Loopshaping by quadratic constraints on open-loop transfer functions
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The purpose of this note is to propose to execute loopshaping by imposing quadratic constraints on open-loop transfer functions. Quadratic constraints are defined to be consistent with feedback stable systems. Then, a robust stability analysis and a loopshaping method under quadratic constraints on open-loop transfer functions are given. Our results provide a general robustness of feedback systems in terms of open-loop transfer functions, including robustness based on gain and phase margins.
KeywordsFeedback System Robust Stability Phase Margin Quadratic Constraint Feedback Stability
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