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- % MUTOOLS - MU Analysis and Synthesis Toolbox
- %
- % This file contains a description of all mutools functions.
- % It begins with a list of functions in alphabetical order,
- % followed by a list of functions grouped by subject area.
- %
- % 14 April 91
- % Summary of Commands
- %
- % abv Stack constant/varying/system matrices above one another
- % blknorm Block norm of a constant/varying matrix
- % cjt Conjugate transpose of a constant/varying/system matrix
- % cos_tr Generate a cosine signal as a varying matrix
- % crand Generate a complex random matrix
- % csord Ordered complex Schur form
- % daug Diagonal augmentation of constant/varying/system matrices
- % drawmag Interactive moused-based sketch and fitting tool
- % dtrsp Discrete time response of a linear system
- % dypert Create a rational perturbation from frequency MU data
- % fitmag Fit magnitude data with a real, rational, transfer function
- % fitmaglp Fit magnitude data with a real, rational, transfer function
- % fitsys Fit frequency response data with a transfer function
- % frsp Frequency response of a system matrix
- % genphase Generate a minimum phase frequency response to magnitude data
- % getiv Get the independent variable of a varying matrix
- % h2norm Calculate 2-norm of a stable, strictly proper system
- % h2syn H_2 control design
- % hankmr Optimal Hankel norm approximation of a system
- % hinffi H_infinity full information control design
- % hinfnorm Calculate infinity norm of a stable, proper system
- % hinfsyn H_infinity control design
- % indvcmp Compare the independent variable data of two matrices
- % madd Addition of constant/varying/system matrices
- % magfit Fit frequency response data with a transfer function (Batch)
- % minfo Information on a matrix
- % minv Inverse of constant/varying/system matrices
- % mmult Multiplication of constant/varying/system matrices
- % mprintf Formatted printing of a matrix
- % mscl Scale (by a scalar) a system or varying matrix
- % msub Subtraction of constant/varying/system matrices
- % mu mu-analysis of constant/varying matrices
- % muftbtch A batch D scaling rational fit routine
- % musynfit An interactive D scaling rational fit routine
- % musynflp An interactive D scaling rational fit routine
- % nd2sys Convert a SISO transfer function into a system matrix
- % negangle Calculate angle of matrix elements between 0 and -2pi
- % pck Create a system matrix from state-space data (A,B,C,D)
- % pkvnorm Peak norm of varying matrix
- % pss2sys Convert an [A B;C D] matrix into a mutools system matrix
- % randel Generate a random perturbation
- % reordsys Reorder states of the system
- % ric_eig Solve a Riccati equation via eigenvalue decomposition
- % ric_schr Solve a Riccati equation via real Schur decomposition
- % rifd Display real, imaginary, frequency and damping data
- % samhld Create a sample-hold approximation of a continuous system
- % sbs Stack matrices next to one another
- % sclin Scale system input
- % sclout Scale system output
- % scliv Scale the independent variable
- % sdecomp Decompose a system matrix into two system matrices
- % see Display varying/system matrices
- % seeiv Print independent variables of a varying matrix
- % seesys Formatted varying/system display
- % sel Select rows/columns or outputs/inputs
- % sfrwtbal Weighted balanced realization of a system matrix
- % sfrwtbld Stable weighted balanced realization of a system matrix
- % sin_tr Generate a sine signal as a varying matrix
- % siggen Generate a signal as a varying matrix
- % sisorat Fit a frequency point with a first order, all-pass,
- % stable transfer function
- % sncfbal Balanced realization of coprime factors of a system matrix
- % sortiv Sort the independent variable
- % spoles Poles of system matrix
- % srelbal Stochastic balanced realization of a system matrix
- % sresid Residualize states of a system matrix
- % starp Redheffer star product
- % statecc Apply a coordinate transformation to system matrices
- % step\_tr Generate a step signal as a varying matrix
- % strans Bidiagonal coordinate transformation of system matrices
- % strunc Truncate states of a system matrix
- % sys2pss Extract the state-space matrix [A B; C D] from a system matrix
- % sysbal Balanced realization of a system matrix
- % sysic System interconnection program
- % sysrand Generate a random system matrix
- % szeros Transmission zeros of a system matrix
- % tackon String together varying matrices
- % transp Transpose of varying/system matrices
- % trsp Time response of a linear system
- % tustin Prewarped continuous system to discrete system transformation
- % unpck Extract state-space data (A,B,C,D) from a system matrix
