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% Control System Toolbox.
% Version 3.0b 3-Mar-93
% Copyright (c) 1986-93 by The MathWorks, Inc.
%
% Model building.
% append - Append system dynamics.
% augstate - Augment states as outputs.
% blkbuild - Build state-space system from block diagram.
% cloop - Close loops of system.
% connect - Block diagram modeling.
% conv - Convolution of two polynomials.
% destim - Form discrete state estimator from gain matrix.
% dreg - Form discrete controller/estimator from gain matrices.
% drmodel - Generate random discrete model.
% estim - Form continuous state estimator from gain matrix.
% feedback - Feedback system connection.
% ord2 - Generate A,B,C,D for a second-order system.
% pade - Pade approximation to time delay.
% parallel - Parallel system connection.
% reg - Form continuous controller/estimator from gain matrices.
% rmodel - Generate random continuous model.
% series - Series system connection.
% ssdelete - Delete inputs, outputs, or states from model.
% ssselect - Select subsystem from larger system.
%
% Model conversions.
% c2d - Continuous to discrete-time conversion.
% c2dm - Continuous to discrete-time conversion with method.
% c2dt - Continuous to discrete conversion with delay.
% d2c - Discrete to continuous-time conversion.
% d2cm - Discrete to continuous-time conversion with method.
% poly - Roots to polynomial conversion.
% residue - Partial fraction expansion.
% ss2tf - State-space to transfer function conversion.
% ss2zp - State-space to zero-pole conversion.
% tf2ss - Transfer function to state-space conversion.
% tf2zp - Transfer function to zero-pole conversion.
% zp2tf - Zero-pole to transfer function conversion.
% zp2ss - Zero-pole to state-space conversion.
%
% Model reduction.
% balreal - Balanced realization.
% dbalreal - Discrete balanced realization.
% dmodred - Discrete model order reduction.
% minreal - Minimal realization and pole-zero cancellation.
% modred - Model order reduction.
%
% Model realizations.
% canon - Canonical form.
% ctrbf - Controllability staircase form.
% obsvf - Observability staircase form.
% ss2ss - Apply similarity transform.
%
% Model properties.
% covar - Continuous covariance response to white noise.
% ctrb - Controllability matrix.
% damp - Damping factors and natural frequencies.
% dcgain - Continuous steady state (D.C.) gain.
% dcovar - Discrete covariance response to white noise.
% ddamp - Discrete damping factors and natural frequencies.
% ddcgain - Discrete steady state (D.C.) gain.
% dgram - Discrete controllability and observability gramians.
% dsort - Sort discrete eigenvalues by magnitude.
% eig - Eigenvalues and eigenvectors.
% esort - Sort continuous eigenvalues by real part.
% gram - Controllability and observability gramians.
% obsv - Observability matrix.
% printsys - Display system in formatted form.
% roots - Polynomial roots.
% tzero - Transmission zeros.
% tzero2 - Transmission zeros using random perturbation method.
%
% Time response.
% dimpulse - Discrete unit sample response.
% dinitial - Discrete initial condition response.
% dlsim - Discrete simulation to arbitrary inputs.
% dstep - Discrete step response.
% filter - SISO z-transform simulation.
% impulse - Impulse response.
% initial - Continuous initial condition response.
% lsim - Continuous simulation to arbitrary inputs.
% ltitr - Low level time response function.
% step - Step response.
% stepfun - Step function.
%
% Frequency response.
% bode - Bode plot (frequency response).
% dbode - Discrete Bode plot (frequency response).
% dnichols - Discrete Nichols plot.
% dnyquist - Discrete Nyquist plot.
% dsigma - Discrete singular value frequency plot.
% fbode - Fast Bode plot for continuous systems.
% freqs - Laplace-transform frequency response.
% freqz - Z-transform frequency response.
% ltifr - Low level frequency response function.
% margin - Gain and phase margins.
% nichols - Nichols plot.
% ngrid - Draw grid lines for Nichols plot.
% nyquist - Nyquist plot.
% sigma - Singular value frequency plot.
%
% Root locus.
% pzmap - Pole-zero map.
% rlocfind - Interactive root locus gain determination.
% rlocus - Evans root-locus.
% sgrid - Draw continuous root locus wn,z grid.
% zgrid - Draw discrete root locus wn,z grid.
%
% Gain selection.
% acker - SISO pole placement.
% dlqe - Discrete linear-quadratic estimator design.
% dlqew - General discrete linear quadratic estimator design.
% dlqr - Discrete linear-quadratic regulator design.
% dlqry - Discrete regulator design with weighting on outputs.
% lqe - Linear-quadratic estimator design.
% lqed - Discrete estimator design from continuous cost function.
% lqe2 - Linear quadratic estimator design using Schur method.
% lqew - General linear-quadratic estimator design.
% lqr - Linear-quadratic regulator design.
% lqrd - Discrete regulator design from continuous cost function.
% lqry - Regulator design with weighting on outputs.
% lqr2 - Linear quadratic regulator design using Schur method.
% place - Pole placement.
%
% Equation solution.
% are - Algebraic Riccati equation solution.
% dlyap - Discrete Lyapunov equation solution.
% lyap - Continuous Lyapunov equation solution.
% lyap2 - Lyapunov equation solution using diagonalization.
%
% Demonstrations.
% ctrldemo - Introduction to the Control Toolbox.
% boildemo - LQG design of boiler system.
% jetdemo - Classical design of jet transport yaw damper.
% diskdemo - Digital control design of hard disk controller.
% kalmdemo - Kalman filter design and simulation.
% Utilities.
% abcdchk - Check consistency of (A,B,C,D) set.
% chop - Round to n significant places.
% dexresp - Discrete example response function.
% dfrqint - Auto-ranging algorithm for discrete Bode response.
% dfrqint2 - Auto-ranging algorithm for discrete Nyquist response.
% dmulresp - Discrete multivariable response function.
% distsl - Distance to straight line.
% dric - Discrete Riccati equation residual calculation.
% dsigma2 - DSIGMA utility function.
% dtimvec - Auto-ranging algorithm for discrete-time response.
% exresp - Example response function.
% freqint - Auto-ranging algorithm for Bode frequency response.
% freqint2 - Auto-ranging algorithm for Nyquist frequency response.
% freqresp - Low level frequency response function.
% givens - Givens rotation.
% housh - Construct Householder transformation .
% imargin - Gain and phase margin by interpolation.
% lab2str - Convert label to string.
% mulresp - Multivariable response function.
% nargchk - Check number of M-file arguments.
% perpxy - Find nearest perpendicular point.
% poly2str - Convert polynomial to string.
% printmat - Print matrix with row and column labels.
% ric - Riccati equation residual calculation.
% schord - Ordered schur decomposition .
% sigma2 - SIGMA utility function.
% tfchk - Check consistency of transfer functions.
% timvec - Auto-ranging algorithm for continuous-time response.
% tzreduce - Reduce system when computing transmission zeros.
% vsort - Match two vectors for rlocus.
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