CONTROL SYSTEM ANALYSIS USING STATE VARIABLE METHODS

1. UNIT V CONTROL SYSTEM
ANALYSIS USING
STATE VARIABLE METHODS

2. UNIT V CONTROL SYSTEM ANALYSIS USING
STATE VARIABLE METHODS
State variable representation-Conversion of state variable models to
transfer functions-Conversion of transfer functions to state variable
models-State transition matrix- Solution of state equations-Concepts of
Controllability and Observability- control design using state feedback. -
State variable analysis of digital control system

4. State Model

5. State Model

6. State-Space Representations in Canonical Forms.
• controllable canonical form,
• observable canonical form,
• diagonal (or Jordan) canonical form
STATE-SPACE REPRESENTATIONS OF TRANSFER-FUNCTION SYSTEMS

7. Controllable Canonical Form.

9. Observable Canonical Form.

11. Diagonal Canonical Form denominator polynomial distinct-roots case

13. Jordan Canonical Form
Denominator polynomial involves multiple roots.

16. (i)Controllable Canonical Form.

18. Observable Canonical Form

33. SOLUTION OF STATE EQUATIONS

34. COMPUTATION OF STATE TRANSITION
MATRIX
Computation of State Transition Matrix by Laplace Transform Method

50. OBSERVABILITY