{"id":111054,"date":"2026-09-30T07:00:44","date_gmt":"2026-09-29T23:00:44","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/111054.html"},"modified":"2026-09-30T07:00:44","modified_gmt":"2026-09-29T23:00:44","slug":"c%e4%bb%a3%e7%a0%81%e5%ae%9e%e7%8e%b0matlab%e4%b8%ad%e7%9a%84ssdata%e5%87%bd%e6%95%b0%e5%8a%9f%e8%83%bd","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/111054.html","title":{"rendered":"C++\u4ee3\u7801\u5b9e\u73b0MATLAB\u4e2d\u7684ssdata\u51fd\u6570\u529f\u80fd"},"content":{"rendered":"

\/\/ ssdata.cpp<\/span>
\n\/\/ \u7f16\u8bd1: g++ -std=c++11 -O2 ssdata.cpp -o ssdata<\/span>
\n\/\/ \u8fd0\u884c: .\/ssdata (Linux\/macOS) \u6216 ssdata.exe (Windows)<\/span><\/p>\n

#<\/span>include<\/span> <iostream><\/span><\/span>
\n#<\/span>include<\/span> <vector><\/span><\/span>
\n#<\/span>include<\/span> <iomanip><\/span><\/span>
\n#<\/span>include<\/span> <stdexcept><\/span><\/span>
\n#<\/span>include<\/span> <cmath><\/span><\/span>
\n#<\/span>include<\/span> <string><\/span><\/span><\/p>\n

\/\/ ============================================================<\/span>
\n\/\/ \u8f7b\u91cf\u77e9\u9635\u7c7b (\u4ec5\u5b9e\u73b0\u672c\u793a\u4f8b\u6240\u9700\u529f\u80fd, \u4e0d\u4f9d\u8d56\u4efb\u4f55\u7b2c\u4e09\u65b9\u5e93)<\/span>
\n\/\/ ============================================================<\/span>
\nclass<\/span> Matrix<\/span> {<\/span>
\npublic<\/span>:<\/span>
\n int<\/span> rows;<\/span>
\n int<\/span> cols;<\/span>
\n std::<\/span>vector<<\/span>double<\/span>><\/span> data;<\/span> \/\/ \u884c\u4f18\u5148\u5b58\u50a8<\/span><\/p>\n

Matrix<\/span>(<\/span>)<\/span> :<\/span> rows<\/span>(<\/span>0<\/span>)<\/span>,<\/span> cols<\/span>(<\/span>0<\/span>)<\/span> {<\/span>}<\/span><\/p>\n

Matrix<\/span>(<\/span>int<\/span> r,<\/span> int<\/span> c,<\/span> double<\/span> init =<\/span> 0.0<\/span>)<\/span>
\n :<\/span> rows<\/span>(<\/span>r)<\/span>,<\/span> cols<\/span>(<\/span>c)<\/span>,<\/span> data<\/span>(<\/span>r *<\/span> c,<\/span> init)<\/span> {<\/span>}<\/span><\/p>\n

double<\/span>&<\/span> operator<\/span>(<\/span>)<\/span>(<\/span>int<\/span> i,<\/span> int<\/span> j)<\/span> {<\/span> return<\/span> data[<\/span>i *<\/span> cols +<\/span> j]<\/span>;<\/span> }<\/span>
\n double<\/span> operator<\/span>(<\/span>)<\/span>(<\/span>int<\/span> i,<\/span> int<\/span> j)<\/span> const<\/span> {<\/span> return<\/span> data[<\/span>i *<\/span> cols +<\/span> j]<\/span>;<\/span> }<\/span><\/p>\n

static<\/span> Matrix Zero<\/span>(<\/span>int<\/span> r,<\/span> int<\/span> c)<\/span> {<\/span> return<\/span> Matrix<\/span>(<\/span>r,<\/span> c,<\/span> 0.0<\/span>)<\/span>;<\/span> }<\/span><\/p>\n

