Loopshaping by quadratic constraints on open-loop transfer functions
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
Unable to display preview. Download preview PDF.
- M. Vidyasagar: Nonlinear Systems Analysis 2nd Ed., Prentice Hall (1993)Google Scholar
- J. C. Doyle, B. A. Francis and A. R. Tannenbaum: Feedback Control Theory; Macmillan Publishing Company (1992)Google Scholar
- K. Zhou with J. C. Doyle and K. Glover: Robust and Optimal Control, Prentice Hall (1996)Google Scholar