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Perez C. - DESIGN OF EXPERIMENTS by EXAMPLES using MATLAB

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MATLAB provides apps and design tools for optimally calibrating complex engines and powertrain subsystems. You can work with design of experiments, define optimal test plans, automatically fit statistical models, and generate calibrations and lookup tables for complex high-degree-of-freedom engines that would otherwise require exhaustive testing using traditional methods. Calibrations can be optimized at individual operating points or over drive cycles to identify the optimal balance of engine fuel economy, performance, and emissions. Using apps or MATLAB functions, you can automate the calibration process for similar engine types. The Key Features in this book are the following: Apps that support the entire workflow: designing experiments, fitting statistical models to engine data, and producing optimal calibrations Design-of-Experiments methodology for reducing testing time through classical, space-filling, and optimal design techniques Accurate engine modeling with data fitting techniques including Gaussian process, radial basis function, and linear regression modeling Boundary modeling to keep optimization results within the engine operating envelope Generation of lookup tables from optimizations over drive cycles, models, or test data Export of performance-optimized models to Simulink for use in simulation and HIL testing This book develops the following topics: Model-Based Calibration Toolbox Design of Experiments Empirical Engine Modeling Selecting Data and Models to Fit Selecting Global and Two-Stage Models Using Validation Data Exporting the Models Optimized Calibration Importing Additional Models into CAGE Setting Up and running the Optimization Composite Models and Modal Optimization Use Optimization Results

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DESIGN OF EXPERIMENTS BY EXAMPLES USING MATLAB

Prez C.

Introduction

The design of experiments ( DOE , DOX , or experimental design ) is the design of any task that aims to describe or explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associated with true experiments in which the design introduces conditions that directly affect the variation, but may also refer to the design of quasi - experiments , in which natural conditions that influence the variation are selected for observation.

In its simplest form, an experiment aims at predicting the outcome by introducing a change of the preconditions, which is reflected in a variable called the predictor (independent) . The change in the predictor is generally hypothesized to result in a change in the second variable, hence called the outcome (dependent) variable. Experimental design involves not only the selection of suitable predictors and outcomes, but planning the delivery of the experiment under statistically optimal conditions given the constraints of available resources.

Main concerns in experimental design include the establishment of validity , reliability , and replicability . For example, these concerns can be partially addressed by carefully choosing the predictor, reducing the risk of measurement error, and ensuring that the documentation of the method is sufficiently detailed. Related concerns include achieving appropriate levels of statistical power and sensitivity .

Correctly designed experiments advance knowledge in the natural and social sciences and engineering. Other applications include marketing and policy making.

MATLAB Model-Based Calibration Toolbox provides apps and design tools for optimally calibrating complex experimental designs models. This Toolbox use un Apps that support the entire workflow: designing experiments, fitting statistical models to engine data, and producing optimal calibrations. Also support Design-of-Experiments methodology for reducing testing time through classical, space-filling, and optimal design techniques, This Toolbox accurate engine modeling with data fitting techniques including Gaussian process,radial basis function, and linear regression modeling. Other options are: Boundary modeling to keep optimization results within the engine operating envelope, Generation of lookup tables from optimizations over drive cycles, models, or test data. Also is posible export of performance-optimized models to Simulink for use in simulation and HILtesting

CONTENTS
Model Based Calibration

Model-Based Calibration Toolbox Key Features

What Is Model-Based Calibration?

Designs and Modeling in the Model Browser

Calibration Generation in CAGE

Limitations

Waitbar May Have Transparent Background

Gasoline Engine Calibration

Gasoline Case Study Overview

Gasoline Calibration Problem Definition

Case Study Example Files

Design of Experiment

Context

Benefits of Design of Experiment Power Envelope Survey Testing

Create Designs and Collect Data

Data Collection and Physical Modeling

Empirical Engine Modeling

Examine Response Models

Examine the Test Plan

Optimization

Optimization Overview

View Optimization Results

Set Up Optimization

Filling Tables From Optimization Results

Gasoline Engine Calibration Case Study

Gasoline Case Study Overview

Case Study Introduction

Why Use Design of Experiment and Engine Modeling?

