Functions; title: Stability and Limit Cycles using th e DF; title: Introduction; title: Limit Cycle Evaluation; title: Stability of a Predicted Limit Cycle; title: DF Accuracy; title: Some Examples of Limit Cycle Evaluation; title: More than one Nonlinear Element; title: Applications of SBOF to find Limit Cycles; title: Conclusions; title: Bibliography; title: The SSDF and Harmonically Forced Systems; title: Introduction; title: The Cubic Nonlinearity with Two Sinusoidal Inputs; title: Modified Nonllnearltles and the SSDF; title: The IDF for Related Signals; title: More Accurate Determination of Limit Cycles; title: Closed Loop Frequency Response; title: Jump Resonance; title: Conclusions; title: References; title: Limit cycles in relay systems; title: Introduction; title: The Frequency Domain Approach; title: Properties and Evaluation of A loci; title: Solving for Limit Cycles; title: Limit Cycle Stability; title: Some Interesting Limit Cycle Problems; title: Forced oscillations; title: Conclusions; title: References; title: Appendix; title: Controlle r Tuning from Relay Produ ced Limit Cycles; title: Introduction; title: Knowledge from the Limit Cycle; title: Tuning the Controller; title: Autotuning using the Relay in Parallel with the Controller; title: Conclusions; title: References; title: Absolute Stability Results; title: Introduction; title: Lyapunov's Method; title: Application of Lyapunov's Method; title: Definitions and Loop Transformations; title: Frequency Domain Criteria; title: Examples; title: Conclusions; title: References; title: Bibliography; title: Design of Nonlinear Control Systems; title: Introduction; title: Linearization; title: Frequency Response Shaping; title: Nonlinear Compensation; title: Compensation using DF Models; title: Time Optimal Control; title: Sliding Mode Control; title: Fuzzy Logic; title: Neural Networks; title: Exact Linearization; title: General Comments; title: References