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State Space Basics and Design Techniques
Dr. Muhammad Bilal Kadri
State Space Modeling
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Modeling a simple RLC Circuit
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State Space Model
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Generalized Expression
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Contd..
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Matlab Example
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State Equations from Transfer Functions
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Contd..
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Solution of the State Vector Differential Equation
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Example
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Block Diagram
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Mathematical Modeling (Revisited)
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Controllability and Observability
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Definitions
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Example
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State Variable Feedback Design
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Open Loop and Closed Loop Poles
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Block diagram of State Variable Feedback
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Regulator Design by Pole Placement
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a) Direct Comparison Method
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b) Controller Canonical Form
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c) Ackermanns Formula
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Example for pole placement
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Solution
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Contd..
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Direct Comparison Method
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Controller Canonical Form
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Contd..
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c) Ackermanns Formula
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Contd..
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Matlab Command
A=[0 1; 0 -4]
B=[0 ; 1]
P=[-2 ; -2]
K=place(A,B,P) will give error ?
K=acker(A,B,P)
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