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State Variable Analysis
(Observability & Controllability)
Presented by
Mr. C.S.Satheesh, M.E.,
Assistant Professor, Department of EEE,
Muthayammal Engineering College (Autonomous)
Namakkal (Dt), Rasipuram – 637408.
MUTHAYAMMAL ENGINEERING COLLEGE
(An Autonomous Institution)
(Approved by AICTE, New Delhi, Accredited by NAAC, NBA & Affiliated to Anna University),
Rasipuram - 637 408, Namakkal Dist., Tamil Nadu, India.
STATE VARIABLE ANALYSIS
• Concept of state variables
• State models for linear and time invariant Systems
• Solution of state and output equation in controllable
canonical form
• Concepts of controllability and observability
• Effect of state feedback.
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
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34
35
36
37
38
39
40
41
42
Hence, the rank of Q0=n=2,therefore, the system is observable
References :
 A.Nagoorkani, Control Systems,
RBA Publications.
4/5/2021 65
Thank You
66

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State variable analysis (observability & controllability)

  • 1. State Variable Analysis (Observability & Controllability) Presented by Mr. C.S.Satheesh, M.E., Assistant Professor, Department of EEE, Muthayammal Engineering College (Autonomous) Namakkal (Dt), Rasipuram – 637408. MUTHAYAMMAL ENGINEERING COLLEGE (An Autonomous Institution) (Approved by AICTE, New Delhi, Accredited by NAAC, NBA & Affiliated to Anna University), Rasipuram - 637 408, Namakkal Dist., Tamil Nadu, India.
  • 2. STATE VARIABLE ANALYSIS • Concept of state variables • State models for linear and time invariant Systems • Solution of state and output equation in controllable canonical form • Concepts of controllability and observability • Effect of state feedback.
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  • 60.
  • 61. Hence, the rank of Q0=n=2,therefore, the system is observable
  • 62.
  • 63.
  • 64.
  • 65. References :  A.Nagoorkani, Control Systems, RBA Publications. 4/5/2021 65