Robust sliding mode harmonic oscillator suitable for low frequencies

Sliding mode control technique, including recently developed integral sliding mode control, is used to robustly stabilize the amplitude and frequency of the output of a second-order harmonic oscillator system. It is shown that the output of the proposed configuration is a sinusoidal signal whose amplitude and frequency are robust to bounded disturbances. The structure of the proposed sliding mode controlled oscillator is appropriate to generate low frequency sinusoidal oscillations. A computer simulation is performed to manifest the theoretical analysis.