Integral and Second Order Sliding Mode Control of Harmonic Oscillator

A typical second order Harmonic Oscillator is controlled using both traditional and higher order Sliding Mode Control (SMC). Integral sliding mode control is used to compensate for the bounded disturbances improving the robustness of the controlled Harmonic Oscillator. The advantages of the higher order SMC over the traditional one i.e., control continuity and improved accuracy are shown. A computer simulation is performed to manifest the theoretical analysis.