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📁 关于小车阶跃响应与自然响应的可视化实现!
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            yleft=1.25:0.01:2.75;
            xleft=zeros(1,151)+y(kt+1);
            %创建汽车图形的右边
            yright=yleft;
            xright=xleft+(ymax-ymin)/20;
            %创建汽车在坐标上的上边,下边
            xx=xleft:(ymax-ymin)/2000:xright;
            gtop=ones(1,length(xx))*1.25;
            fbottom=ones(1,length(xx)).*2.75;
            %为了在曲线绘制中途强制退出而造成坐标系声明错误,特用exit来判断一下
            if exit==0 & pauseture==0
                axes(handles.drawmovie);%指定汽车坐标系
                %画出汽车图形
                plot(xleft,yleft,'g'),
                axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                %标记坐标轴
                xlabel('汽车移动演示->自然响应','FontSize',10);
                ylabel('长方形代表汽车','FontSize',10);
                box off;hold on;%关闭汽车坐标系的右边和上边的坐标显示及保持住图形
                plot(xright,yright,'g'),axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                plot(xx,gtop,'g'),axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                plot(xx,fbottom,'g'),axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                hold off;
                %为了在曲线绘制中途强制退出而造成坐标系声明错误,特用exit来判断一下
            end
            if exit==0 & pauseture==0
                axes(handles.drawcurve);%指定位移变化坐标系
                plot(ta,y,'b'),grid on,%画出曲线
                axis([0,time,ymin,ymax+(ymax-ymin)/20]);%使曲线坐标保持一致并动态选择坐标范围
                %标记坐标轴
                xlabel('时间->自然响应','FontSize',10);
                ylabel('路程->自然响应','FontSize',10);
            end
            if exit==0 & pauseture==0
                axes(handles.drawspeed);%指定速度坐标系
                plot(ta,dy,'c'),grid on,%画出曲线
                axis([0,time,dymin,dymax+(dymax-dymin)/20]);%使曲线坐标保持一致并动态选择坐标范围
                %标记坐标轴
                xlabel('时间->自然响应','FontSize',10);
                ylabel('速度->自然响应','FontSize',10);
            end
        end
    end
    set(handles.jieyue,'Enable','on');%开启阶跃响应按钮的可用性
else
    msgbox('输入各项的值必须(M,Kf,Speed,Time)>0,才符合实际,请重新输入!','提示:');
end

  



