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Homogeneous Charge Compression Ignition (HCCI) and Spark Ignition (SI) dual-mode operation provides a practical solution to apply HCCI combustion in gasoline engines. However, the different requirements of air-fuel ratio and EGR ratio between HCCI combustion and SI combustion results in enormous control challenges in HCCI/SI mode switch. In this paper, HCCI combustion was achieved in a four-cylinder gasoline direct injection engine without knock and misfire using close-loop control by knock index. Assisted Spark Stratified Compression Ignition (ASSCI) combustion was obtained stably at medium-high load. ASSCI combustion exhibits two-stage heat release with initial flame propagation and controlled auto-ignition. The knock index of ASSCI combustion is less than HCCI combustion due to the lower pressure rise rate.