| actual2normalized | Transform actual values to normalized
values |
| aff2pol | Convert affine parameter-dependent models to polytopic
models |
| augw | State-space or transfer function plant augmentation for
use in weighted mixed-sensitivity H∞ and H2 loopshaping
design |
| balancmr | Balanced model truncation via square root method |
| bilin | Multivariable bilinear transform of frequency (s or z) |
| bstmr | Balanced stochastic model truncation (BST) via Schur method |
| cmsclsyn | Approximately solve constant-matrix, upper bound µ-synthesis
problem |
| complexify | Replace ureal atoms by summations of ureal and ucomplex (or ultidyn)
atoms |
| cpmargin | Coprime stability margin of plant-controller feedback
loop |
| dcgainmr | Reduced order model |
| dec2mat | Given values of decision variables, derive corresponding
values of matrix variables |
| decay | Quadratic decay rate of polytopic or affine P-systems |
| decinfo | Describe how entries of matrix variable X relate
to decision variables |
| decnbr | Total number of decision variables in system of LMIs |
| defcx | Help specify cTx objectives
for mincx solver |
| dellmi | Remove LMI from system of LMIs |
| delmvar | Remove one matrix variable from LMI problem |
| diag | Diagonalize vector of uncertain matrices and systems |
| dkitopt | Create options object for use with dksyn |
| dksyn | Robust controller design using µ-synthesis |
| dmplot | Interpret disk gain and phase margins |
| drawmag | Mouse-based tool for sketching and fitting |
| evallmi | Given particular instance of decision variables, evaluate
all variable terms in system of LMIs |
| feasp | Compute solution to given system of LMIs |
| fitfrd | Fit frequency response data with state-space model |
| fitmagfrd | Fit frequency response magnitude data with minimum-phase
state-space model using log-Chebychev magnitude design |
| frd/loglog | Log-log scale plot of frd objects |
| frd/rcond | LAPACK reciprocal condition estimator of frd object |
| frd/schur | Schur decomposition of frd object |
| frd/semilogx | Semilog scale plot of frd object |
| frd/svd | Singular value decomposition of frd object |
| gapmetric | Compute upper bounds on Vinnicombe gap and nugap distances
between two systems |
| genphase | Fit single-input/single-output magnitude data with real,
rational, minimum-phase transfer function |
| getlmis | Internal description of LMI system |
| gevp | Generalized eigenvalue minimization under LMI constraints |
| gridureal | Grid ureal parameters uniformly over
their range |
| h2hinfsyn | Mixed H2/H∞ synthesis
with pole placement constraints |
| h2syn | H2 control
synthesis for LTI plant |
| hankelmr | Hankel minimum degree approximation (MDA) without balancing |
| hankelsv | Compute Hankel singular values for stable/unstable or
continuous/discrete system |
| hinfgs | Synthesis of gain-scheduled H∞ controllers |
| hinfstruct | H∞ tuning
of fixed-structure controllers |
| hinfstructOptions | Set options for hinfstruct |
| hinfsyn | Compute H∞ optimal
controller for LTI plant |
| icomplexify | Helper function for complexify |
| iconnect | Create empty iconnect (interconnection)
objects |
| icsignal | Create icsignal object of specified
dimension |
| imp2ss | System
realization via Hankel singular value decomposition |
| ispsys | True for parameter-dependent systems |
| isuncertain | Check whether argument is uncertain class type |
| lftdata | Decompose uncertain objects into fixed normalized and
fixed uncertain parts |
| lmiedit | Specify or display systems of LMIs as MATLAB expressions |
| lmiinfo | Information about variables and term content of LMIs |
| lminbr | Return number of LMIs in LMI system |
| lmireg | Specify LMI regions for pole placement |
| lmiterm | Specify term content of LMIs |
| lmivar | Specify matrix variables in LMI problem |
| loopmargin | Stability margin analysis of LTI and Simulink feedback
loops |
| loopsens | Sensitivity functions of plant-controller feedback loop |
| loopsyn | H∞ optimal
controller synthesis for LTI plant |
| looptune | Tune MIMO control systems |
| looptuneOptions | Set options for looptune |
| loopview | Graphically analyze
MIMO feedback loops |
| ltiarray2uss | Compute uncertain system bounding given LTI ss array |
| ltrsyn | LQG loop transfer-function
recovery (LTR) control synthesis |
| mat2dec | Extract vector of decision variables from matrix variable
values |
| matnbr | Number of matrix variables in system of LMIs |
| mincx | Minimize linear objective under LMI constraints |
| mixsyn | H∞ mixed-sensitivity
synthesis method for robust control loopshaping design |
| mkfilter | Generate Bessel, Butterworth, Chebyshev, or RC filter |
| mktito | Partition LTI system into two-input/two-output system |
| modreal | Modal form realization and projection |
