## 1 Introduction  
Microwave heating has become a popular and efficient method for processing materials, food, ceramics [1, 2], metallurgy [3, 4], etc. The factors that influence the effectiveness of microwave heating equipment include the shape of the microwave heating chamber [5], the number of microwave sources, the frequency of the microwave source [6], the mode stirrer, and the electric turntable. Additionally, the material's properties [7] can also impact the microwave heating process. Some scholars have tried to mix materials for heating due to varying microwave absorption. [PERSON] et al. [8] modified carbon materials using nitrogen doping technology and prepared biomass-based nitrogen-doped porous carbon with excellent microwave absorption performance. [PERSON] et al. [9] explained the elements of microwave technology and the practical issues associated with processing using microwaves. These methods have excellent temperature uniformity but require specific material and morphology. Researchers have optimized the microwave heating effect by designing the cavity shape [5] to control electromagnetic field distribution. [PERSON] et al. [10] discussed that elliptical polarized microwave fields enhance microwave energy efficiency. The cost of projecting the microwave heating chamber design is relatively high, and it is mainly used in the particular processing industry. [PERSON] et al. [11] demonstrated that the uniformity of material temperature varies with different orientations and angles on the electric turntable, as well as with and without rotation of the electric turntable. [PERSON] et al. [12] further demonstrated that different motion modes of electric turntables could improve the uniformity and thermal efficiency of microwave heating. The electric turntable enhances the uniform electromagnetic field distribution within the material, while the mode stirrer alters the electromagnetic field distribution within the microwave equipment through its rotation. In contrast, some researchers favor the mode stirrer. [PERSON] et al. [13] optimized the uniformity of biodiesel temperature in a microwave reactor using the mode stirrer. [PERSON] et al. [14] proposed the dual pendulum structure mode stirrer to improve microwave heating uniformity. Microwave energy loss occurs due to heat transfer between the electric turntable, the mode stirrer, and the material. To avoid the drawbacks, some scholars have used multi-microwave sources to optimize power output and improve heating efficiency and temperature uniformity. [PERSON] et al. [15] optimized the uniformity of microwave electromagnetic fields using multiple microwave sources. [PERSON] et al. [16] optimized the temperature uniformity of materials by dynamically planning the power output state characteristics of multi-microwave sources. [PERSON] et al. [17] found metal inserts have enabled a uniform distribution of electromagnetic fields in the multi-source microwave heating cavity. The above literature used multiple magnetrons to construct a multi-microwave sources intelligent agent system [2; 16] but did not consider the multi-microwave sources intelligent agent network communication issue. The event-triggered theory is widely used in network communication among multi-agent systems. [PERSON] et al. [18] Based on the Lyapunov function, a new mechanism for triggering events was designed to establish the relationship between system switches and event-triggered and eliminate the Zeno phenomenon. [PERSON] et al. [19] A hybrid method based on static/exchange-oriented network sampling data has been discovered to achieve multi-agent consensus. In multi-source microwave network communication systems, network attacks are bound to occur. Denial-of-service (DoS) attacks represent standard network attack methods that block network communication. [PERSON] et al. [20] developed an elastic model-free adaptive control method to resist communication delays and DoS attacks of a class of nonlinear multi-agent systems. [PERSON] et al.