Passivity Margin and Related Bounds for Linear Systems

@article{Psillakis2005PassivityMA,
  title={Passivity Margin and Related Bounds for Linear Systems},
  author={H. E. Psillakis and A. T. Alexandridis},
  journal={Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation Intelligent Control, 2005.},
  year={2005},
  pages={785-790}
}
The concept of passivity margin is introduced and analyzed through the Lyapunov equation of the Kalman-Yacubovich-Popov lemma. Furthermore, using an extensive mathematical analysis, bounds for this margin are obtained for both the cases of SISO and MIMO systems. In the first case it is proven that an upper bound of the passivity margin is the minimum of either i) the absolute value of the real part of the maximum stable pole of the system or ii) the difference between the sum of the real parts… CONTINUE READING