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Control Systems/Digital Systems/Print version
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Control Systems/Digital Systems
Preface
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
Digital and Analog
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.
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.
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
Discrete Time Stability
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
Compensators
Appendicies Appendix 1: Physical ModelsAppendix 2: Z-Transform MappingsAppendix 3: TransformsAppendix 4: System RepresentationsAppendix 5: MatLab
Appendix: Physical Models
Appendix: Z Transform Mappings
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