Search results for Control systems and optimization

Summary

Part I provides prerequisite information for using optimization in practice. Specifically, we need to use software and we need to have some basic knowledge of mathematics. This book uses Matlab as a computational tool. If you are new to Matlab or do not know it yet, Chapter 1 will provide you with the preparatory information to get started. If your mathematics knowledge is a bit rusty, Chapter 2 will provide you with the preparatory knowledge for optimization application.

Specifically, the topics presented, with the chapter numbers, are given below:

Summary

In the first part of the book, we dealt with some material that prepared us to begin learning optimization. Specifically, we learned about Matlab and about some basic mathematics. In this next portion of the book, we start to understand what optimization is all about. In particular, (i) we will be introduced to the fascinating world of optimization, (ii) we will differentiate optimization from other engineering activities (e.g., analysis and modeling), and, finally, (iii) we will provide an important classification of optimization, which is important to know in practice.

Specifically, the topics presented, with the chapter numbers, are given below:

3. Welcome to the Fascinating World of Optimization

4. Analysis, Design, Optimization, and Modeling

5. Introducing Linear and Nonlinear Programming

Summary

Part IV of the book explains what is inside the code and how it works. This knowledge will make it possible to use the optimization code with more confidence, and more reliably. It will also help you know what to do when things do not work. The material presented will also be great preparation for further studies in optimization. With this more advanced knowledge, it will be possible to understand such things as the code error messages. The material examined in this part of the book will reinforce and advance the knowledge of optimization that was previously learned.

Metaphorically, the material up to this point taught us how to drive the design from a bad state to an optimal state. We did so without understanding how the car we are driving works, how to fix it, design it, or actually build it. However, we have sufficient practical knowledge to drive from a bad to a good design. The following material will teach us how the car works, how to fix it, how to make it perform very well, and even prepare us venture into the advanced world of designing cars (if that is our interest). That is, building optimization codes and algorithms. Interestingly, most of us want to use the power of optimization, without having to become expert in the intricate details of the inner-workings of the optimization code. This book provides the breadth of presentation to suit these diverse objectives. More advanced topics will be presented beyond Part IV.

Control systems and optimization

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1511 results in Control systems and optimization

10 - Estimating stability regions of continuous dynamical systems

Acknowledgements

11 - Estimating stability regions of complex continuous dynamical systems

14 - Estimation of relevant stability regions

Copyright page

8 - Relevant stability boundary of continuous dynamical systems

Index

Part II - Estimation

13 - A constructive methodology to estimate stability regions of nonlinear dynamical systems

4 - Stability regions of continuous dynamical systems

Part I - Theory

Part IV - Applications

PART I - HELPFUL PRELIMINARIES

Summary

List of Tables

17 - Methods for Pareto Frontier Generation/Representation

PART II - USING OPTIMIZATION–THE ROAD MAP

Summary

2 - Mathematical Preliminaries

5 - Introducing Linear and Nonlinear Programming

Frontmatter

PART IV - GOING DEEPER: INSIDE THE CODES AND THEORETICAL ASPECTS

Summary

Control systems and optimization

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1511 results in Control systems and optimization

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