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Chapters

This textbook is organized into 16 chapters covering 300 concepts in classical control systems.

Chapter Overview

  1. Introduction to Control Systems - Fundamental control concepts including feedback, open/closed-loop control, and system components.

  2. Dynamic System Properties - Essential properties of dynamic systems including linearity, time-invariance, and LTI systems.

  3. Time-Domain Response Fundamentals - System responses in the time domain including natural/forced response and damping characteristics.

  4. Transient Response Specifications - Quantitative measures of transient response including overshoot, settling time, and standard test inputs.

  5. Laplace Transform Methods - Laplace transform techniques for control analysis including s-domain representation and partial fractions.

  6. Poles, Zeros, and System Analysis - Relationship between pole-zero locations and system behavior.

  7. Physical System Modeling - Mathematical models for electrical, mechanical, and electromechanical systems.

  8. Linearization and Nonlinear Effects - Linearization techniques and common nonlinearities in control systems.

  9. Block Diagrams and Signal Flow - Graphical system representation including block diagram reduction and Mason's gain formula.

  10. Stability Analysis and Routh-Hurwitz - Stability concepts, characteristic equations, and the Routh-Hurwitz criterion.

  11. Root Locus Analysis and Design - Root locus method for analyzing closed-loop pole movement with gain.

  12. Frequency Response and Bode Plots - Frequency-domain analysis techniques including Bode plot construction and bandwidth.

  13. Nyquist Analysis and Stability Margins - Nyquist diagrams, stability criterion, and gain/phase margins.

  14. Steady-State Error Analysis - Steady-state accuracy, error constants, and system type classification.

  15. PID Control and Controller Tuning - Proportional, integral, and derivative control with tuning methods.

  16. Compensator Design and Performance - Lead/lag compensation and performance tradeoffs in control design.

How to Use This Textbook

The chapters are organized to respect concept dependencies—each chapter builds on knowledge from previous chapters. Students should work through the chapters sequentially, as later topics assume familiarity with earlier material. The learning graph visualization shows how concepts connect across the textbook.

Note: Each chapter includes a list of concepts covered. Make sure to complete prerequisites before moving to advanced chapters.