Model Predictive Control Toolbox

Functions - By Category

Identification

`autosc`	Automatically scales a matrix by its means and standard deviations.
`imp2step`	Combines MISO impulse response models to form MIMO models in MPC step format.
`mlr`	Calculates MISO impulse response model via multi- variable linear regression.
`plsr`	Calculates MISO impulse response model via partial least squares regression.
`rescal`	Converts scaled data back to its original form.
`scal`	Scales a matrix by specified means and standard deviations.
`validmod`	Validates a MISO impulse response model using new data.
`wrtreg`	Writes data matrices used for regression.

Plotting and Matrix Information

`mpcinfo`	Outputs matrix type and attributes of system representation.
`plotall`	Plots outputs and inputs from a simulation run on one graph.
`plotfrsp`	Plots the frequency response of a system as a Bode plot.
`ploteach`	Makes separate plots of outputs and/or inputs from a simulation run.
`plotstep`	Plots the coefficients of a model in MPC step form.

Model Conversions

`c2dmp`	Converts state-space model from continuous time to discrete-time. (Equivalent to `c2d` in Control System Toolbox)
`cp2dp`	Converts from a continuous to a discrete transfer function in poly format.
`d2cmp`	Converts state-space model from discrete-time to continuous time. (Equivalent to `d2c` in Control System Toolbox)
`mod2mod`	Changes sampling period of a model in MPC mod format.
`mod2ss`	Converts a model in MPC mod format to a state-space model.
`mod2step`	Converts a model in MPC mod format to MPC step format.
`poly2tfd`	Converts a transfer function in poly format to MPC tf format.
`ss2mod`	Converts a state-space model to MPC mod format.
`ss2step`	Converts a state-space model to MPC step format.
`ss2tf2`	Converts state-space model to transfer function. (Equivalent to `ss2tf` in Control System Toolbox)
`tf2ssm`	Converts transfer function to state-space model. (Equivalent to `tf2ss` in Control System Toolbox)
`tfd2mod`	Converts a model in MPC tf format to MPC mod format.
`tfd2step`	Converts a model in MPC tf format to MPC step format.
`th2mod`	Converts a model in theta format (System Identification Toolbox) into MPC mod format.

Model Building -- MPC mod format

`addmd`	Adds one or more measured disturbances to a plant model.
`addmod`	Combines two models such that the output of one adds to the input of the other.
`addumd`	Adds one or more unmeasured disturbances to a plant model.
`appmod`	Appends two models in an unconnected, parallel structure.
`paramod`	Puts two models in parallel such that they share a common output.
`sermod`	Puts two models in series.

Controller Design and Simulation -- MPC step format

`cmpc`	Solves the quadratic programming problem to simulate performance of a closed-loop system with input and output constraints.
`mpccl`	Creates a model in MPC mod format of a closed-loop system with an unconstrained MPC controller.
`mpccon`	Calculates the unconstrained controller gain matrix for MPC.
`mpcsim`	Simulates a closed-loop system with optional saturation constraints on the manipulated variables.
`nlcmpc`	Simulink S-function block for MPC controller with input and output constraints (solves quadratic program).
`nlmpcsim`	Simulink S-function block for MPC controller with optional saturation constraints.

Controller Design and Simulation -- MPC mod format

`scmpc`	Solves the quadratic programming problem to simulate performance of a closed-loop system with input and output constraints.
`smpccl`	Creates a model in MPC mod format of a closed-loop system with an unconstrained MPC controller.
`smpccon`	Calculates the unconstrained controller gain matrix for MPC.
`smpcest`	Designs a state estimator for use in MPC.
`smpcsim`	Simulates a closed-loop system with optional saturation constraints on the manipulated variables.

Analysis

`mod2frsp`	Calculates frequency response for a system in MPC mod format.
`smpcgain`	Calculates steady-state gain matrix of a system in MPC mod format.
`smpcpole`	Calculates poles of a system in MPC mod format.
`svdfrsp`	Calculates singular values of a frequency response.

Utility Functions

`abcdchkm`	Checks dimensional consistency of (A,B,C,D) set. (Equivalent to `abcdchk` in Control System Toolbox)
`dantzgmp`	Solves quadratic programs.
`dareiter`	Solves discrete Riccati equation by an iterative method.
`dimpulsm`	Generates impulse response of discrete-time system. (Equivalent to `dimpulse` in Control System Toolbox)
`dlqe2`	Calculates state-estimator gain matrix for discrete systems.
`dlsimm`	Simulates discrete-time systems. (Equivalent to `dlsim` in Control System Toolbox)
`mpcaugss`	Augments a state-space model with its outputs.
`mpcparal`	Puts two state-space models in parallel.
`nargchkm`	Checks number of M-file arguments. (Equivalent to `nargchk` in Control System Toolbox)
`mpcstair`	Creates the stairstep format used to plot manipulated variables.
`vec2mat`	Converts a vector to a matrix.

Model Predictive Control Toolbox Reference addmd