Algorithm 2. Stochastic simulation algorithm

Step (1): According to the target motion equation ${\xi }_{q,k+1|k}=F\times {\xi }_{q,k}$ under zero process noise, predict the state vector ${\xi }_{q,k+1|k}$ at the $k+1$ moment;.

Step (2): Initialize population S and stain length N, then verify the feasibility of chromosomes using random simulation.

Step (3): Hybridize and mutate chromosomes, use random simulation to verify whether the chromosomes meet the constraints, and correct those chromosomes that do not meet the constraints.

Step (4): Calculate the objective function value of all chromosomes, and calculate the fitness function value of each stain according to the objective function value.

Step (5): Use roulette to select chromosomes. If the requirements of the stopping rules are not met, go to (3). If the stopping rules are met, go to step (6).

Step (6): Returns the best chromosome as the optimal radar transmit power $P_{q,k+1,opt}^i$.