KerMor
0.9
Model order reduction for nonlinear dynamical systems and nonlinear approximation
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This class is part of the framework
Public Member Functions | |
Model (greenfile) | |
function [
double t ,
colvec< double > x , double ctime ] = | computeTrajectory (colvec< double > mu,integer inputidx) |
function status = | ODE_Callback (double t,matrix< double > y, flag) |
function | loadGreen (filename) |
LOADGREEN Loads a stored golf setting. More... | |
function z = | green (colvec< double > x,matrix< double > y) |
Green - Erzeugt eine Hügellandschaft mit gegebenen Parametern. More... | |
function dx = | gradgreen (colvec< double > x) |
Gradient von g. More... | |
function map = | golfcolormap () |
function ax = | initPlot (pm) |
Plotgreen: Zeichnet das Putting-Green und das zugehörige Loch. More... | |
function | plot (double t,matrix< double > y, pm) |
global rad_ball BX BY BZ t hFigure sol;% hBall; More... | |
Public Member Functions inherited from models.BaseModel | |
BaseModel () | |
function | delete () |
function | initDefaultParameter () |
Reads the default values of the System's ModelParam list and initializes the BaseModel.DefaultMu with it. More... | |
function [
rowvec< double > t , matrix < double > y , double sec , x ] = | simulate (colvec< double > mu,integer inputidx) |
Simulates the system and produces the system's output. More... | |
function [ handle f , handle ax ] = | plot (rowvec< double > t,matrix< double > y, varargin) |
Plots the results of the simulation. Override in subclasses for a more specific plot if desired. More... | |
function [ handle f , handle ax ] = | plotState (rowvec t,matrix< double > x, varargin) |
Plots the results of the simulation. Override in subclasses for a more specific plot if desired. More... | |
function [
f , ax ] = | plotSingle (double t,colvec< double > y, varargin) |
Plots a single solution. Override in subclasses for specific plot behaviour. More... | |
function | plotInputs (pm) |
function [
double t ,
colvec< double > x , double ctime ] = | solveStatic (colvec< double > mu,integer inputidx) |
Solves the linear system \(A(t,\mu)*x + f(t,\mu) + B(t,\mu)*u(t) = 0\). Spatial dependence of f is neglected in the current implementation (since this would require solving a nonlinear system). More... | |
function [
rowvec< double > t , matrix < double > x , double ctime ] = | computeTrajectory (colvec< double > mu,integer inputidx) |
Computes a solution/trajectory for the given mu and inputidx in the SCALED state space. More... | |
function matrix < double > mu = | getRandomParam (integer num,integer seed) |
Gets a random parameter sample from the system's parameter domain P. More... | |
Public Member Functions inherited from KerMorObject | |
KerMorObject () | |
Constructs a new KerMor object. More... | |
function | display () |
disp(object2str(this)); More... | |
function bool = | eq (B) |
Checks equality of two KerMor objects. More... | |
function bool = | ne (B) |
Checks if two KerMorObjects are different. More... | |
function cn = | getClassName () |
Returns the simple class name of this object without packages. More... | |
Public Member Functions inherited from DPCMObject | |
DPCMObject () | |
Creates a new DPCM object. More... | |
DPCMObject () | |
Static Public Member Functions | |
static function res = | test_Golf () |
Public Attributes | |
rad_ball = 0.021 | |
Golfballradius in Meter gut: 0.015 m (42mm Durchmesser von Wikipedia) More... | |
rad_hole = 0.054 | |
detail = 0.02 | |
Geländeauflösung. More... | |
vmin = 0.03 | |
Green | |
Hole | |
Ball | |
Public Attributes inherited from models.BaseModel | |
models.BaseFirstOrderSystem | System = "[]" |
The actual dynamical system used in the model. More... | |
char | Name = "" |
The name of the Model. More... | |
matrix< double > | G = 1 |
The custom scalar product matrix \(\vG\). More... | |
double | RealTimePlottingMinPause = .1 |
Minimum pause between successive steps when RealTimePlotting is enabled. More... | |
logical | isStatic = false |
Determines if the model is time dependent or static. More... | |
integer | DefaultInput = "[]" |
The default input to use if none is given. More... | |
Times | |
Evaluation points \(\{0=t_0,\ldots,t_n=T\}\) of the model. More... | |
rowvec< double > | scaledTimes |
The time steps Times in scaled time units \(\tilde{t_i} = \frac{t_i}{\tau}\). More... | |
double | Tscaled |
The scaled end time \(\tilde{T} = \frac{T}{\tau}\). More... | |
double | tau |
Time scaling factor \(\tau\). More... | |
double | T |
The final timestep \(T\) up to which to simulate. More... | |
double | dt |
The desired time-stepsize \(\Delta t\) for simulations. More... | |
solvers.BaseSolver | ODESolver |
The solver to use for the ODE. Must be an instance of any solvers.BaseSolver subclass. More... | |
logical | RealTimePlotting |
Determines if the simulation should plot intermediate steps during computation. More... | |
colvec< double > | DefaultMu = "[]" |
The default parameter value if none is given. More... | |
dtscaled = .1 | |
The scaled timestep \(\tilde{\Delta t} = \frac{\Delta t}{\tau}\). More... | |
char | gitRefOnSave = "" |
Contains the GIT revision of this model when it was last saved. More... | |
Public Attributes inherited from DPCMObject | |
WorkspaceVariableName = "" | |
The workspace variable name of this class. Optional. More... | |
ID = "[]" | |
An ID that allows to uniquely identify this DPCMObject (at least within the current MatLab session/context). More... | |
