Abstract: This paper presents an approximate analytical solution for the weakly nonlinear closed-loop dynamics of the sliding phase of a sliding mode controlled rotary inverted pendulum based on the ...

Abstract: We analyze a model of a freight car using asymptotic methods and obtain a formula for the critical speed that is valid over a wide range of warp stiffnesses. We also discuss corrections to ...

Abstract: An analytical stability analysis of the steady trajectory for a surface vessel with various damping models is presented in this work. The analysis is based on a control-oriented, three ...