- % unwrapd Construct D scaling from MU
- % unwrapp Construct Delta perturbation from MU
- % vabs Absolute value of a varying/constant matrix
- % var2con Convert a varying matrix to a constant matrix
- % varyrand Generate a random varying matrix
- % vceil Round elements of constant/varying matrices towards infinity
- % vconj Conjugate of constant/varying matrices
- % vcjt Conjugate transpace of constant/varying matrices
- % vdcmate Decimate a varying matrix
- % vdet Determinant of constant/varying matrices
- % vdiag Diagonal of constant/varying matrices
- % vebe Element-by-element operations on varying matrices
- % veig Eigenvalue decomposition of constant/varying matrices
- % veval Evaluate general functions of varying matrices
- % vexpm Exponential of constant/varying matrices
- % vfft FFT for varying matrices
- % vfloor Round elements of constant/varying matrices towards -infinity
- % vifft Inverse FFT for varying matrices
- % vinv Inverse of a constant/varying matrix
- % vimag Imaginary part of a constant/varying matrix
- % vinterp Interpolate varying matrices
- % vldiv Left division of constant/varying matrices
- % vnorm Norm of varying/constant matrices
- % vpoly Characteristic polynomial of varying/constant matrices
- % vpinv Pseudoinverse of a constant/varying matrix
- % vplot Plot a varying matrix
- % vpck Pack a varying matrix
- % vrcond Condition number of a constant/varying matrix
- % vrdiv Right division of constant/varying matrices
- % vreal Real part of a constant/varying matrix
- % vrho Spectral radius of a varying/constant matrix
- % vroots Polynomial roots of varying/constant matrices
- % vschur Schur form of a varying/constant matrix.
- % vspect Signal Processing % spectrum} command for varying matrices
- % vsvd Singular value decomposition of a varying/constant matrix
- % vtp Transpose of constant/varying matrices
- % vunpck Unpack a varying matrix
- % vzoom Mouse driven axis selection of plot window
- % xtract Extract portions of a varying matrix
- % xtracti Extract portions of a varying matrix
- % zp2sys Convert transfer function poles and zeros into system matrix
- %
- %___________________________________________________________________________
- %
- % COMMANDS GROUPED BY FUNCTION
- %
- %___________________________________________________________________________
- %
- % STANDARD OPERATIONS/ BASIC FUNCTIONS
- %
- % abv Stack constant/varying/system matrices above one another
- % cjt Conjugate transpose of varying/system matrices
- % daug Diagonal augmentation of constant/varying/system matrices
- % madd Addition of constant/varying/system matrices
- % minv Inverse of constant/varying/system matrices
- % mmult Multiplication of constant/varying/system matrices
- % mscl Scale (by a scalar) a system or varying matrix
- % msub Subtraction of constant/varying/system matrices
- % sbs Stack matrices next to one another
- % sclin Scale system input
- % sclout Scale system output
- % sel Select rows/columns or outputs/inputs
- % starp Redheffer star product
- % transp Transpose of varying/system matrices
- %
- % MATRIX INFORMATION, DISPLAY AND PLOTTING
- %
- % drawmag Interactive moused-based sketch and fitting tool
- % minfo Information on a matrix
- % mprintf Formatted printing of a matrix
- % rifd Display real, imaginary, frequency and damping data
- % see Display varying/system matrices
- % seeiv Display independent variables of a varying matrix
- % seesys Formatted varying/system display
- % vplot Plot a varying matrix
- % vzoom Mouse driven axis selection of plot window
- %
- % MODELING FUNCTIONS
- %
- % nd2sys Convert a SISO transfer function into a system matrix
- % pck Create a system matrix from state-space data (A,B,C,D)
- % pss2sys Convert an [A B;C D] matrix into a mutools system matrix
- % sys2pss Extract state-space matrix [A B; C D] from a system matrix
- % sysic System interconnection program
- % unpck Extract state-space data (A,B,C,D) from a system matrix
- % zp2sys Convert transfer function poles and zeros to a system matrix
- %
- % SYSTEM MATRIX FUNCTIONS
- %
- % reordsys Reorder states in a system matrix
- % samhld Sample-hold approximation of a continuous system
- % spoles Poles of system matrix
- % statecc Apply a coordinate transformation to system matrices
- % strans Bidiagonal coordinate transformation of system matrices
- % sysrand Generate a random system matrix
- % szeros Transmission zeros of a system matrix
- % tustin Prewarped continuous to discrete system transformation
- %
- % MODEL REDUCTION FUNCTIONS
- %
- % hankmr Optimal Hankel norm approximation of a system
- % sdecomp Decompose a system matrix into two system matrices
- % sfrwtbal Frequency weighted balanced realization of a system matrix
- % sfrwtbld Stable frequency weighted realization of a system matrix
