NGMV Control Toolbox

Functions — By Category

Basic functions Low-level routines Converters Convertions between LTI models and Polynomial Toolbox objects Equation solvers and factorizations Diophantine equation and spectral factorization solvers for SISO systems Controller synthesis Linear and nonlinear controller computation routines Simulink utilities Auxiliary Simulink routines Display Displaying and plotting the results of Simulink simulations

Basic functions

add	Continuous-time polynomial addition
addz	Discrete-time polynomial addition
adjpol	Adjoint of a continuous-time polynomial
cfe	Continuous-time common factor extraction
dcfe	Discrete-time common factor extraction
dcgain2	DC gain of an LTI system with removed integrators/differentiators
madj	Sum of products of continuous-time polynomials by their adjoints
madjz	Sum of products of discrete-time polynomials by their adjoints
mconv	Multiple convolution
mirrorz	Full mirror image of a discrete-time polynomial
order	Length of a continuous-time vector
orderz	Length of a discrete-time vector
piecelin	Piecewise-linear function
polypower	Integer power of a polynomial
rev	Reverse elements in a vector or cell array of vectors
satur	Signal saturation
shiftz	Time-shift of a discrete-time polynomial
thru	Extracts the through term from LTI model
toep	Toeplitz matrix form of a continuous-time polynomial
toepir	Toeplitz matrix of step response coefficients (GPC controller)
toepz	Toeplitz matrix form of a discrete-time polynomial
trimc	Removes initial zeros from a continuous-time polynomial.
trimz	Removes trailing zeros from a discrete-time polynomial.

Converters

pid2tf	Convert from continuous PID to MATLAB transfer function
dpid2tf	Convert from discrete PID to MATLAB transfer function
lcd	Least common denominator representation (SISO case)
lmf2lti, rmf2lti, rat2lti	Convert from Polynomial Toolbox matrix fraction to LTI model
lmfnorm, rmfnorm	Normalization of left and right matrix fractions

Equation solvers and factorizations

dio1	Solution of a single continuous-time Diophantine equation
dio1z	Solution of a single discrete-time Diophantine equation
dio2	Solution of two coupled continuous-time Diophantine equations
dio2z	Solution of two coupled discrete-time Diophantine equations
diosym	Solution of a symmetric continuous-time Diophantine equation
diosymz	Solution of a symmetric discrete-time Diophantine equation
ghdio1z	Solution of a single discrete-time Diophantine equation
ltl	LTL factorization of a symmetric matrix
spcof2	Discrete-time spectral cofactorization, Polynomial Toolbox 2.x and 3.x
spf2	Discrete-time spectral factorization, Polynomial Toolbox 2.x and 3.x
spfc	S-domain spectral factorization
spfz	Z-domain spectral factorization

Controller synthesis and design

dlqgc	Polynomial LQG controller synthesis for discrete-time systems
gmvc	GMV controller synthesis
gmvffc	GMV  feedback, feedforward and tracking controller synthesis
gmvpp	GMV controller design using pole placement
gpc	Classical polynomial GPC controller of Clarke
lqgc	Polynomial LQG controller synthesis for continuous-time systems
mvc	Minimum Variance controller synthesis
nghinf	NGHinf controller
ngmvc	Nonlinear GMV  controller synthesis
ngmvct	NGMV continuous state-space
ngmvctpol	NGMV continuous state-space
ngmvfact	NGMV controller with L2 factorization
ngmvffc	Nonlinear feedback, feedforward and tracking GMV  controller synthesis
ngmvss	NGMV State-space controller (common delay)
npgmvss	NPGMV controller synthesis (state-space version)
npgmv_poly	NPGMV controller synthesis (polynomial version)
nqgmvc	NQGMV controller

Simulink utilities

nlss	Nonlinear state-space system creator: Static + NLSS + Static
nlssdiag	Creates a composite diagonal NLSS system
randomize	Random seeds for Simulink model
siggen	Deterministic signal generator (Structure-with-time format)
sigpred	Vector of future reference signal values for predictive controllers

Display

dispc	Zero-pole display of a continuous-time polynomial
dispd	Zero-pole display of a discrete-time polynomial
simplots	Plots outputs of the Simulink control system model

Tuning the NGMV dynamic weightings

Functions — Alphabetical List