How to create a mathematical expression which contains delays using Symbolic Math Toolbox?

Hi everyone,

I'm trying to create a mathematical expression which contains some nonlinear terms like delays, interfaces etc., using symbolic math toolbox. An example of my code is as follows.

syms I1 I2 I3 I4 I5
terms = [I1.^2 I2-4 I1*I3-4 I4-8 I5]
theta = [1 2 1 1 5]'
Y = terms*theta

Here the term ''I3-4'' indicates the input I3 with a time delay of 4 seconds(I3(t-4)).I'm having the following issue

1. When I multiply terms and theta, it is giving me output as

Y =

instead of

Y = I1^2+2*(I2-4)+I1*(I3-4)+(I4-8)+5*I5

I understood that matlab is using BODMAS rule, but is there any correct way to create delay terms using Symbolic Math Toolbox. Can some one help me regarding this issue?

Thanks

Answer 1

[Raghunandan V]

Hi,

There is mistake in the coe :)

And the term I1*I3-4 is not the same you explained. Here it follows BODMAS rule.

I1*I3-4 = (I1*I3) - 4

NOT I1*(I3-4)

Regards,

Raghunandan V

Answer 2

[Sayyed Ahmad]

matlab multiplied and simplified your codes;

Y = I1^2+2*(I2-4)+I1*(I3-4)+(I4-8)+5*I5

Y = I1^2+2*I2-8+I1*I3-4+I4-8+5*I5

simpliefied to

Y= I1^2+I3.I1+ ... %highest order

2.I2+ ... % I2 to I5

I4+ ...

5.I5+ ...

-20 %constant

[Raghunandan V]

I1*(I3-4) is not I1*I3-4 but I1*I3- 4*I1. Check the calc

[Raja Vardhan Reddy Kothakapu]

yes, I understood that Matlab uses BODMAS rule. Some how I need to create this delay terms and pass them to the function handle , thats why I'm using I3-4 instead of I3(t-4). Maybe my question should be is there any correct way to create delay terms using symbolic math toolbax

Thanks @Raghunandan V and @Sayyed Ahmad