- % sncfbal Balanced realization of coprime factors of a system matrix
- % srelbal Stochastic balanced realization of a system matrix
- % sresid Residualize states of a system matrix
- % strunc Truncate states of a system matrix
- % sysbal Balanced realization of a system matrix
- %
- % SYSTEM RESPONSE FUNCTIONS
- %
- % cos_tr Generate a cosine signal as a varying matrix
- % dtrsp Discrete time response of a linear system
- % frsp Frequency response of a system matrix
- % sin_tr Generate a sine signal as a varying matrix
- % siggen Generate a signal as a varying matrix
- % step_tr Generate a step signal as a varying matrix
- % trsp Time response of a linear system
- %
- % H_2 and H_infinity ANALYSIS AND SYNTHESIS FUNCTIONS
- %
- % h2norm Calculate 2-norm of a stable, strictly proper system
- % h2syn H_2 control design
- % hinffi H_infinity full information control design
- % hinfnorm Calculate infinity norm of a stable, proper system
- % hinfsyn H_infinity control design
- % pkvnorm Peak norm of varying matrix
- %
- % STRUCTURED SINGULAR VALUE (MU) ANALYSIS AND SYNTHESIS
- %
- % blknorm Block norm of constant/varying matrices
- % dypert Create a rational perturbation from frequency MU data
- % fitmag Fit magnitude data with real, rational, transfer function
- % fitmaglp Fit magnitude data with real, rational, transfer function
- % fitsys Fit frequency response data with transfer function
- % genphase Generate a minimum phase frequency response to magnitude data
- % magfit Fit magnitude data with real, rational, transfer
- % function (a batch process)
- % mu mu analysis of constant/varying matrices
- % muftbtch Batch D scaling rational fit routine
- % musynfit Interactive D scaling rational fit routine
- % musynflp Interactive D scaling rational fit routine
- % randel Generate a random perturbation
- % sisorat Fit a frequency point with first order, all-pass,
- % stable transfer function
- % unwrapd Construct D scaling from MU
- % unwrapp Construct $\Delta$ perturbation from MU
- %
- % VARYING MATRIX MANIPULATION
- %
- % getiv Get the independent variable of a varying matrix
- % indvcmp Compare the independent variable data of two matrices
- % scliv Scale the independent variable
- % sortiv Sort the independent variable
- % tackon String together varying matrices
- % var2con Convert a varying matrix to a constant matrix
- % varyrand Generate a random varying matrix
- % vpck Pack a varying matrix
- % vunpck Unpack a varying matrix
- % xtract Extract portions of a varying matrix
- % xtracti Extract portions of a varying matrix
- %
- % STANDARD MATLAB COMMANDS FOR VARYING MATRICES
- %
- % vabs Absolute value of a constant/varying matrix
- % vceil Round elements of constant/varying matrices towards infinity
- % vdet Determinant of constant/varying matrices
- % vdiag Diagonal of constant/varying matrices
- % veig Eigenvalue decomposition of constant/varying matrices
- % vexpm Exponential of constant/varying matrices
- % vfft FFT for varying matrices
- % vfloor Round elements of constant/varying matrices towards -infinity
- % vifft Inverse FFT for varying matrices
- % vinv Inverse of a constant/varying matrix
- % vimag Imaginary part of a constant/varying matrix
- % vnorm Norm of varying/constant matrices
- % vpoly Characteristic polynomial of constant/varying matrices
- % vpinv Pseudoinverse of a constant/varying matrix
- % vrcond Condition number of a constant/varying matrix
- % vreal Real part of a constant/varying matrix
- % vroots Polynomial roots of constant/varying matrices
- % vschur Schur form of a constant/varying matrix
- % vspect Signal Processing spectrum command for varying matrices
- % vsvd Singular value decomposition of a constant/varying matrix
- %
- % ADDITIONAL VARYING MATRIX FUNCTIONS
- %
- % vconj Conjugate of constant/varying matrices
- % vcjt Conjugate transpose of constant/varying matrices
- % vdcmate Decimate varying matrices
- % vebe Element-by-element operations on varying matrices
- % veval Evaluate general functions of varying matrices
- % vinterp Interpolate varying matrices
- % vldiv Left division of constant/varying matrices
- % vrdiv Right division of constant/varying matrices
- % vrho Spectral radius of a constant/varying matrix
- % vtp Transpose of constant/varying matrices
- %
- % UTILITIES AND MISCELLANEOUS FUNCTIONS
- %
- % crand Complex random matrix generator
- % csord Order complex Schur form matrices
- % negangle Calculate angle of matrix elements between 0 and -2pi
- % ric_eig Solve a Riccati equation via eigenvalue decomposition
- % ric_schr Solve a Riccati equation via real Schur decomposition
- %
- % Use HELP on these files, or TYPE them for more information.
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