function varargout = ssanalysis(varargin)
% SSANALYSIS M-file for ssanalysis.fig
% SSANALYSIS, by itself, creates a new SSANALYSIS or raises the existing
% singleton*.
%
% H = SSANALYSIS returns the handle to a new SSANALYSIS or the handle to
% the existing singleton*.
%
% SSANALYSIS('CALLBACK',hObject,eventData,handles,...) calls the local
% function named CALLBACK in SSANALYSIS.M with the given input arguments.
%
% SSANALYSIS('Property','Value',...) creates a new SSANALYSIS or raises the
% existing singleton*. Starting from the left, property value pairs are
% applied to the GUI before ssanalysis_OpeningFunction gets called. An
% unrecognized property name or invalid value makes property application
% stop. All inputs are passed to ssanalysis_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
% Copyright 2002-2003 The MathWorks, Inc.
% Edit the above text to modify the response to help ssanalysis
% Last Modified by GUIDE v2.5 30-Jun-2007 19:50:08
% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name', mfilename, ...
'gui_Singleton', gui_Singleton, ...
'gui_OpeningFcn', @ssanalysis_OpeningFcn, ...
'gui_OutputFcn', @ssanalysis_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 ssanalysis is made visible.
function ssanalysis_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 ssanalysis (see VARARGIN)
% Choose default command line output for ssanalysis
handles.output = hObject;
% Update handles structure
guidata(hObject, handles);
% UIWAIT makes ssanalysis wait for user response (see UIRESUME)
% uiwait(handles.figure1);
% --- Outputs from this function are returned to the command line.
function varargout = ssanalysis_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;
% --- Executes on button press in pushbutton1.
function pushbutton1_Callback(hObject, eventdata, handles)
% hObject handle to pushbutton1 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
num=get(handles.edit1,'string');
den=get(handles.edit2,'string');
num=str2num(num);
den=str2num(den);
[A B C D]=tf2ss(num,den);
CM=ctrb(A,B);
if rank(CM)==length(A)
set(handles.text1,'string','System is State Controllable')
else
set(handles.text1,'string','System is not State Controllable')
end
% --- Executes on button press in pushbutton2.
function pushbutton2_Callback(hObject, eventdata, handles)
% hObject handle to pushbutton2 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
num=get(handles.edit1,'string');
den=get(handles.edit2,'string');
num=str2num(num);
den=str2num(den);
[A B C D]=tf2ss(num,den);
OM=obsv(A,C);
if rank(OM)==length(A)
set(handles.text1,'string','System is State Observable')
else
set(handles.text1,'string','System is not State Observable')
end
% --- Executes on button press in pushbutton3.
function pushbutton3_Callback(hObject, eventdata, handles)
% hObject handle to pushbutton3 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
num=get(handles.edit1,'string');
den=get(handles.edit2,'string');
num=str2num(num);
den=str2num(den);
[A B C D]=tf2ss(num,den);
len=length(A);
for i=1:1:len
OPM(i)=C*A^(i-1)*B;
end
if rank(OPM)==len
set(handles.text1,'string','System is Output controlable')
else
set(handles.text1,'string','System is Not Output controlable')
end
% --- Executes on button press in pushbutton4.
function pushbutton4_Callback(hObject, eventdata, handles)
% hObject handle to pushbutton4 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
num=get(handles.edit1,'string');
den=get(handles.edit2,'string');
num=str2num(num);
den=str2num(den);
[A B C D]=tf2ss(num,den);
[y t X]=step(A,B,C,D);
axes(handles.axes1)
plot(X)
% --- Executes on button press in pushbutton5.
function pushbutton5_Callback(hObject, eventdata, handles)
% hObject handle to pushbutton5 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
num=get(handles.edit1,'string');
den=get(handles.edit2,'string');
num=str2num(num);
den=str2num(den);
[A B C D]=tf2ss(num,den);
len=length(A);
Q=eye(len);
P=lyap(A,Q);
%---------------------------------------------------------------------
if len==2;
d1=det(A(1:2,1:2));
detm=d1;
elseif len==3
d1=det(A(1:2,1:2));
d2=det(A(1:3,1:3));
detm=[d1 d2];
elseif len==4
d1=det(A(1:2,1:2));
d2=det(A(1:3,1:3));
d3=det(A(1:4,1:4));
detm=[d1 d2 d3];
elseif len==5
d1=det(A(1:2,1:2));
d2=det(A(1:3,1:3));
d3=det(A(1:4,1:4));
d4=det(A(1:5,1:5))
detm=[d1 d2 d3 d4];
else
set(handles.text1,'String','Higher Orders Not Supported');
detm=0;
end
%------------------------------------------------------------------------
for i=1:len-1
sig(i)=sign(detm(i));
end
%---------------------------------------------------------------------
if min(sig)==-1
set(handles.text1,'string','System is Unstable');
elseif min(sig)==0
set(handles.text1,'string','System is Asymptotically Stable')
elseif min(sig)==1
set(handles.text1,'string','System is Asymptotically Stable in Large')
end
%---------------------------------------------------------------------
function edit1_Callback(hObject, eventdata, handles)
% hObject handle to edit1 (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 edit1 as text
% str2double(get(hObject,'String')) returns contents of edit1 as a double
% --- Executes during object creation, after setting all properties.
function edit1_CreateFcn(hObject, eventdata, handles)
% hObject handle to edit1 (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
set(hObject,'BackgroundColor','white');
else
set(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end
function edit2_Callback(hObject, eventdata, handles)
% hObject handle to edit2 (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 edit2 as text
% str2double(get(hObject,'String')) returns contents of edit2 as a double
% --- Executes during object creation, after setting all properties.
function edit2_CreateFcn(hObject, eventdata, handles)
% hObject handle to edit2 (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
set(hObject,'BackgroundColor','white');
else
set(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end
% --- Executes on button press in pushbutton6.
function pushbutton6_Callback(hObject, eventdata, handles)
% hObject handle to pushbutton6 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
close