Hi all,
The problem is described below:
A system has three variables related by difference equations....now all of them are to be directed towards a reference value within a finite time....right now i am using comparison of those variables with reference independently and then using binary search algorithm...it seems like that it works for a two variable problem but i am not able to implement it for three or more variables.....i greatly solicit your suggestions in this regard....thanks a lot

Hi Vivek,
Lot of thanks for your reply......yes the variables are related by  difference equations and may be they are not all independent....so now is there any way to force them to a common value,because it can be nonlinearly controlled(i.e. digital control)...and i actually want it to be generalised for multivariable system....any kind of suggestions are greatly welcome....

manodipan wrote on Jun 9^th, 2009, 1:49am:


Hi,

I would suggest using standard state-space techniques to describe the system and then using analysis techniques to find:
(a) the number of independent variables.
(b) the solution space, so that you may see whether or not it is possible to force all the variables to a common value, and if yes, then what that common value is allowed to be.

I assume that once you have worked out the above two, you may be able to use your binary-search based method to force the variables to a common value. I could not tell you more.

btw, your question actually does not appear to be explicitly related to analog design. Perhaps posting it on another forum would be more helpful.

Regards,

Vivek