Frequency Domain Design

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In this chapter we continue to explore the use of frequency domain techniques with a focus on the design of feedback systems. We begin with a more thorough description of the performance specifications for control systems and then introduce the concept of “loop shaping” as a mechanism for designing controllers in the fre- quency domain. Additional techniques discussed in this chapter include feedforward compensation, the root locus method, and nested controller design.

Contents

  1. Sensitivity Functions
  2. Performance Specifications
    • Response to Reference Signals
    • Response to Load Disturbances and Measurement Noise
    • Measuring Specifications
  3. Feedback Design via Loop Shaping
    • Design Considerations
    • Lead and Lag Compensation
  4. Feedforward Design
    • Combining Feedforward and Feedback
    • Difficulties with Feedforward
    • Approximate Inverses
  5. The Root Locus Method
  6. Design Example
  7. Further Reading
Exercises