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本文根据减摇鳍设计中的问题,提出了 PID 调节器的参数优化设计。文章首先确定了理论的 PID 调节器的数学模型,接着又提出了行之有效的实际的 PID 调节器的数学模型。实际模型中积分器用惯性环节代替,而微分器是用间接微分器。参数最优化准则是使实际模型和理论模型之间的加权幅频特性误差最小,同时也照顾了参数的抗干扰能力。参数寻优利用单纯形寻优技术。文章给出了寻优的程序框图和仿真结果,仿真结果在实际设计中得到了满意的应用,文章在叙述过程中举了一个实际应用的例子。本文的 PID 调节器的参数优化方法对其它控制系统的 PID 调节器设计也有参考意义。
In this paper, based on the problem of fin stabilizer design, the parameter optimization design of PID regulator is proposed. First of all, the article determines the mathematical model of PID regulator, and then puts forward the effective mathematical model of PID regulator. The integrator is replaced by the inertia in the actual model, while the differentiator is an indirect differentiator. The parameter optimization criterion is to minimize the error of the weighted amplitude-frequency characteristic between the actual model and the theoretical model, and also take care of the anti-interference ability of the parameters. Parameter optimization using simplex optimization technique. The article gives the optimized block diagram and simulation results. The simulation results have been satisfactorily applied in practical design. The article gives an example of practical application in the process of narration. The parameter optimization method of the PID regulator in this paper is also of reference to the PID regulator design of other control systems.