With the progress of science and technology and the demand of people for material life, smart home appliances have become an inevitable trend of the development of household appliances in the future. In the face of widely used inverter air conditioner and its fast temperature regulation demand for closed indoor environment, the design of fuzzy neural network controller with inverter air conditioner is designed on the basis of setting up the transfer function model of indoor temperature and

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... onment, which is compared with traditional PID and its fuzzy control by simulation and verification. The speed and stability of adjusting the temperature of closed indoor rooms have achieved better results. Foreword It is required that the comfort of the air conditioner is more and more comfortable for the room temperature control, not only the control of the air conditioner can't be cold and hot, but also it can't have a larger overshoot of temperature. For the inverter air conditioner, the air conditioner manufacturer does not allow the temperature to have overshoot. This is not only to improve the comfort of temperature control, but also to increase the energy efficiency ratio of air conditioners and make the air conditioners more energy efficient. For the adjustment time of the control, the air conditioner manufacturers to adjust time is greater than or equal to the control room air equivalent coefficient of the first-order inertia link and temperature control of the delay time of the sum of the time factor, and less than or equal to 4 times of air coefficient of the first-order link delay time coefficient of temperature control and the sum of the time[1]. Because of this large inertia and pure delay system, it is difficult to achieve no overshoot in traditional PID control. Therefore, this paper gives a temperature control system based on fuzzy neural network algorithm, which adjusts the temperature of the room and the working frequency of the air conditioner, realizes the room temperature control without overshoot, reduces the energy consumption of the air conditioner and improves the reliability and life of the frequency conversion air conditioner. Establishment of Mathematical Model for Temperature Control of Indoor Air Conditioner System In order to make the transfer function of indoor air easy to deal with and better stability, the temperature control system of indoor frequency conversion air conditioner is simplified as a first order inertial link and a delay link [2] . The smaller inertia coefficient of the metal parts of the air conditioner is added to the larger inertia coefficient of the indoor air to form a first order inertia ring. The transfer coefficient of the inertial ring is K1. The equivalent formula of the first order inertial link is as follows: 115