static<\/span> Matrix Identity<\/span>(<\/span>int<\/span> n)<\/span> {<\/span>
\n Matrix I<\/span>(<\/span>n,<\/span> n,<\/span> 0.0<\/span>)<\/span>;<\/span>
\n for<\/span> (<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> n;<\/span> ++<\/span>i)<\/span> I<\/span>(<\/span>i,<\/span> i)<\/span> =<\/span> 1.0<\/span>;<\/span>
\n return<\/span> I;<\/span>
\n }<\/span><\/p>\n

void<\/span> print<\/span>(<\/span>const<\/span> std::<\/span>string&<\/span> name)<\/span> const<\/span> {<\/span>
\n std::<\/span>cout <<<\/span> name <<<\/span> " =\\\\n"<\/span>;<\/span>
\n for<\/span> (<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> rows;<\/span> ++<\/span>i)<\/span> {<\/span>
\n for<\/span> (<\/span>int<\/span> j =<\/span> 0<\/span>;<\/span> j <<\/span> cols;<\/span> ++<\/span>j)<\/span> {<\/span>
\n double<\/span> v =<\/span> (<\/span>*<\/span>this<\/span>)<\/span>(<\/span>i,<\/span> j)<\/span>;<\/span>
\n if<\/span> (<\/span>std::<\/span>abs<\/span>(<\/span>v)<\/span> <<\/span> 1e-12<\/span>)<\/span> v =<\/span> 0.0<\/span>;<\/span> \/\/ \u6d88\u9664 -0 \u663e\u793a<\/span>
\n std::<\/span>cout <<<\/span> std::<\/span>setw<\/span>(<\/span>10<\/span>)<\/span> <<<\/span> std::<\/span>setprecision<\/span>(<\/span>6<\/span>)<\/span>
\n <<<\/span> std::<\/span>fixed <<<\/span> v;<\/span>
\n if<\/span> (<\/span>j +<\/span> 1<\/span> <<\/span> cols)<\/span> std::<\/span>cout <<<\/span> " "<\/span>;<\/span>
\n }<\/span>
\n std::<\/span>cout <<<\/span> "\\\\n"<\/span>;<\/span>
\n }<\/span>
\n }<\/span>
\n}<\/span>;<\/span><\/p>\n

\/\/ ============================================================<\/span>
\n\/\/ \u72b6\u6001\u7a7a\u95f4\u6a21\u578b\u7c7b (\u5bf9\u5e94 MATLAB ssdata \u7684\u529f\u80fd)<\/span>
\n\/\/ ============================================================<\/span>
\nclass<\/span> StateSpaceModel<\/span> {<\/span>
\npublic<\/span>:<\/span>
\n Matrix A,<\/span> B,<\/span> C,<\/span> D;<\/span>
\n double<\/span> Ts;<\/span> \/\/ \u91c7\u6837\u65f6\u95f4, 0 \u8868\u793a\u8fde\u7eed\u65f6\u95f4<\/span><\/p>\n

StateSpaceModel<\/span>(<\/span>)<\/span> :<\/span> Ts<\/span>(<\/span>0.0<\/span>)<\/span> {<\/span>}<\/span><\/p>\n

StateSpaceModel<\/span>(<\/span>const<\/span> Matrix&<\/span> A_,<\/span> const<\/span> Matrix&<\/span> B_,<\/span>
\n const<\/span> Matrix&<\/span> C_,<\/span> const<\/span> Matrix&<\/span> D_,<\/span>
\n double<\/span> Ts_ =<\/span> 0.0<\/span>)<\/span>
\n :<\/span> A<\/span>(<\/span>A_)<\/span>,<\/span> B<\/span>(<\/span>B_)<\/span>,<\/span> C<\/span>(<\/span>C_)<\/span>,<\/span> D<\/span>(<\/span>D_)<\/span>,<\/span> Ts<\/span>(<\/span>Ts_)<\/span> {<\/span>
\n validateDimensions<\/span>(<\/span>)<\/span>;<\/span>
\n }<\/span><\/p>\n

