Control Systems/Print version

__NOTOC__ __NOEDITSECTION__ Control Systems Preface Table of Contents Introduction to Control Systems What are control systems? Why do we study them? How do we identify them? The chapters in this section should answer these questions and more. Introduction System Identification Digitally and Analogy System Metrics System Modeling Classical Controls The classical method of controls involves analysis and manipulation of systems in the complex frequency domain. This domain, entered into by applying the Laplace or Fourier Transforms, is useful in examining the characteristics of the system, and determining the system response. Transform's Transfer Functions Sampled Data Systems System Delays Poles and Zeros Modern Controls The modern method of controls uses systems of special state-space equations to model and manipulate systems. The state variable model is broad enough to be useful in describing a wide range of systems, including systems that cannot be adequately described using the Laplace Transform. These chapters will require the reader to have a solid background in linear algebra, and multi-variable calculus. State-Space Equations Solutions for Linear Systems Time-Variant System Solutions Digital State-Space Eigenvalues and Eigenvectors MIMO Systems System Realization System Representation Systems can be represented graphically in a number of ways. Block diagrams and signal-flow diagrams are powerful tools that can be used to manipulate systems, and convert them easily into transfer functions or state-space equations. The chapters in this section will discuss how systems can be described visually, and will also discuss how systems can be interconnected with each other. Gain Block Diagrams Feedback Loops Signal Flow Diagrams Bode Plots Nichols Charts Stability System stability is an important topic, because unstable systems may not perform correctly, and may actually be harmful to people. There are a number of different methods and tools that can be used to determine system stability, depending on whether you are in the state-space, or the complex domain. Stability Introduction to Digital Controls Routh-Hurwitz Criterion Jury's Test Root Locus Nyquist Criterion State-Space Stability Controllers and Compensators There are a number of preexisting devices for use in system control, such as lead and lag compensators, and powerful PID controllers. PID controllers are so powerful that many control engineers may use no other method of system control! The chapters in this section will discuss some of the common types of system compensators and controllers. Controllability and Observability System Specifications Controllers and Compensators Advanced Topics The following chapters are going to begin exploration into more advanced topics, such as nonlinear systems, and noise-driven systems. Currently, this book does not cover these subjects or any other advanced topics with any measure of completeness. Nonlinear Systems Common Nonlinearities Noise Driven Systems Appendicies Appendix 1: Physical ModelsAppendix 2: Z-Transform MappingsAppendix 3: TransformsAppendix 4: System RepresentationsAppendix 5: MATLAB Appendix: Physical Models Appendix: Z Transform Mappings Appendix: Transforms System Representations Matrix Operations Appendix: MATLAB GlossaryResourcesLicensing 1) Glossary2) List of Equations3) Resources and Bibliography4) Licensing5) GNU Free Documentation License Glossary and List of Equations List of Equations Resources and Further Reading --> Licensing License: GFDL