## Weekly outline

### Week 1

Lecture 1 topics: Introduction to digital control systems – Ideal sampler – Z- transform definition and properties.

### Week 2

Lecture 2 topics: Difference equations - Transfer function of discrete-time systems- Pulse transfer functions- Handling block diagrams.

Problem set 1: Z-transform.

### Week 3

Lecture 3 topics: Reconstruction of sampled signal- Hold circuits – Closed-loop sampled data systems.

### Week 4

Lecture 4 topics: Stability of sampled-data systems- Jury stability test- Bilinear transformation.

Problem set 2: Pulse transfer functions.

### Week 5

Lecture 5 topics: Bilinear transformation – Time response of sampled data systems – Steady state errors

### Week 6

Lecture 6 topics: Revision – Discrete equivalents of analog components.

Problem set 3: Stability of sampled data systems

### Week 7

Lecture 7 topics: Frequency responce of sampled data systems - using the bilinear transformation.

### Week 8

Lecture 8 topics: Bode plots for discrete-time systems using bilinear transformation – Phase margin calculations.

Problem set 4: Transient Response and Steady-State Errors

### Week 9

Mid-term Exam

### Week 10

Lecture 9 topics: Control design for discrete-time control systems using frequency response methods.

### Week 11

Lecture 10 topics: Modified Z-transform – Input/output relationships with modified Z-transform – Systems with pure delay.

Problem set 5: Frequency responce in sampled-data systems.

### Week 12

lecture 11 topics: Modified Z-transform (cont.)

MATLAB Assignment. Due date is December 21, 2017.

### Week 13

Lecture 12 topics: Applications of the Modified Z-transform.