\/\/ \u4ece\u4f20\u9012\u51fd\u6570\u6784\u9020 (\u53ef\u63a7\u6807\u51c6\u578b), \u4ec5\u652f\u6301 SISO<\/span>
\n \/\/ num \/ den: \u7cfb\u6570\u4ece\u6700\u9ad8\u6b21\u5230\u6700\u4f4e\u6b21<\/span>
\n static<\/span> StateSpaceModel fromTransferFunction<\/span>(<\/span>const<\/span> std::<\/span>vector<<\/span>double<\/span>><\/span>&<\/span> num,<\/span>
\n const<\/span> std::<\/span>vector<<\/span>double<\/span>><\/span>&<\/span> den,<\/span>
\n double<\/span> Ts =<\/span> 0.0<\/span>)<\/span> {<\/span>
\n if<\/span> (<\/span>den.<\/span>empty<\/span>(<\/span>)<\/span> ||<\/span> std::<\/span>abs<\/span>(<\/span>den[<\/span>0<\/span>]<\/span>)<\/span> <<\/span> 1e-12<\/span>)<\/span>
\n throw<\/span> std::<\/span>invalid_argument<\/span>(<\/span>"Denominator leading coefficient must be non-zero."<\/span>)<\/span>;<\/span><\/p>\n

int<\/span> n =<\/span> static_cast<\/span><<\/span>int<\/span>><\/span><\/span><\/span>(<\/span>den.<\/span>size<\/span>(<\/span>)<\/span>)<\/span> –<\/span> 1<\/span>;<\/span> \/\/ \u7cfb\u7edf\u9636\u6570<\/span>
\n if<\/span> (<\/span>n <=<\/span> 0<\/span>)<\/span>
\n throw<\/span> std::<\/span>invalid_argument<\/span>(<\/span>"Transfer function must have order >= 1."<\/span>)<\/span>;<\/span><\/p>\n

\/\/ \u89c4\u8303\u5316\u5206\u6bcd<\/span>
\n std::<\/span>vector<<\/span>double<\/span>><\/span> a<\/span>(<\/span>den.<\/span>size<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n for<\/span> (<\/span>size_t i =<\/span> 0<\/span>;<\/span> i <<\/span> den.<\/span>size<\/span>(<\/span>)<\/span>;<\/span> ++<\/span>i)<\/span> a[<\/span>i]<\/span> =<\/span> den[<\/span>i]<\/span> \/<\/span> den[<\/span>0<\/span>]<\/span>;<\/span><\/p>\n

\/\/ \u5206\u5b50\u8865\u9f50\u5230 n+1 \u4f4d<\/span>
\n std::<\/span>vector<<\/span>double<\/span>><\/span> b<\/span>(<\/span>n +<\/span> 1<\/span>,<\/span> 0.0<\/span>)<\/span>;<\/span>
\n int<\/span> offset =<\/span> (<\/span>n +<\/span> 1<\/span>)<\/span> –<\/span> static_cast<\/span><<\/span>int<\/span>><\/span><\/span><\/span>(<\/span>num.<\/span>size<\/span>(<\/span>)<\/span>)<\/span>;<\/span>
\n for<\/span> (<\/span>size_t i =<\/span> 0<\/span>;<\/span> i <<\/span> num.<\/span>size<\/span>(<\/span>)<\/span>;<\/span> ++<\/span>i)<\/span>
\n b[<\/span>offset +<\/span> i]<\/span> =<\/span> num[<\/span>i]<\/span> \/<\/span> den[<\/span>0<\/span>]<\/span>;<\/span><\/p>\n

Matrix A =<\/span> Matrix<\/span>::<\/span>Zero<\/span>(<\/span>n,<\/span> n)<\/span>;<\/span>
\n Matrix B =<\/span> Matrix<\/span>::<\/span>Zero<\/span>(<\/span>n,<\/span> 1<\/span>)<\/span>;<\/span>
\n Matrix C =<\/span> Matrix<\/span>::<\/span>Zero<\/span>(<\/span>1<\/span>,<\/span> n)<\/span>;<\/span>
\n Matrix D =<\/span> Matrix<\/span>::<\/span>Zero<\/span>(<\/span>1<\/span>,<\/span> 1<\/span>)<\/span>;<\/span><\/p>\n

