Design and Analysis of non-linear Circuit with Tunnel Diode for Hybrid Control Systems

Electric circuits with tunnel diode's represent a classical example of dynamic systems with nonlinearities, which feature piecewise negative damping and multiple equilibria and, as consequence, nontrivial trajectories in the state-space. In this paper, we describe the experimental design and analysis of an electrical circuit, including a tunnel diode, allowing for a storage behavior with bistable output voltage states - low and high. The system is modeled for simulation and an experimental setup is designed and implemented in order to run a formal verification on different tools, applying a variety of hybrid control methods. The nonlinear diode's characteristic curve is experimentally determined and evaluated. The transient response of circuit is also analyzed. Furthermore the circuit is controlled in an open loop manner, by a biased sequence of pulse signals, showing a bistable switching behavior of the output voltage state.