Control systems

1. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Control Systems UNIT 5
State Space Analysis
Ripal Patel
Assistant Professor,
Dr.Ambedkar Institute of Technology, Bangalore.
ripal.patel.ec@drait.edu.in
July 9, 2021

2. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
State Space Analysis

3. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Basic Concepts of State Space Model

4. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Example 1

5. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 1

6. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 1

7. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 1

8. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Example 2
Derive a state space model for the system shown:

9. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 2

10. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 2

11. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 2

12. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 2

13. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Example 3
Derive a state space model for the system shown:

14. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 3

15. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Solution Example 3

16. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
STATE SPACE REPRESENTATION OF LINEAR
DIFFERENTIAL EQUATION

17. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
STATE SPACE REPRESENTATION OF LINEAR
DIFFERENTIAL EQUATION

18. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
STATE SPACE REPRESENTATION OF LINEAR
DIFFERENTIAL EQUATION

19. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Example

20. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Example Solution

21. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
State Space to Transfer Function

22. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
State Space to Transfer Function

23. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Example

24. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space
Example Solution

25. 18EC45
Ripal Patel
Introduction
Basic
Concepts of
State Space
Model
State space
representation
for dynamic
systems
State space
representation
using phase
variables
State Space to
Transfer
Function
Transfer
Function to
State Space