\/\/ \u53cb\u77e9\u9635\u5f62\u5f0f (\u53ef\u63a7\u6807\u51c6\u578b)<\/span>
\n for<\/span> (<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> n;<\/span> ++<\/span>i)<\/span>
\n A<\/span>(<\/span>n –<\/span> 1<\/span>,<\/span> i)<\/span> =<\/span> –<\/span>a[<\/span>n –<\/span> i]<\/span>;<\/span> \/\/ \u6700\u540e\u4e00\u884c<\/span>
\n for<\/span> (<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> n –<\/span> 1<\/span>;<\/span> ++<\/span>i)<\/span>
\n A<\/span>(<\/span>i,<\/span> i +<\/span> 1<\/span>)<\/span> =<\/span> 1.0<\/span>;<\/span>
\n B<\/span>(<\/span>n –<\/span> 1<\/span>,<\/span> 0<\/span>)<\/span> =<\/span> 1.0<\/span>;<\/span><\/p>\n

\/\/ \u8f93\u51fa\u77e9\u9635<\/span>
\n for<\/span> (<\/span>int<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> n;<\/span> ++<\/span>i)<\/span>
\n C<\/span>(<\/span>0<\/span>,<\/span> i)<\/span> =<\/span> b[<\/span>n –<\/span> i]<\/span> –<\/span> a[<\/span>n –<\/span> i]<\/span> *<\/span> b[<\/span>0<\/span>]<\/span>;<\/span>
\n D<\/span>(<\/span>0<\/span>,<\/span> 0<\/span>)<\/span> =<\/span> b[<\/span>0<\/span>]<\/span>;<\/span><\/p>\n

return<\/span> StateSpaceModel<\/span>(<\/span>A,<\/span> B,<\/span> C,<\/span> D,<\/span> Ts)<\/span>;<\/span>
\n }<\/span><\/p>\n

\/\/ \u63d0\u53d6\u72b6\u6001\u7a7a\u95f4\u6570\u636e \u2014\u2014 \u5bf9\u5e94 MATLAB \u7684 ssdata<\/span>
\n void<\/span> ssdata<\/span>(<\/span>Matrix&<\/span> A_out,<\/span> Matrix&<\/span> B_out,<\/span>
\n Matrix&<\/span> C_out,<\/span> Matrix&<\/span> D_out)<\/span> const<\/span> {<\/span>
\n A_out =<\/span> A;<\/span> B_out =<\/span> B;<\/span>
\n C_out =<\/span> C;<\/span> D_out =<\/span> D;<\/span>
\n }<\/span><\/p>\n

void<\/span> ssdata<\/span>(<\/span>Matrix&<\/span> A_out,<\/span> Matrix&<\/span> B_out,<\/span>
\n Matrix&<\/span> C_out,<\/span> Matrix&<\/span> D_out,<\/span>
\n double<\/span>&<\/span> Ts_out)<\/span> const<\/span> {<\/span>
\n ssdata<\/span>(<\/span>A_out,<\/span> B_out,<\/span> C_out,<\/span> D_out)<\/span>;<\/span>
\n Ts_out =<\/span> Ts;<\/span>
\n }<\/span><\/p>\n

void<\/span> validateDimensions<\/span>(<\/span>)<\/span> const<\/span> {<\/span>
\n if<\/span> (<\/span>A.<\/span>rows !=<\/span> A.<\/span>cols)<\/span>
\n throw<\/span> std::<\/span>invalid_argument<\/span>(<\/span>"A must be square."<\/span>)<\/span>;<\/span>
\n int<\/span> n =<\/span> A.<\/span>rows;<\/span>
\n if<\/span> (<\/span>B.<\/span>rows !=<\/span> n)<\/span>
\n throw<\/span> std::<\/span>invalid_argument<\/span>(<\/span>"B must have n rows."<\/span>)<\/span>;<\/span>
\n if<\/span> (<\/span>C.<\/span>cols !=<\/span> n)<\/span>
\n throw<\/span> std::<\/span>invalid_argument<\/span>(<\/span>"C must have n columns."<\/span>)<\/span>;<\/span>
\n if<\/span> (<\/span>D.<\/span>rows !=<\/span> C.<\/span>rows ||<\/span> D.<\/span>cols !=<\/span> B.<\/span>cols)<\/span>
\n throw<\/span> std::<\/span>invalid_argument<\/span>(<\/span>"D must be p x m."<\/span>)<\/span>;<\/span>
\n }<\/span>
\n}<\/span>;<\/span><\/p>\n

