Stability Analysis of A Class of Second-Order Phase Plane Control Systems: A Simulation Study

This paper investigates the stability analysis problem for a class of second-order phase plane control (PPC) systems via computer simulation. Due to the PPC method's nonlinearities arising from state-dependent switching and periodic sampling, the stability analysis problem of the closed-loop PPC system is very difficult even for the second-order linear system. In this paper, we aim at studying the stability of a class of second-order PPC systems by proposing a so-called globally uniformly ultimate boundedness (GUUB) conjecture based on the computer simulation results. In particular, to a certain extent, the future proof of this conjecture will further promote the development of the stability analysis of general sampled-data switched control systems.