基于Matlab gui设计输入阻尼比和无阻尼自然频率输出标准二阶系统的响应函数的程序

以下是基于Matlab GUI设计输入阻尼比和无阻尼自然频率输出标准二阶系统的响应函数的程序：

首先，在Matlab中创建一个GUI界面，可以使用 GUIDE 工具或手动创建。

然后，在GUI界面上添加两个文本框和一个按钮，用于输入阻尼比和无阻尼自然频率，并触发计算响应函数的事件。

接下来，编写计算响应函数的代码。可以使用以下公式：

wn = sqrt((1-zeta^2)*w0^2);
s = tf('s');
G = 1/(s^2 + 2*zeta*wn*s + wn^2);

这里，wn 表示系统的自然频率，zeta 表示阻尼比，w0 表示无阻尼自然频率，s 是Laplace变换中的复变量，G 是系统的传递函数。

最后，在按钮的回调函数中，获取用户输入的阻尼比和无阻尼自然频率，计算响应函数，并在另一个文本框中显示结果。

下面是完整的程序代码示例：

function varargout = response_function_gui(varargin)
% RESPONSE_FUNCTION_GUI MATLAB code for response_function_gui.fig
%      RESPONSE_FUNCTION_GUI, by itself, creates a new RESPONSE_FUNCTION_GUI or raises the existing
%      singleton*.
%
%      H = RESPONSE_FUNCTION_GUI returns the handle to a new RESPONSE_FUNCTION_GUI or the handle to
%      the existing singleton*.
%
%      RESPONSE_FUNCTION_GUI('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in RESPONSE_FUNCTION_GUI.M with the given input arguments.
%
%      RESPONSE_FUNCTION_GUI('Property','Value',...) creates a new RESPONSE_FUNCTION_GUI or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before response_function_gui_OpeningFcn gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to response_function_gui_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES

% Edit the above text to modify the response to help response_function_gui

% Last Modified by GUIDE v2.5 26-Jun-2021 15:08:39

% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @response_function_gui_OpeningFcn, ...
                   'gui_OutputFcn',  @response_function_gui_OutputFcn, ...
                   'gui_LayoutFcn',  [] , ...
                   'gui_Callback',   []);
if nargin && ischar(varargin{1})
    gui_State.gui_Callback = str2func(varargin{1});
end

if nargout
    [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
    gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT


% --- Executes just before response_function_gui is made visible.
function response_function_gui_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% varargin   command line arguments to response_function_gui (see VARARGIN)

% Choose default command line output for response_function_gui
handles.output = hObject;

% Update handles structure
guidata(hObject, handles);

% UIWAIT makes response_function_gui wait for user response (see UIRESUME)
% uiwait(handles.figure1);


% --- Outputs from this function are returned to the command line.
function varargout = response_function_gui_OutputFcn(hObject, eventdata, handles) 
% varargout  cell array for returning output args (see VARARGOUT);
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Get default command line output from handles structure
varargout{1} = handles.output;


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


% --- Executes during object creation, after setting all properties.
function zeta_edit_CreateFcn(hObject, eventdata, handles)
% hObject    handle to zeta_edit (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


function w0_edit_Callback(hObject, eventdata, handles)
% hObject    handle to w0_edit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --- Executes during object creation, after setting all properties.
function w0_edit_CreateFcn(hObject, eventdata, handles)
% hObject    handle to w0_edit (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


% --- Executes on button press in calculate_button.
function calculate_button_Callback(hObject, eventdata, handles)
% hObject    handle to calculate_button (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Get user input of zeta and w0
zeta = str2double(get(handles.zeta_edit, 'String'));
w0 = str2double(get(handles.w0_edit, 'String'));

% Calculate response function
wn = sqrt((1 - zeta^2) * w0^2);
s = tf('s');
G = 1 / (s^2 + 2 * zeta * wn * s + wn^2);

% Display result
set(handles.result_text, 'String', ['G = ' char(G)]);


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


% --- Executes during object creation, after setting all properties.
function result_text_CreateFcn(hObject, eventdata, handles)
% hObject    handle to result_text (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

运行程序后，输入阻尼比和无阻尼自然频率，点击计算按钮，即可在结果文本框中看到计算得到的响应函数。