Chattering reduction using multiphase sliding mode control

For the system with sliding mode controllers operated by on/off switches, 'chattering' appears in the output of the system when its switching frequency is restricted. In power systems, the switching frequency is commonly limited to prevent power losses, and chattering or 'ripple' appears especially in the system current. Common methods to decrease such ripple are based on 'harmonic cancellation' using the multiple number of phase channels having the desired phase shift that brings cancellation in the sum of outputs from the individual channels. In this article, a design principle of sliding mode control for a multiphase controller is proposed. The methodology is originated from the concept of multidimensional sliding mode and provides desired phase shifts between phases with the help of adaptive width for the hysteresis loops in switching elements. The chattering suppression effect is demonstrated by simulations for the DC-DC converter systems in various situations.