List of Commands

List of Commands

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GLOBAL STRUCTURE
gensym		Set global variable symbol for polynomial matrices.
gprop		Set/modify global polynomial properties.
pformat		Set output format.
pinit		Initialize the Polynomial Toolbox.
checkpb		Check conflicts of Polynomial toolbox variables.
pver		Polynomial Toolbox version information.
pversion		Polynomial Toolbox version number.
tolerance		Set global relative tolerance.
userdata		Set or return user data of polynomial object.
verbose		Set global verbose level
POLYNOMIAL MATRIX OBJECT
deg		Extract various degrees matrices.
lcoef		Extract various leading coefficient matrices.
lop		Create a polynomial matrix object.
pol		Create a polynomial matrix object.
pprop		Set/modify properties of polynomial matrix.
symbol		Set or return variable symbol of polynomial matrix.
CONVERTORS
bhf		Converts realization (A,B,C) into upper Hessenberg form.
bhf2rmf		Converts realization into a right coprime MFD.
dsp2pol		Conversion from DSP format to Polynomial Toolbox format.
dss2lmf		Descriptor state space to left mfd.
dss2rmf		Descriptor state space to right mfd.
dss2ss		Descriptor system to Stace Space system.
dssreg		Regularization of a standard descriptor plant.
lmf2dss		Left mfd to descriptor state space.
lmf2rat		Left mfd to polynomial numerator and denominator matrices.
lmf2rmf		Left-to-Right conversion of mfd.
lmf2ss		LMF to Observer-form realization (A,B,C,D).
lmf2tf		LMF to Control System Toolbox transfer function.
lmf2zpk		LMF to Control System Toolbox zero-pole-gain.
lti2lmf		LTI object to Left Polynomial Matrix Fraction.
lti2rmf		LTI object to Right Polynomial Matrix Fraction.
mat2pol		Conversion from Matlab format to Polynomial Toolbox format.
new2old		Conversion to old polynomial matrix format.
old2new		Conversion from old polynomial format to new.
pol2dsp		Conversion from Polynomial Toolbox format to DSP format.
pol2mat		Conversion from Polynomial Toolbox format to Matlab format.
pol2root		Extract zeros and gains of polynomial matrix.
pol2tex NEW		Formats a polynomial matrix for use in a LaTeX document
rat2lmf		Polynomial numerator and denominator matrices to left mfd.
rat2rmf		Polynomial numerator and denominator matrices to right mfd.
reverse		Reverse the variable of PMF.
rmf2dss		Right mfd to descriptor state space.
rmf2lmf		Right-to-Left conversion of mfd.
rmf2rat		Right mfd to polynomial numerator and denominator matrices.
rmf2ss		RMF to Controller-form realization (A,B,C,D).
rmf2tf		RMF to Control System Toolbox transfer function.
rmf2zpk		RMF to Control System Toolbox zero-pole-gain.
root2pol		Construct polynomial matrix from its zeros and gains.
ss		LMF or RMF to LTI object in state space form.
ss2dss		State space to Descriptor State Space.
ss2lmf		State space to left matrix fraction conversion.
ss2rmf		State space to right matrix fraction conversion.
sym		Conversion from polynomial matrix to symbolic format.
tf		LMF or RMF to LTI object in transfer function form.
tf2lmf		Control System Toolbox Transfer Function to LMF.
tf2rmf		Control System Toolbox Transfer Function to RMF.
zpk		LMF or RMF to LTI object in zero-pole-gain-form.
zpk2lmf		Zero-pole-gain to left matrix fraction.
zpk2rmf		Zero-pole-gain to right matrix fraction.
OVERLOADED OPERATIONS
char		Convert a polynomial object to cell array of strings.
ctranspose (')		Conjugate transposition.
display		Command window display of polynomial matrix.
eq		Equality test for polynomial matrices.
fliplr		Flip a polynomial matrix in left/right direction.
flipud		Flip a polynomial matrix in up/down direction.
horzcat ([,])		Horizontal concatenation of polynomial matrices.
kron		Kronecker tensor product of polynomial matrices.
ldivide (.\)		Left polynomial array divide.
minus (-)		Binary subtraction of polynomial matrices.
mldivide (\)		Backslash or left polynomial matrix divide.
mpower (^)		Matrix power for polynomial matrix.
mrdivide (/)		Slash or right polynomial matrix divide.
