12: Control Systems – Loopshaping
- Page ID
- 47292
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- 12.1: Introduction to Loopshaping
- Overview of the steps of loopshaping; establishes chapter's focus on single-input, single-output systems.
- 12.2: Roots of Stability – Nyquist Criterion
- Application of the mapping theorem to a feedback system, and its translation to the Nyquist stability criterion. Measuring robustness of the model on the Nyquist plot.
- 12.3: Design for Nominal Performance
- Performance requirements of a nominal-plant model feedback controller, in terms of the Nyquist plot.
- 12.4: Design for Robustness
- Using the multiplicative uncertainty to reduce the degree of a plant model's degradation over time.
- 12.5: Robust Performance
- Determining whether a system performs well, in terms of both robustness and nominal performance, through graphical and numerical methods.
- 12.6: Implications of Bode’s Integral
- The relationship between slope steepness in the crossover region and phase loss/phase margin for a loop transfer function, as demonstrated through Bode's Integral.
- 12.7: The Recipe for Loopshaping
- Steps for obtaining the compensator component \(C\) of the open loop transfer function \(PC\) discussed in the previous sections.