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Published byElvin Mangin Modified about 1 year ago

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Digital Control Systems STATE FEEDBACK CONTROLLER DESIGN

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Design via Pole Placement

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Open loop control system

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Design via Pole Placement Closed loop system

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Design via Pole Placement Determination of feedback gain by using controllable canonical form

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Design via Pole Placement Determination of feedback gain by using controllable canonical form

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Design via Pole Placement Determination of feedback gain by Ackermann’s Formula Determination of feedback gain by a causal approach

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Design via Pole Placement Example: Determination of feedback gain by using controllable canonical form: Determination of feedback gain by using Ackermann’s Formula: Determination of feedback gain bycausal method:

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Design via Pole Placement Uncontrollable system: Kalman Controllable Form

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Design via Pole Placement Uncontrollable system: Kalman Controllable Form State Feedback The modes of can be arbitrarily assigned. The modes of is not influenced by state feedback control

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Design via Pole Placement Example: Kalman Controllable Form State Feedback The modes of can be arbitrarily assigned. The modes of is not influenced by state feedback control

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Design via Pole Placement Example: Kalman Controllability Decomposition Desired closed loop poles: -1, -2.5, -2.5 Not: We do not feedback the uncontrollable mode

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Design via Pole Placement Example: Kalman Controllability Decomposition Desired closed loop poles: -1, -2.5, -2.5 Not: We do not feedback the uncontrollable mode

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