*mtimes ()**		Matrix multiplication of polynomial matrices.
ne		Inequality test for polynomial matrices.
plus (+)		Binary addition of polynomial matrices.
power (.^)		Element-wise power for polynomial matrix.
rdivide (./)		Right array divide.
subsasgn		Subscripted assignment for polynomial matrix.
subsref		Subscripted reference for polynomial matrix.
*times (.)**		Element-wise multiplication.
transpose (.')		Matrix transposition.
uminus		Unary minus of polynomial matrix.
uplus		Unary plus of polynomial matrix.
vertcat ([;])		Vertical concatenation of polynomial matrices.
OVERLOADED FUNCTIONS
compan		Block companion matrix.
conj		Polynomial matrix complex conjugate.
det		Compute determinant of square polynomial matrix.
det2d		Determinant of 2-D polynomial matrix.
diag		Extract diagonals and create diagonal matrices.
imag		Imaginary part of polynomial matrix.
inv		Inverse of a polynomial matrix.
isempty		True for empty polynomial matrix.
isfinite		True for finite elements in polynomial matrix.
isinf		True for infinite elements in polynomial matrix.
isnan		True for Not-a-Number in polynomial matrix.
isprime		True for left or right prime polynomial matrix.
isreal		True for real polynomial matrix.
length		Length of vector.
lu		LU factorization for polynomial matrices.
norm		Polynomial matrix norms.
null		Null space of a polynomial matrix.
pinv		Pseudoinverse of polynomial matrix.
polyval		Evaluate a polynomial matrix.
prod		Product of elements of polynomial matrix.
rank		Polynomial matrix rank.
real		Real part of polynomial matrix.
roots		Find polynomial matrix roots.
rot90		Rotate polynomial matrix 90 degrees.
shift		Shift polynomial matrix.
size		Polynomial matrix dimensions.
sum		Sum of elements of polynomial matrix.
sylv		Create Sylvester matrix of a polynomial matrix.
trace		Sum of diagonal elements of a polynomial matrix.
tril		Extract lower triangular part of polynomial matrix.
triu		Extract upper triangular part of polynomial matrix.
BASIC FUNCTIONS (other than overloaded)
adj		Adjoint of square polynomial matrix.
charact		Characteristic vectors of a polynomial matrix.
evenpart		Return the even part of a polynomial object.
hurwitz		Create Hurwitz matrix of polynomial objects.
inertia		Inertia of a polynomial matrix.
isfullrank		True if polynomial matrix has full rank.
isproper		True if polynomial matrix fraction is proper.
issingular		True if polynomial matrix is singular.
isstable		True if polynomial matrix is stable.
isunimod		True if polynomial matrix is unimodular.
kharit		Create Kharitonov polynomials.
gram		Gramian of polynomial matrix fraction.
h2norm		H2 norm of a polynomial matrix fraction.
hinfnorm		H-infinity norm of a polynomial matrix fraction.
linvt		Linear transform of variable.
longldiv		Long left polynomial matrix division.
longrdiv		Long right polynomial matrix division.
oddpart		Return the odd part of a polynomial object.
polfit		Fit polynomial matrix element-by-element to data.
polpart		Polynomial matrix symmetric part extraction.
polyder		Derivative of a polynomial matrix.
prand		Generates polynomial matrix with random coefficients.
ptopex		Extreme polynomials for a polytope of polynomials.
pzer		Perform zeroing on a polynomial matrix.
scale		Scale a polynomial matrix.
ADVANCED OPERATIONS
complete NEW		Complete a non-square polynomial matrix to a square unimodular matrix
gld		Greatest left divisor of polynomial matrices.
grd		Greatest right divisor of polynomial matrices.
ldiv		Left polynomial matrix division.
llm		Least left multiple of polynomial matrices.
lrm		Least right multiple of polynomial matrices.
minbasis		Minimal polynomial basis.
rdiv		Right polynomial matrix division.
stabint		Stability interval of uncertain polynomial matrices.
SPECIAL MATRICES
d,p,q,s,v,z,zi		Create simple basic monomials.
mono		Create monomial matrix(vector) of current global variable.
