Introduction to Matlab

Topics: Step response, Control theory, Systems theory Pages: 2 (251 words) Published: December 2, 2012
Lab 1
Introduction to MATLAB and Simulink
1. The student should be able to understand the used of Matlab simulation package for analysis. 2. The student should be able to understand the used of simulink tool to analyse a given system.

Part A: Matlab programming 1) Use MATLAB to generate the transfer function

G(s) =

5(s+15)(s+26)(s+72) s(s+55)(s+47)(s+56)(s+89)

in the following ways: The ratio of factors (i) (ii) The ratio of polynomials (b) Test the transfer function for (i) Stability Step response. Peak time? Settling time? % Overshoot? (ii) (iii) Steady state error for a unit step input


Part B: Simulink tool. 1) Find the transfer function T(s) = C(s)/R(s) for the system shown in Figure 1. Given that G1(s) = 1/(s+7), G2(s) = 1/(s2+2s+3), G3(s) = 1/(s+4), G4 = 1/s G5(s) = 5/(s+7), G6(s) = 1/(s2 + 5s+10), G7=3/(s+2) and G8 = 1/(s+6). {Hint : Use the connect and blkbuild commands in MATLAB's Control System Toolbox} (a) Analyse the system for stability, steady-state error and time response to a unit step input, a unit ramp input and a hyperbolic input. (b) Connect the blocks in SIMULINK and verify for the time response obtained in (a) .


G6(s) R(s) G1(s) + + + G3(s) + G7(s) + G2(s) + + G4(s) +



Figure 1

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