Mu Analysis and Synthesis Toolbox

Evaluate general functions of CONSTANT, SYSTEM, and VARYING matrices

Syntax

• [out1,out2,out3,...]= veval('oper',in1,in2,in3,...)
  

Description
The veval function evaluates the command oper on the input matrices. veval works like feval but on collections of VARYING, CONSTANT, and SYSTEM matrices. 'oper' is a character string with the name of a MATLAB function (user written, or MATLAB supplied). The function is applied to each input argument at the independent variable's values. Any CONSTANT or SYSTEM matrix is held at its value while the sweep through the independent variable is performed. veval is currently limited to 10 output arguments, and 13 input arguments. These are both easily changeable. veval can be used to generate and manipulate VARYING, SYSTEM matrices or VARYING matrices whose elements are themselves VARYING matrices. Arbitrary nesting of VARYING matrices is possible.

The veval function is very useful for rapid prototyping of customized commands employing VARYING matrices.

Examples
To show the flexibility of veval, two random SYSTEM matrices are constructed. The poles of each SYSTEM are determined with the spoles command.

• sys1 = sysrand(2,1,1); 
  sys2 = sysrand(2,1,1);
  spoles(sysl)
  ans =
   0.1577
   0.7405
  spoles(sys2)
  ans =
   0.6273
  -0.5661
  

These two SYSTEM matrices are combined to form a VARYING matrix, vsys. The veval command is used to find poles of the VARYING matrix, which consists of the two SYSTEM matrices. A SYSTEM matrix is associated with each independent variable.

• vsys = vpck([sysl;sys2],[1 2]);
  vsyspoles = veval('spoles',vsys);
  see(vsyspoles)
  2 rows1 column
  
  iv = 1
   0.1577
   0.7405
  
  iv = 2
   0.6273
  -0.5661
  

See Also
eval, feval, vebe

veig

vfft, vifft, vspect