Problem Definition

Introduction to Two-Stage Modeling

Designing the Experiment

Overview of Design Process

Specifying Model Inputs

Creating Designs

Data Source

Selecting Data and Models to Fit

Viewing and Filtering Data

View Data

Filter Data

How Is a Two-Stage Model Constructed?

Selecting Local Models

Viewing the Boundary Model

Selecting Global and Two-Stage Models Inspect the Global Models

Create Multiple Models to Compare

Create a Two-Stage Model

Evaluate Other Response Models

Using Validation Data

Exporting the Models

Optimized Calibration

Problem Definition

Benefits of Automated Calibration

Importing Additional Models into CAGE

Setting Up Calibration Tables to Fill

Altering Variable Ranges

Setting Up Tables

Setting Up the Optimization

Defining Variable Values

Running the Optimization

Setting Up the Sum Optimization

Setting Up the Optimization Initial Values and Objective

Creating Table Gradient Constraints Running the Sum Optimization

Filling Tables with Optimization Results

MBT Spark Estimator Problem What Is an Estimator?

View the Feature

View Variables

Edit and Import Boundary Model

Use the Feature Fill Wizard

Inspect Results

CAGE Import Tool

Diesel Engine Calibration Case Study

Diesel Case Study Overview

Introduction

Problem Definition

Design of Experiment

Introducing Design of Experiment

Constraining the Design

Creating Candidate Designs

Data Collection

Modeling

Overview of Modeling Process

Optimized Calibration

Problem Definition

Benefits of Automated Calibration

Importing Models of Engine Responses into CAGE

Defining Additional Variables and Models

Setting Up Calibration Tables to Fill

Setting Up the Point Optimization

Setting Up Constraints

Defining Variable Values

Running the Optimization

Setting Up the Sum Optimization

Setting Up Initial Values and Sum Objective

Creating the Brake Specific NOx Constraint

Setting Weights for the Sum Objective and Constraint

Set Parameters and Run Optimization

Filling Tables with Optimization Results

Point-by-Point Diesel Engine Calibration Case Study

Point-by-Point Diesel Case Study Overview What Is Point-by-Point Modeling?

Engine Calibration Specifications and Problem Description Required Tasks

Create Designs and Models Programmatically

Overview of Programmatic Design and Modeling

Creating Designs and Models Programmatically

Verify and Refine Models

Open the Project and View Designs

Analyze and Refine Local Fits

Point-by-Point Optimization Overview

Create Point Optimizations in CAGE

Introduction

Load Models to Optimize

Create Part Load Point Optimization

Create Full-Load Point Optimization

Create Multiregion Sum Optimization

Introduction

Create Data Set from Point Optimization Results

Create Sum Optimization

Add Application Point Sets

Set Up Constraints

Define Weights and Fixed Variables and Run Optimization

Use Optimization Results Introduction

Create Tables to Fill

Fill Tables from Optimization Results

Export Tables

Composite Models and Modal Optimizations

Introducing Composite Models and Modal Optimization Composite Model and Modal Optimization Projects

Gasoline Example with Four Cylinder and Eight Cylinder Modes

Diesel Example with Low and High EGR Modes

Composite Model Example with Separate Tables for Each

Mode

Model Based Calibration

Model-Based Calibration Toolbox Product Description Model and calibrate - photo 1

Model-Based Calibration Toolbox Product Description

Model and calibrate engines

Model-Based Calibration Toolbox provides apps and design tools for optimally calibrating complex engines and powertrain subsystems. You can define optimal test plans, automatically fit statistical models, and generate calibrations and lookup tables for complex high-degree-of-freedom engines that would otherwise require exhaustive testing using traditional methods. Calibrations can be optimized at individual operating points or over drive cycles to identify the optimal balance of engine fuel economy, performance, and emissions. Using apps or MATLAB functions, you can automate the calibration process for similar engine types.

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