Chapter 12.

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Presentation transcript:

Chapter 12

Chapter 12

Chapter 12

Chapter 12

a. State-space representation of a plant; b. plant with state-feedback

a. Phase-variable representation for plant; b a. Phase-variable representation for plant; b. plant with state-variable feedback

State-space forms for C(s)/R(s) =(s+ 3)/[(s+ 4)(s+ 6)]. Note: y = c(t)

Pole Placement for Plants in Phase-Variable Form

Pole Placement for Plants in Phase-Variable Form

a. Phase-variable representation for plant of Example 12. 1; b a. Phase-variable representation for plant of Example 12.1; b. plant with state-variable feedback

Controller design for phase-variable form Example 12.1

Controller design for phase-variable form Example 12.1

a. controllable and b. uncontrollable systems

Controllability matrix

a. Signal-flow graph in cascade form for G(s ) =10/[(s + 1)(s + 2)]; b a. Signal-flow graph in cascade form for G(s ) =10/[(s + 1)(s + 2)]; b. system with state feedback added

Controller design by transformation

Controller design by transformation Example

Controller design by transformation Example

Controller design by transformation Example

Designed system with state-variable feedback for Example