Mult&T: [P Q]=lmpf(op) - File Exchange

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Highlights from
Mult&T

creditos()
multitool(varargin) MULTITOOL MULTI Design Tool
questimp(varargin)
[A B C D T]=hoform(Gt,W) HOFORM Finds the Ho canonical form of a LTI MIMO SYS model.
[A B C D]=gauthierform(P,Q) GAUTHIERFORM Gauthier minimal algoritm of a MPF model.
[A B C D]=gilbertform(Gt) GILBERTFORM Finds the Gilbert form of a LTI MIMO SYS model.
[A B C D]=lcfform(Gt) LCFFORM Finds the minimal realization by method fraction left coprime.
[A B C D]=lmpf2ss(D1,N) LMPF2SS Finds the realization by method fraction coprime of a LTI
[A B C D]=minhoform(sys) MINHOFORM Finds the Minimal realization by method Ho.
[A B C D]=rcfform(Gt) RCFFORM Finds the minimal realization by method right fraction coprime.
[A B C D]=rmpf2ss(D1,N) RMPF2SS Find the realization by method fraction coprime of a MPF.
[A B C D]=silvermanform(Gt) SILVERMANFORM Finds the minimal realization by method Silverman.
[A B C D]=state(op) STATE state 45 examples in space-state.
[A B C D]=wolovichform(Gt) WOLOVICHFORM Realization by method Wolovich of a LTI MIMO SYS model.
[A B C P]=cx2rJ(A,B,C) CX2RJ Complex to real Jordan format.
[Aj,Bj,Cj,Dj]=exjordanform(Gt... EXJORDANFORM Finds the extended Jordan form of a LTI MIMO SYS model.
[Aj,Bj,Cj,Dj]=jordanform(Gt) JORDANFORM Finds the Jordan form of a LTI MIMO SYS model.
[D N]=mtf2lcf(G) MTF2LCF Matrix Transfer Function to Left Coprime Fraction.
[D N]=mtf2lmpf(Gt) MTF2LMPF Matrix Transfer Function to Left Matrix Fraction Description.
[D N]=mtf2rcf(G) MTF2RCF Matrix Transfer Function to Right Coprime Fraction.
[D N]=mtf2rmpf(Gt) MTF2RMPF Matrix Transfer Function to Right Matrix Polynomial Fraction.
[Dhc Dlc]=uplowM(D) UPLOWM Find the matrices with the hight and low coeficients.
[G]=ss2mtf(A,B,C,D) SS2MTF Convert state-space filter parameters to Matrix Transfer Function.
[Gsp Ginf]=mtfsp(G) MTFSP Strictly Proper Matrix Transfer Function.
[Gt]=lcf2mtf(D,N,Ginf) LCF2MTF Left Coprime Fraction to Matrix Transfer Function.
[Gt]=mtf(op)
[Gt]=rcf2mtf(D,N,Ginf) RCF2MTF Right Coprime Fraction to Matrix Transfer Function.
[M]=normcell(M,op) NORMCELL Normalize cell.
[P Q]=lmpf(op) LMPF 23 Examples in Left MPF Format cell.
[P Q]=ss2lmpf(sys) SS2LMPF State-space to Left Matrix Polynomial Fraction.
[P Q]=ss2rmpf(sys) SS2RMPF State-space to Right Matrix Polynomial Fraction.
[Pm Qm]=mpfred(P,Q) MPFRED Finds the minimal reduction of MPF.
[S dep lidep]=mSilvester(D,N,... MSILVESTER Find the Matrix Silvester.
[ar br cr dr]=minjordanform(s... MINJORDANFORM Finds the Minimal realization by method irreducible Jordan.
[i pnc]=islmpfc(P,Q) ISLMPFC Determine if the left MPF is controlable.
[i pnc]=isrmpfo(P,Q) ISRMPFO Determine if the Right MPF is observable.
[polo n ni]=polindex(Aj) POLINDEX Finds the index of Polynomial characteristic and the minimal.
[rp k]=mresidue(Gt) MRESIDUE Partial fraction expansion of Matrix Transfer Function.
[v Q Af Bf Cf]=canonform(A,B,... CANONFORM Find a observability and controlability canonical form.
[varargout]=cell2sym(varargin... CELL2SYM Cell format to sym format in operator differential.
[varargout]=cellround(varargi... CELLROUND Round to nearest integer in each cell.
[varargout]=sym2cell(varargin... SYM2CELL Sym matrix polynomial format to cell format.
creditos_1(action)
datagrid_cb(action)
i=iscolred(M) ISCOLRED Determine if the MPF is column reduced.
i=isrowred(M) ISROWRED Determine is the MPF is row reduced.
k=coXm(A,B,C) COXM Check the observability and controlability for mode.
mytimer(obj, event, op)
n=mindeg(sys) MINDEG Degree minimal of LTI MIMO SYS model.
polezero(sys) POLEZERO Pole and zeros of LTI MIMO SYS model.
rga(a,b,c,d,w)
smform(a,b,c,d) SMFORM Finds the Smith-McMillan form of a LTI MIMO SYS model**.
ss2sym(a,b,c,d) SS2SYM State Space to Symbolic Transfer Function conversion**.
sym2tf(g) SYM2TF Symbolic Transfer Function to Numerical Transfer Function**.
tf2sym(G) TF2SYM Numerical Transfer Function to Symbolic Transfer Function**.
v=findv(M,op) FINDV Find the blocks in matrix Jordan or the indices of MPF.
Contents.m
report.html
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from Mult&T by Franklin Pineda
Find realizations of multivariable systems. Created for Msc. students at the UANDES and UAC.

