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在文献[1]中笔者曾提出多容过程降阶的频率法,可是还存在着如下问题: (1)此法仅限用于可用K/П i=1 (τ_iS+1)所表示的过程,若为高阶过程,如 G_p(S)=(a_lS~l+a_(l-)/(b_nS~n+b_(n-1);(S~(l-1)+…+a_1S+1)/(S~(n-1)+…+b_1S+1)怎样降阶为e~(-LS)/(TS+1)的问题,还需进一步研究解决; (2)文献[1]所采用的降价准则是在零频和转折频率1/T处使被降阶过程传递函数G_p(S)与降阶后的过程模型Ke~(-LS)/(TS+1)有相同的频率特性的幅值与相角,可是过程在系统中实际的工作频率往往超过转折频率,因此文献[1]的方法仅是低频域内的逼近,为此还需进一步改进;
In literature [1], the author proposed the frequency reduction method of multi-capacity process. However, the following problems still exist: (1) This method is only applicable to the process represented by K / П i = 1 (τ_iS + 1) , For high-order processes, G_p (S) = (a_lS ~ l + a_ (l -) / (b_nS ~ n + b_ (n-1); (S ~ (l -1) + ... + a_1S + 1 ) / (S ~ (n-1) + ... + b_1S + 1) is reduced to e ~ (-LS) / (TS + 1) The price cut criterion adopted is that the reduced order process transfer function G_p (S) has the same frequency characteristics as the reduced order process model Ke ~ (-LS) / (TS + 1) at zero frequency and corner frequency 1 / T However, the actual operating frequency of the process in the system often exceeds the turning frequency. Therefore, the method in [1] is only the approximation in the low frequency range, so further improvement is needed.