Side view of pedestal Power Amplifier Difference Amplifier

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Side view of pedestal Power Amplifier Difference Amplifier Voltage proportional to desired angle Error

Side view of pedestal Power Amplifier Difference Amplifier Voltage proportional to desired angle Error Antenna Motor Voltage proportional to angle Motor Binary Code Motor Shaft Gears Data Hold ` Top view of pedestal Shaft Encoder

Power Amplifier Motor/antenna Input Gain + - Sensor Power Amplifier Motor/antenna Input Gain 0.

Power Amplifier Motor/antenna Input Gain + - Sensor Power Amplifier Motor/antenna Input Gain 0. 04 + - 0. 04 Sensor

Power Amplifier Motor/antenna Input Gain 0. 04 + - Sensor + - Amplifier &

Power Amplifier Motor/antenna Input Gain 0. 04 + - Sensor + - Amplifier & Thrusters Thruster Satellite Torque Sensor Thruster

+ + © Copyright Paul Oh

+ + © Copyright Paul Oh

 + - + - + + © Copyright Paul Oh

+ - + - + + © Copyright Paul Oh

 + - + + © Copyright Paul Oh

+ - + + © Copyright Paul Oh

 + - Compensator Sensor © Copyright Paul Oh

+ - Compensator Sensor © Copyright Paul Oh

+ + © Copyright Paul Oh

+ + © Copyright Paul Oh

Block Diagrams Definition: A block diagram of a system is a pictorial representation of

Block Diagrams Definition: A block diagram of a system is a pictorial representation of the functions performed by each component and of the flow of signals • All system variables are linked to each other thru functional blocks • Functional block (or simply blocks) is a symbol for the mathematical operation on the input signal to the block that produces the output • The transfer function of a component is usually entered in the block • Blocks are connected by arrows to indicate signal flow • Dimensions of the output signal from the block are the dimensions of the input multiplied by the dimensions of the transfer function in that block © Copyright Paul Oh

Block Diagram of a Closed Loop system + - Or, pictorially have © Copyright

Block Diagram of a Closed Loop system + - Or, pictorially have © Copyright Paul Oh

Open-Loop Transfer Function (OLTF) + - Additionally Hence Feed-Forward Transfer Function (FFTF) © Copyright

Open-Loop Transfer Function (OLTF) + - Additionally Hence Feed-Forward Transfer Function (FFTF) © Copyright Paul Oh

Closed-Loop Transfer Function (CLTF) + - Or, pictorially have © Copyright Paul Oh

Closed-Loop Transfer Function (CLTF) + - Or, pictorially have © Copyright Paul Oh

Transfer Function of Cascaded Elements Or, pictorially have • Assumes input impedance second element

Transfer Function of Cascaded Elements Or, pictorially have • Assumes input impedance second element is infinite • Assumes output of first element is not affected by connecting to second element • Transfer function of whole systems is thus product of the transfer functions of the individual elements © Copyright Paul Oh

Example: Kuo p. 105 Example: Simplify the block diagram shown below + + -

Example: Kuo p. 105 Example: Simplify the block diagram shown below + + - + Solution: Step 1: Look for parallel blocks to simplify structures + - + + © Copyright Paul Oh

Example: Kuo p. 105 Step 2 Recognize closed-loop relationships + - Factoring, have Alternatively

Example: Kuo p. 105 Step 2 Recognize closed-loop relationships + - Factoring, have Alternatively + Alternatively + © Copyright Paul Oh

Example: Kuo p. 105 Step 3 Combine blocks + - + + Final Answer

Example: Kuo p. 105 Step 3 Combine blocks + - + + Final Answer © Copyright Paul Oh