[P Q]=lmpf(op)

function [P Q]=lmpf(op)
%LMPF 23 Examples in Left MPF Format cell.
switch op
    case 1
        P{1,1}=[1 -2 0];P{1,2}=1;P{2,1}=[1 -2];P{2,2}=[1 0];
        Q{1,1}=[1 1];Q{1,2}=4;Q{2,1}=[-1 -1];Q{2,2}=-3;
    case 2
        P{1,1}=[1 0 0 0];P{1,2}=0;P{2,1}=0;P{2,2}=[1 0 0];
        Q{1,1}=[1 0 1];Q{1,2}=[2 0 0 0];Q{1,3}=[2 1 0];Q{2,1}=[1 3];Q{2,2}=0;Q{2,3}=[2 0];
    case 3
        P{1,1}=[1 -3 2];P{1,2}=0;P{2,1}=[-4 1];P{2,2}=[-1 1];
        Q{1,1}=[1 1];Q{1,2}=6;Q{2,1}=1;Q{2,2}=5;
    case 4
        P{1,1}=[1 1 1];P{1,2}=-1;P{2,1}=[-1 0];P{2,2}=[1 1];
        Q{1,1}=-1;Q{1,2}=[1 0];Q{2,1}=2;Q{2,2}=[1 -1];
    case 6
        P{1,1}=[1 0 0];P{1,2}=1;P{2,1}=[1 0];P{2,2}=[1 0];
        Q{1,1}=[1 1];Q{1,2}=-1;Q{2,1}=0;Q{2,2}=1;
    case 5
        P{1,1}=[1 0 0];P{1,2}=0;P{1,3}=1;P{2,1}=[1 0];P{2,2}=[1 1 1];P{2,3}=0;P{3,1}=[-3 2];P{3,2}=[-3 -3];P{3,3}=[1 0];
        Q{1,1}=[-1 0];Q{1,2}=0;Q{1,3}=-1;Q{2,1}=0;Q{2,2}=[1 -1];Q{2,3}=-1;Q{3,1}=-1;Q{3,2}=3;Q{3,3}=[-3 3];
    case 7
        P{1,1}=[1 -1 0];P{1,2}=0;P{2,1}=[6/5 3];P{2,2}=[1 1];
        Q{1,1}=[-5 0];Q{1,2}=[-9 -11];Q{2,1}=-1;Q{2,2}=-9/5;
    case 8
        P{1,1}=[1 0 0];P{1,2}=1;P{2,1}=[1 -2];P{2,2}=[1 0];
        Q{1,1}=[1 1];Q{1,2}=-1;Q{2,1}=0;Q{2,2}=1;
    case 9
        P{1,1}=[1 2 -3];P{1,2}=[1 0 -1];P{2,1}=[1 8 12];P{2,2}=[1 5 4];
        Q{1,1}=1;Q{1,2}=4;Q{2,1}=-4;Q{2,2}=-5;
    case 10
        P{1,1}=[1 0 0 0];P{1,2}=[1 0 0];P{2,1}=[1 0 0];P{2,2}=[1 1];
        Q{1,1}=[1 0];Q{1,2}=[1 1];Q{2,1}=1;Q{2,2}=1;
    case 11
        P{1,1}=[1 0 -4 0];P{1,2}=[1 -1 -2];P{2,1}=[1 1 1];P{2,2}=[1 1];
        Q{1,1}=[1 1];Q{1,2}=[1 4];Q{2,1}=0;Q{2,2}=1;
    case 12
        P{1,1}=[1 0 -4 0];P{1,2}=[1 1 1];P{2,1}=[1 -1 -2];P{2,2}=[1 1];
        Q{1,1}=[1 1];Q{1,2}=[1 4];Q{2,1}=0;Q{2,2}=1;
    case 13
        P{1,1}=[1 0 0 0];P{1,2}=[1 1 1];P{2,1}=[2 0 2];P{2,2}=[2 0];
        Q{1,1}=[1 2];Q{1,2}=1;Q{2,1}=2;Q{2,2}=2;
