This problem is from the Stochastic Models Estimation and Control Volume I book

Question

This problem is from the Stochastic Models Estimation and Control Volume I book from chapter 2 problem 2.8. Attached is a picture of my block diagram, I dont know if it is correct. I need help with parts A, B, C, and D. I need help for A if it is incorrect.

This problem deals with a pitch attitude control system (PACS)for a rigid rocket vehicle employing a gimbaled rocket motor to obtain pitching torques. A pitching moment is obtained by tilting the rocket motor to give a transverse component of thrust, applied behind the center of gravity. The rocket motor is tilted in its gimbals by means of a hydraulic positioning system described by a transfer function of:

Two gyroscopes are used to produce measurements for feedback. One is an attitude gyro which produces an electrical signal proportional to pitch angle (with proportionality constant K_ag V/deg), and the other is a rate gyro which develops an electrical signal proportional to pitch rate (pro- portionality constant Krg V-sec/deg). Attenuation controls enable you to vary the pitch rate signal level relative to the pitch angle signal level. The objective of a control system design would be to find the best ratio of these signals. These two signals are added, and their sum is then subtracted from a pitch angle command voltage, all by means of a summing amplifier. The pitch angle com- mand voltage is produced by a guidance computei. The output of the summing amplifier is used as the actuating signal for the rocket motor positioning system.

(a) Prepare a block diagram for the PACS.

(b) Generate a time-domain model for this system in the form of a state differential equation and output relation.

(c) Generate a frequency-domain model in the form of a Laplace transform transfer function.

(d) Sketch root locus diagrams for K_ag/K_rg=0,50,125,250 sec^-1. Which of the four would be a good design.

Explanation / Answer

HERE is your solution

www.coursehero.com/...problems/...Engineering/538970-Im-having-tro...‎

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.