Second Edition

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Feedback Systems: An Introduction for Scientists and Engineers
Karl J. Åström and Richard M. Murray

Welcome to FBSwiki. This is the wiki for the Second Edition of text Feedback Systems by Karl J. Åström and Richard M. Murray.

WARNING: The second edition of FBS is still in beta. If you would like a more stable version of this book, please use the first edition.

Copyright in this book is held by Princeton University Press, who have kindly agreed to allow us to keep the book available on the web.

News (archive)

Contents

  • Chapter 1 - Introduction (PDF, 23 Sep 2016)
    • What Is Feedback?
    • What is Feedforward?
    • What Is Control?
    • Use of Feedback and Control
    • Feedback Properties
    • Simple Forms of Feedback
    • Combining Feedback with Logic
    • Control System Architectures
  • Chapter 2 - Feedback Principles (PDF, 25 Sep 2016)
    • Mathematical Models
    • Using Feedback to Improve Disturbance Attenuation
    • Using Feedback to Follow Command Signals
    • Using Feedback to Provide Robustness
    • Using Feedback to Shape Behavior
    • Feedback and Feedforward
  • Chapter 3 - System Modeling (PDF, 25 Sep 2016)
    • Modeling Concepts
    • State Space Models
    • Modeling Methodology
    • Modeling Examples
  • Chapter 4 - Examples (PDF, 30 Aug 2015)
    • Cruise Control
    • Bicycle Dynamics
    • Operational Amplifier Circuits
    • Computing Systems and Networks
    • Atomic Force Microscopy
    • Drug Administration
    • Population Dynamics
  • Chapter 5 - Dynamic Behavior (PDF, 30 Aug 2015)
    • Solving Differential Equations
    • Qualitative Analysis
    • Stability
    • Lyapunov Stability Analysis
    • Parametric and Nonlocal Behavior
  • Chapter 6 - Linear Systems (PDF, 30 Aug 2015)
    • Basic Definitions
    • The Matrix Exponential
    • Input/Output Response
    • Linearization
  • Chapter 7 - State Feedback (PDF, 30 Aug 2015)
    • Reachability
    • Stabilization by State Feedback
    • State Feedback Design
    • Integral Action
  • Chapter 8 - Output Feedback (PDF, 30 Aug 2015)
    • Observability
    • State Estimation
    • Control Using Estimated State
    • Kalman Filtering
    • A General Controller Structure
  • Chapter 9 - Transfer Functions (PDF, 01 Nov 2015)
    • Frequency Domain Modeling
    • Derivation of the Transfer Function
    • Block Diagrams and Transfer Functions
    • The Bode Plot
    • Laplace Transforms
  • Chapter 10 - Frequency Domain Analysis (PDF, 01 Nov 2015)
    • The Loop Transfer Function
    • The Nyquist Criterion
    • Stability Margins
    • Bode’s Relations and Minimum Phase Systems
    • Generalized Notions of Gain and Phase
  • Chapter 11 - PID Control (PDF, 01 Nov 2015)
    • Basic Control Functions
    • Simple Controllers for Complex Systems
    • PID Tuning
    • Integrator Windup
    • Implementation
  • Chapter 12 - Frequency Domain Design (PDF, 01 Nov 2015)
    • Sensitivity Functions
    • Feedforward Design
    • Performance Specifications
    • Feedback Design via Loop Shaping
    • The Root-Locus Method
    • Fundamental Limitations
    • Design Example
  • Chapter 13 - Robust Performance (PDF, 01 Nov 2015)
    • Modeling Uncertainty
    • Stability in the Presence of Uncertainty
    • Performance in the Presence of Uncertainty
    • Robust Pole Placement
    • Design for Robust Performance
  • Chapter 14 - Architecture and System Design