Robust Control Toolbox

Functions - By Category

This section contains detailed descriptions of the main functions in the Robust Control Toolbox. It begins with a listing of entries grouped by subject area and continues with the reference entries in alphabetical order. Information is also available through the on-line help facility.

For easy use, most functions have several default arguments. In a reference entry under Synopsis, we first list the function with all necessary input arguments and then with all possible input arguments. The functions can be used with any number of arguments between these extremes, the rule being that missing, trailing arguments are given default values, as defined in the manual.

As always in MATLAB, all output arguments of functions do not have to be specified, and are then not returned to the user. For functions with several output arguments, missing arguments are as a rule not computed in order to save time.

Optional System Data Structure

`branch`	Extract branches from a tree
`graft`	Add a branch to a tree
`issystem`	Identify a system variable
`istree`	Identify a tree variable
`mksys`	Build tree variable for system
`tree`	Build a tree variable
`vrsys`	Returns standard system variable names

Model Building

`augss, augtf`	Plant augmentation (weights on `e', `u' and `y')
`interc`	General multivariable interconnected system

Model Conversions

`bilin`	Multivariable bilinear transform of frequency (s or z) -- 7 options
`des2ss`	Convert descriptor system to state-space via SVD
`lftf`	Linear fractional transformation
`sectf`	Sector transformation
`stabproj`	Stable/antistable projection
`slowfast`	Slow/fast decomposition
`tfm2ss`	Convert transfer function matrix (MIMO) into state-space block-controller form

Utility

`aresolv, daresolv`	Generalized continuous./discrete Riccati solver
`riccond, driccond`	Continuous/discrete Riccati condition number
`blkrsch`	Block ordered real Schur form via `cschur`
`cschur`	Ordered complex Schur form via complex Givens rotation

Multivariable Bode Plots

`cgloci`	Continuous characteristic gain loci
`dcgloci`	Discrete characteristic gain loci
`dsigma`	Discrete singular-value Bode plot
`muopt`	Multiplier scaling
`osborne`	SSV upper bound via Osborne method
`perron, psv`	Perron eigenstructure SSV
`sigma`	Continuous singular-value Bode plot
`ssv`	structured singular value Bode plot

Factorization Techniques

`iofc`	Inner-outer factorization (column type)
`iofr`	Inner-outer factorization (row type)
`sfl`	Left spectral factorization
`sfr`	Right spectral factorization

Model Reduction Methods

`balmr`	Truncated balanced model reduction
`bstschml, bstschmr`	Relative error Schur model reduction
`imp2ss`	Impulse response to state-space realization
`obalreal`	Ordered balanced realization
`ohklmr`	Optimal Hankel minimum degree approximation
`schmr`	Schur model reduction

Robust Control Synthesis Methods

`h2lqg, dh2lqg`	Continuous/discrete `H²` synthesis
`hinf, linf, dhinf`	Continuous/discrete `H` synthesis
`hinfopt`	-iteration of `H` synthesis
`normh2, normhinf`	`H²` and `H` norm
`lqg`	LQG optimal control synthesis
`ltru, ltry`	LQG loop transfer recovery
`musyn, fitd, augd`	`µ-synthesis`
`youla`	Youla parametrization

Demonstration

`accdemo`	Spring-mass benchmark problem
`dintdemo`	`H` design for double-integrator plant
`hinfdemo`	`H` & `H²`design examples - fighter and large space structure
`ltrdemo`	LQG/LTR design examples - fighter
`mudemo, mudemo1`	`µ`-synthesis examples
`mrdemo`	Robust model reduction examples
rctdemo	Robust Control Toolbox demo - main menu

Robust Control Toolbox Reference aresolv