TPWLLocalLipEstimator: Local-Lipschitz estimation based error estimator for reduced models obtained using the TPWL Approx class. More...

Detailed Description

TPWLLocalLipEstimator: Local-Lipschitz estimation based error estimator for reduced models obtained using the TPWL Approx class.

Details about the math can be obtained upon contacting the author.

Author: Daniel Wirtz

Date: 2011-05-09

New in 0.4:: (Daniel Wirtz, 2011-05-09) Added this class.

This class is part of the framework

KerMor - Model Order Reduction using Kernels

Homepage http://www.morepas.org/software/index.html
Documentation http://www.morepas.org/software/kermor/index.html
License KerMor license conditions

Definition at line 18 of file TPWLLocalLipEstimator.m.

Public Member Functions
	TPWLLocalLipEstimator ()

function copy =	clone ()

function p =	prepareForReducedModel (models.ReducedModel rmodel)
	Overrides the setReducedModel method from error.BaseEstimator and performs additional offline computations. More...

function e =	evalODEPart (colvec x,double t,double ut)
	Evaluates the auxiliary ode part for the TPWL estimator. More...

function ct =	postProcess (double t,colvec< double > x,integer inputidx)

function e0 =	init (colvec< double > mu)
	Returns the initial error at \(t=0\) of the integral part. More...

function	clear ()

Public Member Functions inherited from error.BaseEstimator
function	offlineComputations (models.BaseFullModel model)
	Performs a validity check for the given model and sets up the estimator for use with the specified model. More...

function double ct =	postProcess (unused1,rowvec t, unused2)
	Post-processes the error estimator ODE part after reduced simulation computation. More...

function	clear ()
	Clears the last error set by the estimator. More...

function copy =	clone (copy)
	Creates a copy of this error estimator. Call only allowed from subclasses. More...

function e0 =	getE0 (colvec< double > mu)
	Calls the inner initial error computation strategy. More...

function ct =	prepareConstants (colvec< double > mu, unused1)

function prepared =	prepareForReducedModel (models.ReducedModel rmodel)
	Default implementation which simply clones this (subclass!)instance and returns the copy to use in reduced models. 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 errmsg =	validModelForEstimator (models.ReducedModel rmodel)
	Validations. More...

Static Public Member Functions inherited from error.BaseEstimator
static function est =	getEstimator (models.BaseFullModel model)
	Factory method that creates a suitable error estimator for the given model. More...

Public Attributes
	UseTimeDiscreteC = true
	Determines how many postprocessing iterations for the estimator are performed. For the local Lipschitz constant estimation the parameter C can be chosen to equal the error from the last time step. This has to be investigated more thoroughly as integration errors from the solver may lead to a loss of rigorousity. More...

Public Attributes inherited from error.BaseEstimator
	Enabled
	Flag that indicates whether error estimation is used or not. More...

	StateError = "[]"
	The reduction state-space error from the last simulation. More...

	ExtraODEDims = 0
	The dimensions added to the ODE function by the estimator. More...

	OutputError = "[]"
	The output error from the last simulation. More...

models.ReducedModel	ReducedModel = "[]"
	The reduced model associated with the error estimator. More...

	mu

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 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 DPCMObject
static function obj =	loadobj (obj, from)
	Re-register any registered change listeners! More...

static function obj =	loadobj (obj, from)

Constructor & Destructor Documentation

error.TPWLLocalLipEstimator.TPWLLocalLipEstimator ( )

Definition at line 89 of file TPWLLocalLipEstimator.m.

References error.BaseEstimator.ExtraODEDims.

Member Function Documentation

function error.TPWLLocalLipEstimator.clear ( )

Definition at line 323 of file TPWLLocalLipEstimator.m.

function copy = error.TPWLLocalLipEstimator.clone ( )

Definition at line 94 of file TPWLLocalLipEstimator.m.

function e = error.TPWLLocalLipEstimator.evalODEPart	(	colvec	x,
		double	t,
		double	ut
	)

virtual

Evaluates the auxiliary ode part for the TPWL estimator.

