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Control Systems Engineering 7th Edition Solutions Manual Nise, Exercises of Control Systems Introduction

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Control Systems Engineering 7th Edition Solutions Manual Nise, Exercises of Control Systems Introduction ANSWERS TO REVIEW QUESTIONS 1. Guided missiles, automatic gain control in radio receivers, satellite tracking antenna 2. Yes - power gain, remote control, parameter conversion; No - Expense, complexity 3. Motor, low pass filter, inertia supported between two bearings 4. Closed-loop systems compensate for disturbances by measuring the response, comparing it to the input response (the desired output), and then correcting the output response. 5. Under the condition that the feedback element is other than unity 6. Actuating signal 7. Multiple subsystems can time share the controller. Any adjustments to the controller can be implemented with simply software changes. 8. Stability, transient response, and steady-state error 9. Steady-state, transient 10. It follows a growing transient response until the steady-state response is no longer visible. The system will either destroy itself, reach an equilibrium state because of saturation in driving amplifiers, or hit limit stops. 11. Transient response 12. True 13. Transfer function, state-space, differential equations 14. Transfer function - the Laplace transform of the differential equation State-space - representation of an nth order differential equation as n simultaneous first-order differential equations Differential equation - Modeling a system with its differential equation SOLUTIONS TO PROBLEMS 1. Five turns yields 50 v. Therefore K = 50 volts 5 x 2 rad = 1.59 2 Chapter 1: Introduction + - controls Dancer dynamics Dancer position sensor transducer Motor and drive system Amplifier Amplifier Motor and drive system Sensor & transducer Transducer - + power 2. Desired temperature Temperature difference Voltage difference Fuel flow Actual temperature 3. Desired roll angle Input voltage Error voltage Aileron position Roll rate Roll angle 4. Desired speed Input voltage + - Speed Error voltage Actual speed Voltage proportional to actual speed 5. Desired Input voltage Power Error voltage Rod position Actual power Voltage proportional to actual power + - Thermostat Heater Amplifier and valves Reactor Solutions to Problems 3 Transducer 6. Desired Population Desired student Actual Graduating and drop-out rate Net rate Actual student student population + - error rate student - rate + of influx population 7. Desired Voltage proportional to desired volume Volume error Voltage representing actual volume Actual volume volume + - Effective + volume Voltage proportional to speed Transducer - Speed Volume control circuit Radio Integrate Admissions Administration - 4 Chapter 1: Introduction amplifier R Float -V R -V Differential Potentiometer Float Actuator and valve Amplifiers Potentiometer 8. a. Fluid input +V Desired level Tank Drain b. Desired level voltage in + - Flow rate in + - Actual level Flow rate out voltage out Displacement Drain Integrate Solutions to Problems 5 Armature voltage current Desired + Controller 9. Desired force 10. Actual 11. 12. Desired position Force Depth 13. di a. L dt + Ri = u(t) Commanded blood pressure + Isof

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