Stability conditions for a digital discrete-time non-Foster circuit element

Digital discrete-time implementations of non-Foster circuit elements offer an alternative to conventional analog circuit approaches. In particular, the design of a discrete-time negative capacitor is investigated, since such non-Foster circuit elements offer significant potential in wideband antenna, metamaterial, and artificial magnetic conductor applications. As with analog non-Foster circuits, stability is an important design consideration for digital non-Foster elements. Therefore, stability conditions and simulation results are presented for a discrete-time negative capacitor, and the onset of instability is shown near the predicted stability boundary.

[1]  Joseph S. Colburn,et al.  Wideband Artificial Magnetic Conductors Loaded With Non-Foster Negative Inductors , 2011 .

[2]  D.S. Naidu,et al.  Digital control system analysis and design , 1986, Proceedings of the IEEE.

[3]  Igor Krois,et al.  Ultra-broadband simultaneous superluminal phase and group velocities in non-Foster epsilon-near-zero metamaterial , 2013 .

[4]  J. S. Colburn,et al.  Wideband Artificial Magnetic Conductors Loaded With Non-Foster Negative Inductors , 2011, IEEE Antennas and Wireless Propagation Letters.

[5]  Daniel F. Sievenpiper,et al.  Broadband Fast-Wave Propagation in a Non-Foster Circuit Loaded Waveguide , 2014, IEEE Transactions on Microwave Theory and Techniques.

[6]  Ryan S. Adams,et al.  Performance of digital discrete-time implementations of non-Foster circuit elements , 2015, 2015 IEEE International Symposium on Circuits and Systems (ISCAS).

[7]  S. D. Stearns Incorrect stability criteria for non-foster circuits , 2012, Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation.

[8]  W. Marsden I and J , 2012 .