Engineering Optimization: Theory and Practice, Fourth Edition

7.23 MATLAB Solution of Constrained Optimization Problems 475

Step 3: Invoke constrained optimization program (write this in new MATLAB file).

clc

clear all

warning off

x0 = [.1,.1, 3.0]; % Starting guess

fprintf ('The values of function value and constraints at

starting pointn');

f=objfun (x0)

[c, ceq] = constraints (x0)

options = optimset ('LargeScale', 'off');

[x, fval]=fmincon (@objfun, x0, [], [], [], [], [], [],

@constraints, options)

fprintf ('The values of constraints at optimum solutionn');

[c, ceq] = constraints (x)

% Check the constraint values at x

This Produces the Solution or Ouput as follows:

The values of function value and constraints at

starting point

f=

4.0410

c=

-8.9800

-5.0200

-2.0000

-0.1000

-0.1000

-3.0000

ceq =

[]

Optimization terminated: first-order optimality measure

less

than options. TolFun and maximum constraint violation is

less

than options.TolCon.

Active inequalities (to within options.TolCon = 1e-006):

lower upper ineqlin ineqnonlin

1

2

4

x=

0 1.4142 1.4142

fval =

1.4142

The values of constraints at optimum solution

c=