% --- Executes on button press in jieyue.
function jieyue_Callback(hObject, eventdata, handles)
% hObject    handle to jieyue (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
%求解阶跃响应
global exit;
global pauseture;
set(handles.ziran,'Enable','off');%关闭自然响应按钮的可用性
m=str2double(get(handles.shurum,'String'));%从输入框中获取质量值
kf=str2double(get(handles.shurukf,'String'));%从输入框中获取摩擦系数值
time=str2double(get(handles.shurutime,'String'));%从输入框中获取响应显示时间范围值
%利用拉普拉斯算子求解阶跃响应,Y(s)=B(s)/A(s),在时间域的解是y(t)是Y(s)的普拉斯的反变换
if m & kf & time%判断输入各项值是否符合实际
    set(handles.ziran,'Enable','off');%关闭自然响应按钮的可用性
    a=[m,kf,0,0];%B(s)
    b=[1];%A(s)
    [r1,p1,k1]=residue(b,a);%将多项式分解为多个一项分式之和,residue可完成这一任务
    t=0:0.1:time;
    %求出阶跃响应在此时间范围内的最大值和最小值
    for kt=0:1:length(t)
        tqiu(kt+1)=kt*0.1; 
        yqiu=r1(1)*exp(p1(1)*tqiu)+r1(2)+r1(3)*tqiu;%阶跃响应的位移方程
        dyqiu=r1(1)*p1(1)*exp(p1(1)*tqiu)+r1(3);%阶跃响应的速度方程
    end
    ymax=max(yqiu);
    ymin=min(yqiu);
    dymax=max(dyqiu);
    dymin=min(dyqiu);
    %不断构建汽车移动和阶跃响应曲线的动画,并使他们相互联系
    exit=0;%为了消除退出后再重新进入时可能exit为1仍在系统中,特消除一下
    pauseture=0;%为了消除退出后再重新进入时可能pauseture为1仍在系统中,特消除一下
    for kt=0:1:length(t)
        if exit==1
            close;
        else
            ta(kt+1)=kt*0.1;
            y=r1(1)*exp(p1(1)*ta)+r1(2)+r1(3)*ta;%阶跃响应的位移方程
            dy=r1(1)*p1(1)*exp(p1(1)*ta)+r1(3);%阶跃响应的速度方程
            %创建汽车图形的左边
            yleft=1.25:0.01:2.75;
            xleft=zeros(1,151)+y(kt+1);
            %创建汽车图形的右边
            yright=yleft;
            xright=xleft+(ymax-ymin)/20;
            %创建汽车在坐标上的上边,下边
            xx=xleft:(ymax-ymin)/2000:xright;
            gtop=ones(1,length(xx)).*1.25;
            fbottom=ones(1,length(xx)).*2.75;
            %为了在曲线绘制中途强制退出而造成坐标系声明错误,特用exit来判断一下
            if exit==0 & pauseture==0
                axes(handles.drawmovie);%指定汽车坐标系
                %画出汽车图形
                plot(xleft,yleft,'g'),axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                %标记坐标轴
                xlabel('汽车移动演示->阶跃响应','FontSize',10);
                ylabel('长方形代表汽车','FontSize',10);
                box off;hold on;%关闭汽车坐标系的右边和上边的坐标显示及保持住图形
                plot(xright,yright,'g'),axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                plot(xx,gtop,'g'),axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                plot(xx,fbottom,'g'),axis([ymin,ymax+(ymax-ymin)/20,0,3.5]);%动态选择坐标范围
                hold off;
                %为了在曲线绘制中途强制退出而造成坐标系声明错误,特用exit来判断一下
            end
            if exit==0 & pauseture==0
                axes(handles.drawcurve);%指定位移变化坐标系
                plot(ta,y,'m'),%画出曲线
                grid on;
                %标记坐标轴
                xlabel('时间->阶跃响应','FontSize',10);
                ylabel('路程->阶跃响应','FontSize',10);
                axis([0,time,ymin,ymax+(ymax-ymin)/20]),%使曲线坐标保持一致并动态选择坐标范围
            end
            if exit==0 & pauseture==0
                axes(handles.drawspeed);%指定速度坐标系
                plot(ta,dy,'c'),%画出曲线
                grid on;
                %标记坐标轴
                xlabel('时间->阶跃响应','FontSize',10);
                ylabel('速度->阶跃响应','FontSize',10);
                axis([0,time,dymin,dymax+(dymax-dymin)/20]),%使曲线坐标保持一致并动态选择坐标范围
            end
        end
    end
    set(handles.ziran,'Enable','on');%开启自然响应按钮的可用性
else
 msgbox('输入各项的值(M,Kf,Time)必须>0,才符合实际,请重新输入!','提示:');
end

% --- Executes on button press in stopplay.
function stopplay_Callback(hObject, eventdata, handles)
global pauseture;
pauseture=1;
% hObject    handle to stopplay (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --- Executes on button press in exitapl.
function exitapl_Callback(hObject, eventdata, handles)
% hObject    handle to exitapl (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
%退出确认对话框
global exit;
%目的:为了在曲线绘制中途强制退出而造成坐标系声明错误,特创建一个退出变量已避免出现错误
answer=questdlg('确定退出?','退出');
if strcmp(answer,'Yes')
    exit=1;
    close;
end


% --------------------------------------------------------------------
function aboutapl_Callback(hObject, eventdata, handles)
%制作小组名单显示
msgbox('梁威(E05620113)赵汀(E05620132)王吉(E05620117)潘燕均(E05620116)','制作小组');
% hObject    handle to aboutapl (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --------------------------------------------------------------------
function caozuo_Callback(hObject, eventdata, handles)
% hObject    handle to caozuo (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --------------------------------------------------------------------
function help_Callback(hObject, eventdata, handles)
% hObject    handle to help (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)





function shurutime_Callback(hObject, eventdata, handles)
% hObject    handle to shurutime (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Hints: get(hObject,'String') returns contents of shurutime as text
%        str2double(get(hObject,'String')) returns contents of shurutime as a double


% --- Executes during object creation, after setting all properties.
function shurutime_CreateFcn(hObject, eventdata, handles)
% hObject    handle to shurutime (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end


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