ngmvc (NGMV Control Toolbox)

NGMV Control Toolbox

ngmvc

Nonlinear Generalized Minimum Variance controller synthesis

Syntax

```
[C_CASCADE,C_LOOP] = NGMVC(A,k,Bk,Cd,Er,Pcn,Pcd{,Ts})
```
[C_CASCADE,C_LOOP,F0,G0,Df] = NGMVC(A,Bk,k,Cd,Er,Pcn,Pcd,Fck,Fcd)

Description

This function computes the linear cascade and loop compensators of the NGMV controller structure such that the cost function

is minimized and subject to the plant, disturbance and reference models

Ts is the sampling time in seconds. If omitted, it is set to the default value –1. The additional output arguments are the spectral factor Df and the solution to the Diophantine equation F0 and G0.

The linear compensators are constructed as follows:

and

where

      -- spectral factorization

        -- LMF to RMF conversion

       -- Diophantine equation

If the input arguments are polynomial matrices in PolyX format then the function computes the NGMV controller for MIMO plants. The second argument in this case is a diagonal polynomial matrix of pure delays or could also be given as a scalar (common delay).

See Also

gmvc

nghinf

ngmvct