**Part One Basics of Process Dynamics**

**1 Mathematical Representations of Linear Processes**

1.1 Introduction to Process Control and Identification

1.2 Properties of Linear Processes

1.4 Transfer Function and State-Space Systems

2.1 Simulating Processes Composed of Differential Equations

2.2 Simulating Processes Including Time Delay

2.3 Simulating Closed-Loop Control Systems

2.4 Useful Numerical Analysis Methods

**3 Dynamic Behavior of Linear Processes**

3.1 Low-Order Plus Time-Delay Processes

3.2 Process Reaction Curve Method

**4 Proportional-Integral-Derivative Control**

4.2 Roles of Three Parts of Proportional-Integral-Derivative Controllers

4.4 Commercial Proportional-Integral-Derivative Controllers

**5 Proportional-Integral-Derivative Controller Tuning**

5.2 Simple Process Identification Methods

5.3 Ziegler-Nichols Tuning Rule

5.4 Internal Model Control Tuning Rule

5.7 Optimal Gain Margin Tuning Rule for an Unstable Second-Order ...

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