In controller design, the classical control techniques have their distinct advantages and capabilities. The Integral Sliding Mode Control (ISMC) leverages the merits of such control techniques by allowing their merger with the sliding mode control (SMC). ISMC is composed of two components a nominal control designed using any methodology and a discontinuous SMC, and thus the system can have specified performance with high degree of robustness. The proposed work achieves multiple objectives i.e. mitigates 2w-ripple, ensures robustness and improves dynamic performance. The proposed ISM based controller amalgamates SMC with a new dual loop adaptive PID control (as the nominal control). The discontinuous SMC part ensures robustness against the matched uncertainty i.e. disturbances entering through the input channel such as parametric variations, exogenous disturbances, modeling-error, and the nominal control mitigates 2w-ripple at the input of DC-DC-AC converter. Moreover, the adaptive nature of nominal control improves the system performance at the large line load transients unlike the conventional control. Furthermore, the proposed controller supports the reduction of 2w-ripple at the input of converter. The proposed control scheme is validated using 1 kW-prototype.