| msfsyn | Multi-model/multi-objective state-feedback synthesis |
| mussv | Compute bounds on structured singular value (µ) |
| mussvextract | Extract muinfo structure returned by mussv |
| ncfmargin | Calculate normalized coprime stability margin of plant-controller
feedback loop |
| ncfmr | Balanced
model truncation for normalized coprime factors |
| ncfsyn | Loop shaping design using Glover-McFarlane method |
| newlmi | Attach identifying tag to LMIs |
| normalized2actual | Convert value for atom in normalized coordinates to corresponding
actual value |
| pdlstab | Assess robust stability of polytopic or parameter-dependent
system |
| pdsimul | Time response of parameter-dependent system along given
parameter trajectory |
| polydec | Compute polytopic coordinates with respect to box corners |
| popov | Perform Popov robust stability test |
| psinfo | Inquire about polytopic or parameter-dependent systems
created with psys |
| psys | Specify polytopic or parameter-dependent linear systems |
| pvec | Specify range and rate of variation of uncertain or time-varying
parameters |
| pvinfo | Describe parameter vector specified with pvec |
| quadperf | Compute quadratic H∞ performance
of polytopic or parameter-dependent system |
| quadstab | Quadratic stability of polytopic or affine parameter-dependent
systems |
| randatom | Generate random uncertain atom objects |
| randumat | Generate random uncertain umat objects |
| randuss | Generate stable, random uss objects |
| reduce | Simplified access to Hankel singular
value based model reduction functions |
| repmat | Replicate and tile array |
| robopt | Options object for use
with robuststab and robustperf |
| robustperf | Robust performance margin of uncertain multivariable system |
| robustperfOptions | Option set for robustperf |
| robuststab | Calculate robust stability margins of uncertain multivariable
system |
| robuststabOptions | Option set for robuststab |
| schurmr | Balanced model truncation
via Schur method |
| sdhinfnorm | Compute L2 norm
of continuous-time system in feedback with discrete-time system |
| sdhinfsyn | Compute H∞ controller
for sampled-data system |
| sdlsim | Time response of sampled-data feedback system |
| sectf | State-space sector bilinear transformation |
| setlmis | Initialize description of LMI system |
| setmvar | Instantiate matrix variable and evaluate all LMI terms
involving this matrix variable |
| showlmi | Return left and right sides of LMI after evaluation of
all variable terms |
| simplify | Simplify representation of uncertain object |
| skewdec | Form skew-symmetric matrix |
| slowfast | Slow and fast modes decomposition |
| squeeze | Remove singleton dimensions for umat objects |
| stack | Construct array by stacking uncertain matrices, models,
or arrays |
| symdec | Form symmetric matrix |
| sysic | Build interconnections of certain and uncertain matrices
and systems |
| ucomplex | Create uncertain complex parameter |
| ucomplexm | Create uncertain complex matrix |
| ucover | Fit an uncertain model to set of LTI responses |
| udyn | Create unstructured uncertain dynamic system object |
| ufind | Find uncertain variables in Simulink model |
| ufrd | Uncertain frequency response
data model |
| ulinearize | Linearize Simulink model with Uncertain State Space
block |
| ultidyn | Create uncertain linear time-invariant object |
| umat | Create uncertain matrix |
| uplot | Plot multiple frequency response objects and doubles
on same graph |
| ureal | Create uncertain real parameter |
| usample | Generate random samples of uncertain variables |
| usimfill | Helper function for USS System blocks to set "User-defined
Uncertainty" field or state of "Uncertainty value" menu |
| usiminfo | Find USS System blocks within specified Simulink model
and check for consistency |
| usimsamp | Generate random instance of all uncertain atoms present
in all USS System blocks of Simulink model |
| uss | Specify uncertain state space models or convert LTI model
to uncertain state space model |
| uss/ssbal | Scale state/uncertainty while preserving uncertain input/output
map of uncertain system |
| uss/usample | Generate random samples of uncertain object |
| usubs | Substitute given values for uncertain elements of uncertain
objects |
| wcgain | Calculate bounds on worst-case gain of uncertain system |
| wcgainOptions | Option set for wcgain, wcgainplot, wcnorm,
or wcsens |
| wcgainplot | Worst-case gain analysis
for uncertain systems |
| wcgopt | Options object for use
with wcgain, wcsens, and wcmargin |
| wcmargin | Worst-case disk stability margins of uncertain feedback
loops |
| wcmarginOptions | Option set for wcmargin |
| wcnorm | Worst-case norm of uncertain matrix |
| wcsens | Calculate worst-case sensitivity and complementary sensitivity
functions of plant-controller feedback loop |
Function Reference