Attention: : NOT WORKING PROPERLY YET.

Parameters

x	The full extended state variable vector. Extended means that the last ExtraODEDims rows contain the error estimators own data. If not used, implementers must take care to ditch those values if any function evaluations are performed within the integral part.
t	The current time \(t\)
ut	The value of the input function \(u(t)\) if given, [] else.
mu	The current parameter \(\mu\)

Return values

e	The auxiliary ode part value. extract current error

Implements error.BaseEstimator.

Definition at line 190 of file TPWLLocalLipEstimator.m.

References all(), error.BaseEstimator.ExtraODEDims, models.BaseFirstOrderSystem.f, k, error.BaseEstimator.mu, error.BaseEstimator.ReducedModel, handle.reshape, models.BaseModel.System, t, UseTimeDiscreteC, and models.ReducedModel.V.

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function e0 = error.TPWLLocalLipEstimator.init ( colvec< double > mu )

Returns the initial error at \(t=0\) of the integral part.

Parameters

mu	The currently used parameter \(\vmu\). Set to \([]\) if not used.

Definition at line 310 of file TPWLLocalLipEstimator.m.

References error.BaseEstimator.ReducedModel.

function ct = error.TPWLLocalLipEstimator.postProcess	(	double	t,
		colvec< double >	x,
		integer	inputidx
	)

Definition at line 278 of file TPWLLocalLipEstimator.m.

References all(), models.BaseFirstOrderSystem.C, handle.disp, dscomponents.LinearOutputConv.evaluate(), error.BaseEstimator.ExtraODEDims, models.ReducedModel.FullModel, error.BaseEstimator.mu, error.BaseEstimator.ReducedModel, error.BaseEstimator.StateError, and models.BaseModel.System.

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function p = error.TPWLLocalLipEstimator.prepareForReducedModel ( models.ReducedModel rmodel )

Overrides the setReducedModel method from error.BaseEstimator and performs additional offline computations.

Parameters

rmodel A KerMor reduced model

Required fields of rmodel:

Generated fields of p:

Definition at line 99 of file TPWLLocalLipEstimator.m.

References all(), models.BaseFirstOrderSystem.B, dscomponents.AInputConv.evaluate(), models.BaseFirstOrderSystem.f, models.ReducedModel.FullModel, G, models.BaseModel.getRandomParam(), k, handle.reshape, models.BaseModel.System, t, models.ReducedModel.V, and models.ReducedModel.W.

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function errmsg = error.TPWLLocalLipEstimator.validModelForEstimator ( models.ReducedModel rmodel )

staticvirtual

Validations.

Parameters

rmodel A KerMor reduced model

Required fields of rmodel:

Implements error.BaseEstimator.

Definition at line 333 of file TPWLLocalLipEstimator.m.

References models.BaseFullModel.Approx, models.BaseFirstOrderSystem.C, models.ReducedModel.FullModel, and models.BaseModel.System.

Member Data Documentation

error.TPWLLocalLipEstimator.UseTimeDiscreteC = true

Determines how many postprocessing iterations for the estimator are performed. For the local Lipschitz constant estimation the parameter C can be chosen to equal the error from the last time step. This has to be investigated more thoroughly as integration errors from the solver may lead to a loss of rigorousity.

Has computationally no effect if UseTimeDiscreteC is switched on.

Default: 0 Iterations = 0; Defaults to true. (As is best estimator atm)

Default: true

Definition at line 42 of file TPWLLocalLipEstimator.m.

Referenced by evalODEPart().

The documentation for this class was generated from the following file:

core/+error/TPWLLocalLipEstimator.m

Detailed Description

Public Member Functions

Static Public Member Functions

Public Attributes

Additional Inherited Members

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation