Control Systems

Control Systems is an inter-disciplinary engineering text that analyzes the effects and interactions of mathematical systems. This book is for third and fourth year undergraduates in an engineering program.

Preface

This book will discuss the topic of Control Systems, which is an interdisciplinary engineering topic. Methods considered here will consist of both "Classical" control methods, and "Modern" control methods. Also, discretely sampled systems (digital/computer systems) will be considered in parallel with the more common analog methods. This book will not focus on any single engineering discipline (electrical, mechanical, chemical, etc.), although readers should have a solid foundation in the fundamentals of at least one discipline.

This book will require prior knowledge of linear algebra, integral and differential calculus, and at least some exposure to ordinary differential equations. In addition, a prior knowledge of integral transforms, specifically the Laplace and Z transforms will be very beneficial. Also, prior knowledge of the Fourier Transform will shed more light on certain subjects. Wikibooks with information on calculus topics or transformation topics required for this book will be listed below:

• Calculus
• Linear Algebra
• Signals and Systems
• Digital Signal Processing

Table of Contents

Special Pages

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• Preface

Controls Introduction

• Introduction
• System Identification
• Digital and Analog
• System Metrics
• System Modeling

Classical Control Methods

• Transforms
• Transfer Functions
• Poles and Zeros

Modern Control Methods

• State-Space Equations
• Linear System Solutions
• Time-Variant System Solutions
• Digital State-Space
• Eigenvalues and Eigenvectors
• Standard Forms
• MIMO Systems
• Realizations

System Representation

• Gain
• Block Diagrams
• Feedback Loops
• Signal Flow Diagrams
• Bode Plots
• Nichols Charts

Stability

• Stability
• State-Space Stability
• Discrete-Time Stability
• Routh-Hurwitz Criterion
• Jury's Test
• Root Locus
• Nyquist Stability Criterion

Controllers and Compensators

• Controllability and Observability
• System Specifications
• State Feedback
• Estimators and Observers
• Eigenvalue Assignment for MIMO Systems
• Controllers and Compensators
• Polynomial Design

Adaptive Control

• Adaptive Control

Nonlinear Systems

• State Machines
• Nonlinear Systems
• Common Nonlinearities

Noisy Systems

• Noise Driven Systems

Introduction to Digital Controls

• Digital Control Systems
• Discrete-Time Stability
• System Delays
• Sampled Data Systems
• Z Transform Mappings

Linear Matrix Inequalities in Control

• Linear Matrix Inequalities
• A List of Linear Matrix Inequalities in Control

Examples

• Examples

Appendices

• Physical Models
• Transforms
• System Representations
• Matrix Operations
• Using MATLAB ®
• Using Octave
• Using Julia
• Using Scilab
• Using Python

Resources, Glossary, and License

• Glossary
• List of Equations
• Resources
• Licensing

Control Systems