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Engineering
Chemical Engineering
Process Control and Optimization
1. Introduction to Process Control
2. Mathematical Modeling of Chemical Processes
3. Feedback Control Systems
4. Stability of Closed-Loop Systems
5. Advanced Control Strategies
6. Model Predictive Control (MPC)
7. Process Optimization
8. Real-Time Optimization (RTO)
9. Practical Implementation and Applications
4.
Stability of Closed-Loop Systems
4.1.
Concept of Stability
4.1.1.
Definitions of Stability
4.1.2.
Bounded Input-Bounded Output (BIBO) Stability
4.1.3.
Asymptotic Stability
4.1.4.
Marginal Stability
4.2.
Routh Stability Criterion
4.2.1.
Construction of Routh Array
4.2.2.
Application to Characteristic Equations
4.2.3.
Interpretation of Results
4.2.4.
Special Cases
4.3.
Root Locus Analysis
4.3.1.
Root Locus Construction Rules
4.3.2.
Effect of Controller Parameters
4.3.3.
Stability Assessment
4.3.4.
Design Using Root Locus
4.4.
Frequency Response Analysis
4.4.1.
Bode Plots
4.4.1.1.
Construction of Bode Plots
4.4.1.2.
Magnitude Ratio
4.4.1.3.
Phase Angle
4.4.1.4.
Interpretation of Bode Plots
4.4.1.5.
Asymptotic Approximations
4.4.2.
Nyquist Plots
4.4.2.1.
Construction and Interpretation
4.4.2.2.
Nyquist Stability Criterion
4.4.2.3.
Encirclement Principle
4.4.3.
Stability Margins
4.4.3.1.
Gain Margin
4.4.3.2.
Phase Margin
4.4.3.3.
Determination from Plots
4.4.3.4.
Design Specifications
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5. Advanced Control Strategies