linear Control

Laplace Transform Theorems. Inverse Laplace Transformation.

3. Mathematical Modeling of Dynamic Systems. Transfer Function and Impulse-Response Function.

Automatic Control Systems. Mechanical Systems. Electrical and Electronic Systems. Signal Flow Graphs.

4. Transient and Steady-State Response Analyses. First-Order Systems. Second-Order Systems.

Higher-Order Systems. Transient-Response Analysis with MATLAB. An Example Problem Solved with MATLAB.

Routh's Stability Criterion. Effects of Integral and Derivative Control Actions on System Performance.

Steady-State Errors in Unity-Feedback Control Systems.

5. Root-Locus Analysis. Root-Locus Plots. Summary of General Rules for Constructing Root Loci.

Root-Locus Plots with MATLAB. Conditionally Stable Systems.

6. Frequency-Response Analysis. Bode Diagrams. Plotting Bode Diagrams with MATLAB. Polar Plots.

Drawing Nyquist Plots with MATLAB. Log-Magnitude-versus-Phase Plots. Nyquist Stability Criterion.

Stability Analysis. Relative Stability. Closed-Loop Frequency Response of Unity-Feedback Systems.

7. Control Systems Design by the Root-Locus Method. Preliminary Design Considerations. Lead Compensation.

Lag Compensation. Lag-Lead Compensation. Parallel Compensation.

8. Control Systems Design by Frequency Response. Lead Compensation. Lag Compensation.

Lag-Lead Compensation. Concluding Comments.

9. PID Controls and Two-Degrees-of-Freedom Control Systems. Tuning Rules for PID Controllers.

10. Analysis of Control Systems in State Space. State-Space Representations of Transfer-Function Systems.

Transformation of System Models with MATLAB. Solving the Time-Invariant State Equation.

11. Design of Control Systems in State Space. Pole Placement.

Grading:

1. Homework: 15%-24%

2. Mid-term exam: 25%

3. Final exam: 51%-60%