The correct answer is command economy.
China maintained a command economy for decades before transitioning to a mixed economy that features both communistic and capitalistic elements.
A command economy is controlled by the government and not the free market. The government determines what goods should be produced, how many of them and at what price. Command economies exist in communist or socialist states such as the former Soviet Union, North Korea, Cuba and China.
Another term for China's economy is socialist market economy. China has a mix of government-owned businesses as well as tightly controlled private businesses.