MATRIX PENCIL ROUTINES
clements		Conversion to Clements standard form.
pencan		Conversion to real Kronecker canonical form.
plyap		Solution of the pencil equation AX+YB=C.
NUMERICAL ROUTINES
cgivens1		Calculates Givens rotation.
gare NEW		Solution of the generalized algebraic Riccati equation
qzord		Ordered qz transformation.
schurst		Ordered complex Schur decomposition of a matrix.
CANONICAL AND REDUCED FORMS
colred		Column reduced form of a polynomial matrix.
diagred		Diagonal reduced form of a polynomial matrix.
echelon		Echelon form of a polynomial matrix.
hermite		Hermite form of a polynomial matrix.
pdg		Diagonalization of a polynomial matrix.
rowred		Row reduced form of a polynomial matrix.
smith		Smith form of a polynomial object.
tri		Triangular or staircase form of a polynomial matrix.
CONTROL ROUTINES
debe		Deadbeat controllers of discrete-time linear systems.
dssh2 NEW		Descriptor solution of the standard H-2 optimization problem
dsshinf		H-inf suboptimal compensator for descriptor systems.
dssmin		Minimize dimension of pseudo state descriptor system.
dssrch		Search Optimal Solution descriptor H-inf problem.
h2 NEW		Polynomial solution of the standard H-2 optimization problem
mixeds		Solution SISO mixed sensitivity problem.
plqg		Polynomial solution of a MIMO LQG problem.
psseig NEW		Polynomial approach to eigenstructure assignment for state-space system
psslqr NEW		Polynomial approach to linear-quadratic regulator design for state-space system
pplace		Polynomial pole placement.
splqg		Polynomial solution of a SISO LQG problem.
stab		Stabilizing controllers of linear systems.
tsyp NEW		Use the Tsypkin-Polyak function to determine the robustness margin for a continuous interval polynomial
EQUATION SOLVERS
axb		Solution of AX = B.
axbc		Solution of AXB = C.
axbyc		Solution of AX + BY = C.
axxab		Solution of A'X + X'A = B.
axyab		Solution of A'X + Y'A = B.
axybc		Solution of AX + YB = C.
xaaxb		Solution of XA' + AX' = B.
xab		Solution of XA = B.
xaybc		Solution of XA + YB = C.
FACTORIZATIONS
fact		Polynomial matrix factor extraction.
spcof		Polynomial J-spectral co-factorization.
spf		Polynomial spectral factorization.
SIMULINK
polblock		Simulink mdl-file.
sim2lmf NEW		Simulink-to-LMF description of a dynamic system
sim2rmf NEW		Simulink-to-RMF description of a dynamic system
VISUALISATION
khplot		Plot of Kharitonov rectangles for interval polynomials.
pplot		2-D plot of polynomial matrix.
pplot3		3-D plot of polynomial matrix.
ptopplot		Plots polygonal values set for polytope of polynomials.
sarea, sareaplot NEW		Robust stability area for polynomials with parametric uncertainties
spherplot NEW		Plot the value set ellipses for a spherical polynomial family
vset,vsetplot NEW		Value set of parametric polynomial. A tool for robust stability testing via Zero Exclusion Condition
zpplot		Plot of zero-pole map.
GRAPHIC USER INTERFACE
pme		Polynomial Matrix Editor.
DEMONSTRATIONS AND HELPS
covf		Covariance function of an ARMA process.
demoB		Script file for the demo "Control of a batch process".
demoM		Script file for the demo "Polynomial solution of the SISO mixed sensitivity H-infinity problem".
minsens		Minimum peak sensitivity.
poldemo NEW		This demo reviews several of the functions and operations defined in the Polynomial Toolbox for polynomials and polynomial matrices
poldemodebe NEW		Design of a dead-beat compensator
poldemodet NEW		Comparison between numerical and symbolic computation of determi-nant of a polynomial matrix. This demo requires the Symbolic Toolbox to be installed
poldesk		Comprehensive hypertext documentation.
polrobustshow NEW		Overview of parametric robust control tools
poltutorshow NEW		Introduction into the basic operations with polynomials and polynomial matrices. This is a graphical version of the text based demo poldemo

NEW Macros newly included in Version 2.5