International Journal of Bifurcation and Chaos · 1996 · 13 citations · 0 references
Nonlinear ControlSingularly Perturbed ProblemPeriodic OrbitsFirst Harmonic ApproachSystem StabilityLinear SystemPlanar Linear SystemsBifurcation TheoryLinear ControlControllabilityStability
A first harmonic approach (describing function method) is used here to analyze the dependence of periodic orbits on the control parameters of planar linear systems with single saturated feedback. It is shown that, if the open-loop system has at least one unstable eigenvalue, periodic orbits converge monotonically to an unstable equilibrium point as the control gains go to infinity.