\/\/ ============================================================<\/span>
\n\/\/ \u4e3b\u7a0b\u5e8f<\/span>
\n\/\/ ============================================================<\/span>
\nint<\/span> main<\/span>(<\/span>)<\/span> {<\/span>
\n try<\/span> {<\/span>
\n \/\/ \u793a\u4f8b: G(s) = (2s + 3) \/ (s^2 + 2s + 5)<\/span>
\n std::<\/span>vector<<\/span>double<\/span>><\/span> num =<\/span> {<\/span>2<\/span>,<\/span> 3<\/span>}<\/span>;<\/span>
\n std::<\/span>vector<<\/span>double<\/span>><\/span> den =<\/span> {<\/span>1<\/span>,<\/span> 2<\/span>,<\/span> 5<\/span>}<\/span>;<\/span><\/p>\n

StateSpaceModel sys =<\/span> StateSpaceModel<\/span>::<\/span>fromTransferFunction<\/span>(<\/span>num,<\/span> den)<\/span>;<\/span><\/p>\n

Matrix A,<\/span> B,<\/span> C,<\/span> D;<\/span>
\n double<\/span> Ts =<\/span> 0.0<\/span>;<\/span>
\n sys.<\/span>ssdata<\/span>(<\/span>A,<\/span> B,<\/span> C,<\/span> D,<\/span> Ts)<\/span>;<\/span> \/\/ \u5bf9\u5e94 MATLAB: [A,B,C,D,Ts] = ssdata(sys)<\/span><\/p>\n

A.<\/span>print<\/span>(<\/span>"A"<\/span>)<\/span>;<\/span>
\n std::<\/span>cout <<<\/span> "\\\\n"<\/span>;<\/span>
\n B.<\/span>print<\/span>(<\/span>"B"<\/span>)<\/span>;<\/span>
\n std::<\/span>cout <<<\/span> "\\\\n"<\/span>;<\/span>
\n C.<\/span>print<\/span>(<\/span>"C"<\/span>)<\/span>;<\/span>
\n std::<\/span>cout <<<\/span> "\\\\n"<\/span>;<\/span>
\n D.<\/span>print<\/span>(<\/span>"D"<\/span>)<\/span>;<\/span>
\n std::<\/span>cout <<<\/span> "\\\\n"<\/span>;<\/span><\/p>\n

std::<\/span>cout <<<\/span> std::<\/span>defaultfloat;<\/span> \/\/ \u6062\u590d\u9ed8\u8ba4\u6d6e\u70b9\u663e\u793a<\/span>
\n std::<\/span>cout <<<\/span> "Ts = "<\/span> <<<\/span> Ts <<<\/span> std::<\/span>endl;<\/span>
\n }<\/span>
\n catch<\/span> (<\/span>const<\/span> std::<\/span>exception&<\/span> e)<\/span> {<\/span>
\n std::<\/span>cerr <<<\/span> "Error: "<\/span> <<<\/span> e.<\/span>what<\/span>(<\/span>)<\/span> <<<\/span> std::<\/span>endl;<\/span>
\n return<\/span> 1<\/span>;<\/span>
\n }<\/span>
\n return<\/span> 0<\/span>;<\/span>
\n}<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\/\/ ssdata.cpp
\n\/\/ \u7f16\u8bd1: g -stdc11 -O2 ssdata.cpp -o ssdata
\n\/\/ \u8fd0\u884c: .\/ssdata (Linux\/macOS) \u6216 ssdata.exe (Windows)#include
\n#include
\n#include
\n#include
\n#include
\n#include \/\/
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