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% Multivariable Frequency Domain Toolbox. Version 2.4 19-Jul-93
%
% Modelling:
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%FBLKB Frequency-domain block-build (MIMO).
%FCON Frequency domain MIMO block connections.
%FDLY Adds delays to MVFR matrix.
%FFB Closed-loop frequency response with unity feedback (MIMO).
%FFBF Closed-loop frequency response with arbitrary feedback (MIMO).
%FRD Return difference frequency response (MIMO).
%MVBLKB Multivariable state-space block-build.
%MVCON Connects multivariable state space systems.
%MVFB Feedback connection of two state space systems.
%MVINV Inverse of state-space system.
%MVPAR Parallel connection of two state space systems.
%MVPINV Pseudo-inverse of state-space system.
%MVSER Series connection of two state space systems.
%MVSUM Sum the outputs of two state space systems.
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% Conversion
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%DMV2FR Frequency response of MIMO discrete time system
%MV2FR Frequency response of MIMO continuous time system
%MV2RES Response of MIMO system on arbitrary set of points.
%MVSS2TF Multivariable State-Space to Transfer Function conversion.
%MVTF2SS Multivariable Transfer Function to State-Space conversion.
%P2R Converts polar to rectangular co-ordinates.
%PM2TF Polynomial matrices to transfer function matrix
%R2P Converts rectangular to polar co-ordinates.
%T2W Generates frequencies, given time horizon etc, for MFD Toolbox.
%VEC2STR Converts vector to string array.
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% MVFR Manipulation functions
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%FCOMP Compress MVFR matrix.
%FDIAG Diagonal elements of MVFR matrix.
%FDISP Display MVFR matrix versus frequency.
%FGET Get elements from MVFR matrix.
%FGETF Get component matrices from MVFR matrix.
%FINSERT Insert frequency points in MVFR matrix
%FPART Partitions MVFR matrix into blocks
%FPUT Replace elements in MVFR matrix
%FSIZE Size of MVFR matrix.
%SHPF Reshape matrix into MVFR matrix
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% Design functions
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%ALIGN Real alignment
%FACC Synthesise an approximate commutative controller.
%FADJ Estimates the order of a pseudo-decoupling pre-compensator
%FCNMAT Calculates the normalized column dominance scalings.
%FDEDMUND Control design by parameter optimization (discrete-time).
%FEDMUNDS Control design by parameter optimization.
%FRNMAT Calculates the normalized row dominance scalings.
%FPP Calculates principal phases.
%FPSEUDO Calculate pseudo-decoupling controller.
%FRFN Constructs a Reversed-Frame Normalizing controller.
%FSGB Normalizes system and manipulates singular values.
%PHLAG Design a phase lag compensator
%PHLEAD Design a phase lead compensator
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% Design functions
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%FBRGA Block Relative Gain Array
%FCDOM Column dominance of MVFR matrix.
%FCGERSH Generate column Gershgorin circles.
%FCOST Generate column Ostrowski circles.
%FCSOD Column sum of abs(off-diagonals) of MVFR matrix.
%FIMPULSE Impulse response from freqency response (MIMO).
%FMISALG Calculates misalignment angles
%FMS Measure of skewness of MIMO frequency response.
%FPERRON Perron-Frobenius eigenvalues
%FRDOM Row dominance of MVFR matrix.
%FRGA Relative gain array of square system.
%FRGERSH Generate row Gershgorin circles.
%FROST Generate row Ostrowski circles.
%FRSOD Row sum of abs(off-diagonals) of MVFR matrix
%FSTEP Step response form frequency response (MIMO).
%FSVAN Performance and robustness measures, with unity feedback.
%FSVANF Performance and robustness measures with arbitrary feedback.
%FSSV Structured singular value (from MIMO frequency response).
%FSSVIM2 Structured Singular Value Interaction Measure (2-block).
%MVRLOCUS Multivariable root locus.
%SSV Structured singular value (at one frequency).
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% Plotting functions
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%LOGNYQ Nyquist-like plots on logarithmic axes.
%MCIRC Calculates M-circles
%NCIRC Calculates N-circles.
%MKNIC Mark points along a Nichols plot.
%MKNYQ Mark points along a Nyquist plot.
%MKPLOT Mark points along a plot.
%MVBODE Plot Multi-Variable Bode diagram.
%MVDB Plot Multi-Variable magnitude Bode diagram.
%MVNIC Plot Multi-Variable Nichols chart.
%MVNYQ Plot Multi-Variable Nyquist diagram.
%PLOTBODE Plot Bode diagrams.
%PLOTDB Plot Magnitude Bode diagrams.
%PLOTNIC Plot Nichols chart.
%PLOTNYQ Plot Nyquist diagrams.
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% MVFR Utility functions
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%EYEF Generate identity MVFR matrix
%FADD Add matrix to MVFR matrix
%FADDF Add two MVFR matrices
%FEIG Eigenvalues and eigenvectors of MVFR matrix.
%FFUN Apply function to MVFR matrix.
%FINV Invert an MVFR matrix
%FMAX Maximum of MVFR matrix
%FMINIMUM Minimum of MVFR matrix
%FMUL Multiply MVFR matrix by a matrix.
%FMULF Multiply two MVFR matrices.
%FNORM Norms of MVFR matrix.
%FSVD Singular values of MVFR matrix.
%FTRN Complex conjugate transpose of MVFR matrix.
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% Utility functions
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%ABCPGCHK Check A, B, C for a pure gain block
%ARC Calculates points on an arc.
%CIRC Calculates circles
%CLIP Indicate which points lie outside an area.
%COMP Compress a vector or matrix
%CSORT Sort columns into continuous vectors.
%EXPD Expand a vector by repeating its points
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% Generation of examples:
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%AIRCMAKE Make AIRC state-space model in workspace and on disk.
%RPVMAKE Make RPV state-space model in workspace and on disk.
%TGENMAKE Make TGEN state-space model, in workspace and on disk.
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% Demonstrations:
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%BLKBDEMO Block Building and Connection Demo for MFD Toolbox.
%BLKBPREP Generation of data for BLKBDEMO
%CALCDEMO Demonstration of Basic Functions in the MFD TOOLBOX.
%CHARDEMO Characteristic Locus Design Demo for MFD Toolbox.
%DEMOPREP Demonstration data reconstruction for MFD Toolbox.
%DIRNDEMO Direct Nyquist Array Demo for MFD Toolbox.
%DSGNPREP Data reconstruction for MFD Toolbox DNA demo.
%GENRDEMO MVFR Generation and Display Demonstration for MFD Toolbox.
%GENRPREP Data generation for CALCDEMO and MVPLDEMO in MFD Toolbox.
%INVNDEMO Inverse Nyquist Array Demonstration for MFD Toolbox.
%MFDDEMO MFD Toolbox Demonstration facility.
%MVPLDEMO Graphical plots demo for MFD Toolbox.
%QUASDEMO Quasi - Classical Design Demo for MFD Toolbox.
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% Utilities used inside other functions only:
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%FDEDMUT Utility function for FDEDMUND.
%FEDMUTIL Utility function for FEDMUNDS.
%FSVUT Utility function for FSVAN and FSVANF.
%PDSOLV Utility function for FPSEUDO
%PSEUDINT Utility function for FPSEUDO.
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