PropertiesChanged = "[]" | |
The Dictionary containing all the property settings as key/value pairs. More... | |
Public Attributes inherited from handle | |
addlistener | |
Creates a listener for the specified event and assigns a callback function to execute when the event occurs. More... | |
notify | |
Broadcast a notice that a specific event is occurring on a specified handle object or array of handle objects. More... | |
delete | |
Handle object destructor method that is called when the object's lifecycle ends. More... | |
disp | |
Handle object disp method which is called by the display method. See the MATLAB disp function. More... | |
display | |
Handle object display method called when MATLAB software interprets an expression returning a handle object that is not terminated by a semicolon. See the MATLAB display function. More... | |
findobj | |
Finds objects matching the specified conditions from the input array of handle objects. More... | |
findprop | |
Returns a meta.property objects associated with the specified property name. More... | |
fields | |
Returns a cell array of string containing the names of public properties. More... | |
fieldnames | |
Returns a cell array of string containing the names of public properties. See the MATLAB fieldnames function. More... | |
isvalid | |
Returns a logical array in which elements are true if the corresponding elements in the input array are valid handles. This method is Sealed so you cannot override it in a handle subclass. More... | |
eq | |
Relational functions example. See details for more information. More... | |
transpose | |
Transposes the elements of the handle object array. More... | |
permute | |
Rearranges the dimensions of the handle object array. See the MATLAB permute function. More... | |
reshape | |
hanges the dimensions of the handle object array to the specified dimensions. See the MATLAB reshape function. More... | |
sort | |
ort the handle objects in any array in ascending or descending order. More... | |
Additional Inherited Members | |
Protected Member Functions inherited from models.BaseModel | |
function this = | saveobj () |
Store the current GIT branch in the object. More... | |
function | plotstep (src, ed) |
Callback for the ODE solvers StepPerformed event that enables during-simulation-plotting. More... | |
Protected Member Functions inherited from KerMorObject | |
function | checkType (obj, type) |
Object typechecker. More... | |
Protected Member Functions inherited from DPCMObject | |
function | registerProps (varargin) |
Call this method at any class that defines DPCM observed properties. More... | |
function | registerProps (varargin) |
Static Protected Member Functions inherited from models.BaseModel | |
static function this = | loadobj (this, s) |
Static Protected Member Functions inherited from DPCMObject | |
static function obj = | loadobj (obj, from) |
Re-register any registered change listeners! More... | |
static function obj = | loadobj (obj, from) |
models.golf.Model.Model | ( | greenfile | ) |
Definition at line 90 of file Model.m.
References models.BaseModel.dt, loadGreen(), models.BaseModel.ODESolver, models.golf.System.System(), and models.BaseModel.T.
function [doublet , colvec<double>x , doublectime ] = models.golf.Model.computeTrajectory | ( | colvec< double > | mu, |
integer | inputidx | ||
) |
Definition at line 109 of file Model.m.
References ODE_Callback(), models.BaseModel.ODESolver, and t.
function map = models.golf.Model.golfcolormap | ( | ) |
Definition at line 232 of file Model.m.
References t.
Referenced by initPlot().
Gradient von g.
x | The state variable vector \(\vx(t)\) |
Definition at line 218 of file Model.m.
References green().
Referenced by ODE_Callback(), and plot().
Green - Erzeugt eine Hügellandschaft mit gegebenen Parametern.
x | The state variable vector \(\vx(t)\) |
y | The output variable vector \(\vy(t) = \vC(t,\vmu)\vx(t),~t=0\ldots T\) (general notation) |
Definition at line 200 of file Model.m.
References Green.
Referenced by gradgreen(), initPlot(), and plot().
function ax = models.golf.Model.initPlot | ( | pm | ) |
Plotgreen: Zeichnet das Putting-Green und das zugehörige Loch.
Definition at line 243 of file Model.m.
References detail, golfcolormap(), Green, green(), models.BaseFirstOrderSystem.mu, and rad_hole.
Referenced by plot().
function models.golf.Model.loadGreen | ( | filename | ) |
LOADGREEN Loads a stored golf setting.
Definition at line 156 of file Model.m.
References models.BaseModel.DefaultMu, and Green.
Referenced by Model().
Definition at line 121 of file Model.m.
References gradgreen(), Green, models.BaseFirstOrderSystem.mu, rad_hole, models.BaseModel.System, and vmin.
Referenced by computeTrajectory().
global rad_ball BX BY BZ t hFigure sol;% hBall;
t | The current time(s) \(t \in [0, T]\) |
y | The output variable vector \(\vy(t) = \vC(t,\vmu)\vx(t),~t=0\ldots T\) (general notation) |
Definition at line 296 of file Model.m.
References models.BaseModel.dt, gradgreen(), green(), initPlot(), PlotManager.LeaveOpen, rad_ball, and t.
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static |
models.golf.Model.detail = 0.02 |
models.golf.Model.Green |
Definition at line 65 of file Model.m.
Referenced by green(), initPlot(), loadGreen(), and ODE_Callback().
models.golf.Model.rad_ball = 0.021 |
models.golf.Model.rad_hole = 0.054 |
Definition at line 50 of file Model.m.
Referenced by initPlot(), and ODE_Callback().
models.golf.Model.vmin = 0.03 |
Definition at line 62 of file Model.m.
Referenced by ODE_Callback().