    case 14
        P{1,1}=[1 1 0];P{1,2}=[1 1];P{2,1}=[1 1 1 0];P{2,2}=[1 2 0];
        Q{1,1}=[1 1];Q{1,2}=0;Q{2,1}=[1 1 0];Q{2,2}=1;
    case 15
        P{1,1}=[1 0 -4 0];P{1,2}=[1 1 1];P{2,1}=[1 -4 0 8];P{2,2}=[1 -3 -3];
        Q{1,1}=[1 1];Q{1,2}=[1 4];Q{2,1}=[1 1];Q{2,2}=[1 0];
    case 16
        P{1,1}=[1 0 0 0];P{1,2}=[1 0 0 0];P{1,3}=[1 0 0];P{2,1}=[1 1];P{2,2}=[2 0 0 0];P{2,3}=[1 1 1];P{3,1}=[1 0 0];P{3,2}=[1 1];P{3,3}=[1 0];
        Q{1,1}=[-1 1 0];Q{1,2}=1;Q{2,1}=1;Q{2,2}=0;Q{3,1}=1;Q{3,2}=[1 1];
    case 17
        P{1,1}=2;P{1,2}=[3 0 0];P{1,3}=[1 0];P{2,1}=[1 0 0];P{2,2}=0;P{2,3}=1;P{3,1}=[1 0];P{3,2}=[1 1 1];P{3,3}=0;
        Q{1,1}=-1;Q{1,2}=[-3 0];Q{1,3}=[-3 0];Q{2,1}=[-1 0];Q{2,2}=0;Q{2,3}=-1;Q{3,1}=0;Q{3,2}=[1 -1];Q{3,3}=-1;
    case 18
        P{1,1}=[2 0 2];P{1,2}=[2 0];P{2,1}=[1 0 0 0];P{2,2}=[1 1 1];
        Q{1,1}=2;Q{1,2}=2;Q{2,1}=[1 2];Q{2,2}=1;
    case 19
        P{1,1}=[1 0 0 0];P{1,2}=[1 0 0];P{2,1}=[1 0 0];P{2,2}=[1 1];
        Q{1,1}=[2 0];Q{1,2}=[1 0];Q{2,1}=1;Q{2,2}=1;
    case 20
        P{1,1}=[2 -2 -3 2];P{1,2}=[-2 -1 1];P{2,1}=[-1 1 2 0];P{2,2}=[1 1 0];
        Q{1,1}=[4 2 4];Q{1,2}=[-2 5];Q{2,1}=[-2 -1 -1];Q{2,2}=[1 1];
    case 21
        P{1,1}=[2 -2 -3 2];P{1,2}=[-2 -1 1];P{2,1}=[-1 1 2 0];P{2,2}=[1 1 0];
        Q{1,1}=[4 2 4];Q{1,2}=[-2 5];Q{2,1}=[-2 -1 -1];Q{2,2}=[1 -1];
    case 22
        P{1,1}=2;P{1,2}=[3 0 0];P{1,3}=[1 0];P{2,1}=[1 0 0];P{2,2}=0;P{2,3}=1;P{3,1}=[1 0];P{3,2}=[1 1 1];P{3,3}=0;
        Q{1,1}=-1;Q{1,2}=0;Q{1,3}=[-3 0];Q{2,1}=[-1 0];Q{2,2}=0;Q{2,3}=-1;Q{3,1}=0;Q{3,2}=[1 -1];Q{3,3}=-1;
    case 23
        P{1,1}=2;P{1,2}=[3 0 0];P{1,3}=[1 0];P{2,1}=[1 0 0];P{2,2}=0;P{2,3}=1;P{3,1}=[1 0];P{3,2}=[1 1 1];P{3,3}=0;
        Q{1,1}=-1;Q{1,2}=[1 0 0];Q{1,3}=[-3 0];Q{2,1}=[-1 0];Q{2,2}=0;Q{2,3}=-1;Q{3,1}=0;Q{3,2}=[1 -1];Q{3,3}=-1;
    case 'z'
        P=23;
end

Highlights from Mult&T

Highlights from
Mult&T