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Explore state feedback controller design using various methods such as controllable canonical form and Ackermann's formula. Learn how to determine feedback gain and achieve arbitrary pole placement in open and closed-loop systems. Example illustrations and Kalman controllability theory are included.
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Digital Control Systems STATE FEEDBACK CONTROLLER DESIGN
Design viaPolePlacement Open loopcontrolsystem
Design viaPolePlacement Closedloopsystem
Design viaPolePlacement Determination of feedbackgainbyusingcontrollablecanonical form
Design viaPolePlacement Determination of feedbackgainbyusingcontrollablecanonical form
Design viaPolePlacement Determination of feedbackgainbyAckermann’sFormula Determination of feedbackgainby a causalapproach
Design viaPolePlacement Example: rank( )=2 Arbitrarypoleplacement is possible.
Design viaPolePlacement Example: Determination of feedbackgainbyusingcontrollablecanonical form
Design viaPolePlacement Example: Determination of feedbackgainbyusingAckermann’s Formula
Design viaPolePlacement Example: Determination of feedbackgainbyusingcausalapproach
Design viaPolePlacement Kalman Controllable Form Uncontrollablesystem:
Design viaPolePlacement Kalman Controllable Form State Feedback Uncontrollablesystem: Themodes of can be arbitrarilyassigned. Themodes of is not influencedbystatefeedbackcontrol
Design viaPolePlacement Kalman Controllable Form State Feedback Example: Themodes of can be arbitrarilyassigned. Themodes of is not influencedbystatefeedbackcontrol
Design viaPolePlacement Example: Kalman ControllabilityDecomposition Desiredclosedlooppoles: -1, -2.5, -2.5 Not: We do not feedbacktheuncontrollablemode
Design viaPolePlacement Example: Kalman ControllabilityDecomposition Desiredclosedlooppoles: -1, -2.5, -2.5 Not: We do not feedbacktheuncontrollablemode