Teacher/Instructor: Mr. D. Ravi Kiran
Department
of Electrical & Electronics Engineering
Assistant
Professor
Lesson Plan for a Day
Term/Semester/Year: Sem- II – IV Year - Syllabus 2020-21
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MICRO LESSON
PLAN
Course
Objectives
l To understand the concepts of digital control systems
and assemble various components associated with it. Advantages compared to the
analog type.
l The theory of z–transformations and application for
the mathematical analysis of digital control systems.
l To represent the discrete–time systems in state–space
model and evaluation of state transition matrix.
l To examine the stability of the system using different
tests.
l To study the conventional method of analyzing digital
control systems in the w–plane.
l To study the design of state feedback control by “the
pole placement method.”
Course Outcomes
|
1 |
Factual |
1. Analyze and
learn the advantages of discrete time control
systems and the “know how” of various associated accessories. |
|
2 |
Conceptual |
2. Understand z–transformations and
their role in the mathematical analysis of different systems (like Laplace
transforms in analog systems). |
|
3 |
Procedural |
3. To learn stability
criterion for digital systems and methods adopted for testing |
|
4 |
Applied |
4. Design the
conventional and state space methods |
Textbooks:
1.
Discrete–Time Control systems – K. Ogata, Pearson
Education/PHI, 2nd Edition.
2. Digital Control
and State Variable Methods by M. Gopal, TMH, 4th Edition.
Lesson 1: Introduction and signal
processing
Contents/Activities
Schedule
and Sequence: Day
Plan for Lesson 1 – Introduction and
signal processing
Digital
Control Systems Lesson 1– Total
Classes 9
|
Session/ week |
Topic |
Objectives |
Before Class - Videos, e-Books, Case
studies |
In-Class – Activities, Quiz (Micro teaching) |
Post Class - Assignment, Discussion
Forum |
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|
Day-1
& 2 |
Introduction to Digital Control Systems |
To introduce the concept of digital control systems and its
applications in electric control sector. |
Digital
control systems Textbook, PPT
material. |
Discussion
on pre-requisites (10 Min) PPT
presentation (30 Min) Discussion
or Poll
activity (5 min) Summary
(5min) Doubts
clarification (10 min) |
Learning outcomes – v To
understand the basics and necessity of Digital control systems. |
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|
Day-3 & 4 |
Signals and processing |
To
study Signals and processing |
Digital
control systems Textbook, PPT
material. |
Revise previousclass – (10 mins) PPT presentation – (30 min) quiz(10 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Understand the Signals and
processing |
|||||||||||||
|
Day-5 & 6 |
Sample and hold devices |
To
study Sample and hold devices |
Digital
control systems Textbook, PPT
material. |
Revise previousclass – (10 mins) PPT presentation – (30 min) quiz(10 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: v Understand the Sample and hold
devices |
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|
Day -7 |
Sampling
theorem and data reconstruction |
To know the Sampling theorem and data reconstruction |
Digital
control systems Textbook, PPT
material. Video Link |
Revise previousclass – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning
outcomes – Students should be able to: Sampling
theorem and data reconstruction |
|||||||||||||
|
Day
- 8 &9 |
Frequency domain characteristics of zero order hold. |
To know the Frequency domain characteristics of zero
order hold. |
Digital
control systems Textbook, PPT
material. |
Revise previousclass – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning
outcomes – Students should be able to: l Frequency
domain characteristics of zero order hold. |
|||||||||||||
|
Lesson 2: z–transformations
Contents/Activities
Schedule and
Sequence: Day
Plan for Lesson 2 – z–transformations
Digital
Control Systems Lesson 2 – Total
Classes 9 |
||||||||||||||||||
|
Day-1 |
Introduction to z–Transforms |
To
introduce z–Transforms |
Digital
control systems Textbook, PPT
material. |
Discussion
on pre-requisites (10 Min) PPT
presentation (30 Min) Discussion
or Poll
activity (5 min) Summary
(5min) Doubts
clari-fication (10 min) |
Learning outcomes – Students should be able to: v z–Transforms |
|||||||||||||
|
Day- 2, 3 & 4 |
Theorems – Finding inverse z–transforms |
To
introduce Theorems – Finding inverse z–transforms |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: v Theorems
– Finding inverse z–transforms |
|||||||||||||
|
Day- 5, 6 & 7 |
Formulation
of difference equations and solving |
To
introduce Formulation of difference equations and solving |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain Formulation of difference equations and
solving |
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|
Day- 8 & 9 |
Block
diagram representation – Pulse transfer functions and finding open loop and closed loop responses. |
To
introduce Block diagram representation – Pulse
transfer functions and finding open loop and closed loop responses. |
Digital
control systems Textbook, PPT
material. Video Link https://www.youtube.com/watch?v=GPqcb8Lw27s |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain Block diagram representation – Pulse
transfer functions and finding open loop and closed loop responses. |
|||||||||||||
|
Lesson 3: State space analysis and the concepts of
Controllability and observability
Contents/Activities
Schedule and
Sequence: Day
Plan for Lesson 3 – State space analysis and the concepts of
Controllability and observability
Digital Control Systems Lesson
3 – Total Classes 9 |
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|
Day-1 |
Introduction to State space
