LAB REPORT 5

Control Systems

NS Muneeb Masood Raja-359 (B) NS Farhan Ahmad-344 (B)

Department of Mechatronics EngineeringCollege Of Electrical And Mechanical EngineeringEE-432Control SystemsLab #5

Course Title Control SystemCourse Code EE 432Lab# 5Teacher Dr. Azhar IqbalTeaching Assistant Sardar Shazali SikanderDeliverables Lab ReportDeadlines MTS 32 (A) 16/10/2013

MTS 32 (B) 18/10/2013Total Marks 10

You should submit your lab report (including all accompanying code) in the form of a hard copy by the above mentioned deadlines. There will be a penalty of two marks per day for late submission.

You must complete the lab assignment in groups of two. It is mandatory to provide the names of the group members to the teaching assistants.

Objective To analyze poles using Matlab To determine the stability of the system using Routh Hurwitz Criteria

Procedure

This lab is based on the following steps: Review of effects of poles Analysis of poles using Matlab Stability testing using Routh Hurwitz Roll angle control of Boeing 747 The response of Boeing at particular Roll angle

STABILITY TESTING/ROUTH HURWITZ

Lab Problem 7.1

Lab 5. STABILITY TESTING/ROUTH HURWITZ 2

Department of Mechatronics EngineeringCollege Of Electrical And Mechanical EngineeringEE-432Control SystemsLab #5

Response of the Roll Angle of Boeing 747

a) Determine the response of the altitude H for a 2- second pulse of the elevator with the magnitude of 2. Make the plane stable by changing the values in ERROR AMPLIFIER block. Unstable

Lab 5. STABILITY TESTING/ROUTH HURWITZ 3

Department of Mechatronics EngineeringCollege Of Electrical And Mechanical EngineeringEE-432Control SystemsLab #5

Stable

System is stable at values of K<1.6333

b) Find the equivalent transfer function of model simulated above using the Routh Herwitz method to determine the minimum stability conditions for K.

c) Add disturbance step input just before Aileron air flow pressure, which can be termed as aircraft speed. Now with this disturbance and input, try to stabilize the actual angle.

Lab 5. STABILITY TESTING/ROUTH HURWITZ 4

Department of Mechatronics EngineeringCollege Of Electrical And Mechanical EngineeringEE-432Control SystemsLab #5

System will be stable at less values of K and of variance in the random number block.

K=1 and variance=0.2

K=1 and variance=0.2

Lab Task 7.2

A simple model for the roll stabilizer on a large ship is given. Find the system transfer function in terms of the fin actuator gain K, and determine the range of K>0 for which system is stable.

Lab 5. STABILITY TESTING/ROUTH HURWITZ 5

Department of Mechatronics EngineeringCollege Of Electrical And Mechanical EngineeringEE-432Control SystemsLab #5

So system will be stable for K>0 and K<12.5

Lab 5. STABILITY TESTING/ROUTH HURWITZ 6

Department of Mechatronics EngineeringCollege Of Electrical And Mechanical EngineeringEE-432Control SystemsLab #5

K=15

K=12

Lab 5. STABILITY TESTING/ROUTH HURWITZ 7