## 1 Introduction
However, due to the specific network forms targeted, the proposed methods are difficult to apply to general wireless communication networks, limiting its universality. Reference [15] introduces a stability control algorithm based on switched systems and multiple Lyapunov functions, which can adaptively adjust modulation and coding schemes as well as transmission power according to jamming conditions, thereby improving BER performance and maintaining system stability. However, for more complex electromagnetic environments, simple state feedback controllers may not provide sufficient stability guarantees and convergence speed. Table 1 shows the advantages and disadvantages of existing algorithms. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**References**} & **Application** & \multirow{2}{*}{**Advantages**} & \multirow{2}{*}{**Disadvantages**} \\  & **Scenarios** & & \\ \hline \multirow{4}{*}{[6; 7; 8; 9]} & Single-domain or & & \\  & simple multi-domain & & \\  & anti-jamming & & \\  & scenarios & & \\ \hline \multirow{4}{*}{[10; 11; 12]} & Complex & & \\  & anti-jamming & & \\  & scenarios & & \\  & & high-dimensional & \\  & & state spaces & \\ \hline \multirow{4}{*}{[14; 15]} & Conventional & \multirow{2}{*}{
\begin{tabular}{c} Fast convergence, \\ \end{tabular} } & Limited generalizability, \\  & jamming & strong robustness & ineffective against unknown \\ \cline{1-1}  & & malicious jamming & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Overview of the advantages and disadvantages of existing algorithms. This paper introduces optimal control and proposes a multi-parameter control anti-jamming algorithm for wireless communication systems based on system dynamic descriptions, which does not rely on known system parameters. This approach enhances transmission reliability and achieves effective anti-jamming communication in rapidly varying unknown jamming environments. Specifically, the innovations of this paper can be summarized as follows:  
1. To address the complexity associated with simultaneous adjustment of power and modulation coding in communication systems, this paper introduces a modeling approach based on linear switching systems. By employing stability analysis theory, control rules based on the signal-to-jamming-and-noise ratio (SJNR) are formulated, which delineate switching intervals and correspondingly match modulation and coding schemes, thereby effectively reducing system complexity. 2. In the subsystem, the Linear-Quadratic Regulator (LQR) is introduced for power control to achieve the rapid stabilization of the bit error rate under burst interference. Additionally, the multiple Lyapunov function method is employed to optimize stability rules by constructing a corresponding Lyapunov function for each modulation and coding scheme, thereby reducing the conservativeness of the stability rules. The structure of this paper is organized as follows: Section 2 describes the problem and system modeling methods; Section 3 provides a detailed design of the feedback controller in the subsystem; Section 4 presents the sufficient conditions for stability control rules; Section 5 details the methodology and steps of the algorithm, along with the system flowchart; Section 6 conducts comprehensive experiments under three types of jamming; and Section 7 summarizes the paper and presents the conclusions.