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Vehicle rollover has the highest fatality rate among non-collision vehicle crashes. This paper introduces a control scheme with electronically controlled limited slip differential (ELSD) to prevent vehicle rollover. Although the analysis focuses on only an un-tripped and on-road scenario which is a small portion of vehicle rollover accidents, it intends to minimize the dynamic rollover propensity by meeting the National Highway Traffic Safety Administration's (NHTSA) fishhook test. A nonlinear model of planar vehicle dynamics with roll motion is analyzed, and the general characteristics of ELSD are presented. Based on that, a rollover mitigation algorithm is proposed. Finally, a computer simulation demonstrates the effectiveness of the rollover mitigation algorithm.