representation of discrete time systems |
To
introduce State space representation of discrete time
systems |
Text Book : Pdf (e-book) Upload Digital
control systems Textbook, PPT
material. |
Discussion
on pre-requisites (10 Min) PPT
presentation (30 Min) Discussion
or Poll
activity (5 min) Summary
(5min) Doubts
clari-fication (10 min) |
Learning outcomes – Students should be able to: v Explain about the State space
representation of discrete time systems |
|||||||||||||
|
Day- 2, 3 & 4 |
State
transition matrix and methods of evaluation |
To
introduce State transition matrix and methods of evaluation |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about State transition
matrix and methods of evaluation |
|||||||||||||
|
Day- 5, 6 & 7 |
Discretization of continuous – Time state equations |
To
introduce Discretization of continuous – Time
state equations |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: v Explain Discretization of continuous – Time
state equations |
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|
Day- 8 & 9 |
Concepts
of controllability and observability – Tests(without proof). |
To
introduce Concepts of controllability and observability – Tests(without proof). |
Digital
control systems Textbook, PPT
material. Video Link |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about Concepts of
controllability and observability – Tests (without proof). |
|||||||||||||
|
Lesson 4: Stability analysis
Contents/Activities
Schedule and
Sequence: Day
Plan for Lesson 4 – Stability analysis
Digital Control Systems Lesson
4 – Total Classes 9 |
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|
Day- 1 |
Introduction to Stability
analysis |
Basics
of Stability analysis |
Digital
control systems Textbook, PPT
material. |
Prerequisite
explanation Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: v Explain about Introduction to Stability
analysis |
|||||||||||||
|
Day- 2 & 3 |
Mapping between the s–Plane and the z–Plane |
Mapping between the s–Plane and the z–Plane |
Digital
control systems Textbook, PPT
material. Video Link |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about complete analysis of Mapping
between the s–Plane and the z–Plane |
|||||||||||||
|
Day- 4 & 5 |
Analysis of Primary strips and Complementary strips |
Primary strips and Complementary strips |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about complete analysis of Primary
strips and Complementary strips |
|||||||||||||
|
Day- 6 & 7 |
Analysis of Stability criterion |
Stability criterion Required derivations |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about complete analysis of Stability
criterion |
|||||||||||||
|
Day- 8&9 |
Modified Routh’s
stability criterion and Jury’s stability test. |
Modified Routh’s stability criterion and Jury’s
stability test. |
Digital
control systems Textbook, PPT
material. Video Link |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about complete analysis of Modified
Routh’s stability criterion and Jury’s stability test. |
|||||||||||||
|
Lesson 5: Design of discrete–time control systems by
conventional methods
Contents/Activities
Schedule and
Sequence: Day
Plan for Lesson 5 – Design of discrete–time control systems by
conventional methods
Digital Control Systems Lesson
5 – Total Classes 7 |
||||||||||||||||||
|
Day- 1 |
Introduction to Transient and
steady state specifications |
Basics
of Transient and steady state
specifications |
Digital
control systems Textbook, PPT
material. |
Prerequisite
explanation Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: v Explain about Introduction to Transient
and steady state specifications |
|||||||||||||
|
Day- 2 & 3&4 |
Design
using frequency response in the w–plane for lag and lead compensators |
To
explain Design using frequency response in the
w–plane for lag and lead compensators |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about Design using
frequency response in the w–plane for lag and lead compensators |
|||||||||||||
|
Day- 5 & 6&7 |
Root locus technique in the z–plane. |
Root locus technique in the z–plane. |
Digital
control systems Textbook, PPT
material. Video Link https://www.youtube.com/watch?v=02mmRRS0ks8 |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students should be able to: Explain about Root
locus technique in the z–plane. |
|||||||||||||
|
Lesson 6: State feedback controllers
Contents/Activities
Schedule and
Sequence: Day
Plan for Lesson 6 – State feedback controllers
Digital Control Systems Lesson
6 – Total Classes 9 |
||||||||||||||||||
|
Day - 1 |
State feedback controllers |
Introduction to State
feedback controllers |
Digital
control systems Textbook, PPT
material. Video Link |
Discussion
on pre-requisites (10 Min) PPT
presentation (30 Min) Discussion
or Summary
(5min) Doubts
clari-fication (10 min) |
Learning outcomes – Students
should be able to: Learn introduction
of State feedback controllers |
|||||||||||||
|
Day-2&3&4 |
Design of state feedback controller through pole
placement |
Design of state feedback controller through pole
placement |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students
should be able to: Learn Design
of state feedback controller through pole placement |
|||||||||||||
|
Day-5&6 & 7 |
Necessary
and sufficient conditions |
Necessary
and sufficient conditions |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students
should be able to: Learn Necessary and
sufficient conditions |
|||||||||||||
|
Day-8 & 9 |
Ackerman’s formula. |
Ackerman’s formula. |
Digital
control systems Textbook, PPT
material. |
Revise
previous class – (10 mins) PPT presentation – (30 min) Doubts
clarification (10 min) |
Learning outcomes – Students
should be able to: Learn Ackerman’s
formula. |
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