getconstraint
Obtain mixed input/output constraints from model predictive controller
Description
Examples
Create a third-order plant model with two manipulated variables, one measured disturbance, and two measured outputs.
plant = rss(3,2,3); plant.D = 0; plant = setmpcsignals(plant,mv=[1 2],md=3);
Create an MPC controller for this plant.
mpcobj = mpc(plant,0.1);
-->"PredictionHorizon" is empty. Assuming default 10. -->"ControlHorizon" is empty. Assuming default 2. -->"Weights.ManipulatedVariables" is empty. Assuming default 0.00000. -->"Weights.ManipulatedVariablesRate" is empty. Assuming default 0.10000. -->"Weights.OutputVariables" is empty. Assuming default 1.00000.
Assume that you have two soft constraints.
Set the constraints for the MPC controller.
E = [1 1; 0 0]; F = [0 0; 0 1]; G = [5;10]; V = [1;1]; S = [0;1]; setconstraint(mpcobj,E,F,G,V,S)
Retrieve the constraints from the controller.
[E,F,G,V,S] = getconstraint(mpcobj)
E = 2×2
1 1
0 0
F = 2×2
0 0
0 1
G = 2×1
5
10
V = 2×1
1
1
S = 2×1
0
1
Input Arguments
Model predictive controller, specified as an MPC controller
object. To create an MPC controller, use mpc
.
Output Arguments
Manipulated variable constraint constant, returned as an Nc-by-Nmv array, where Nc is the number of constraints, and Nmv is the number of manipulated variables.
If mpcobj
has no mixed input/output constraints, then
E
is []
.
Controlled output constraint constant, returned as an Nc-by-Ny array, where Ny is the number of controlled outputs (measured and unmeasured).
If mpcobj
has no mixed input/output constraints, then
F
is []
.
Mixed input/output constraint constant, returned as a column vector of length Nc., where Nc is the number of constraints.
If mpcobj
has no mixed input/output constraints, then
G
is []
.
Constraint softening constant representing the equal concern for the relaxation (ECR),
returned as a column vector of length
Nc, where
Nc is the number of
constraints. If mpcobj
has no mixed input/output
constraints, then V
is []
.
If V
is not specified, a default value
of 1
is applied to all constraint inequalities
and all constraints are soft. This behavior is the same as the default
behavior for output bounds, as described in Standard Cost Function.
To make the ith constraint hard, specify V(i) = 0.
To make the ith constraint soft, specify V(i) > 0 in keeping with the constraint violation magnitude you can tolerate. The magnitude violation depends on the numerical scale of the variables involved in the constraint.
In general, as V(i) decreases, the controller hardens the constraints by decreasing the constraint violation that is allowed.
Measured disturbance constraint constant, returned as an Nc-by-Nv array, where Nv is the number of measured disturbances.
If there are no measured disturbances in the mixed input/output constraints, or
mpcobj
has no mixed input/output constraints, then
S
is []
.
Algorithms
The general form of the mixed input/output constraints is:
Eu(k + j) + Fy(k + j) + Sv(k + j) ≤ G + εV
Here, j = 0,...,p, and:
p is the prediction horizon.
k is the current time index.
u is a column vector manipulated variables.
y is a column vector of all plant output variables.
v is a column vector of measured disturbance variables.
ε is a scalar slack variable used for constraint softening (as in Standard Cost Function).
E, F, G, V, and S are constant matrices.
Since the MPC controller does not optimize
u(k+p),
getconstraint
calculates the last constraint at time
k+p
assuming that u(k+p) =
u(k+p-1).
Version History
Introduced in R2011a
MATLAB Command
You clicked a link that corresponds to this MATLAB command:
Run the command by entering it in the MATLAB Command Window. Web browsers do not support MATLAB commands.
选择网站
选择网站以获取翻译的可用内容,以及查看当地活动和优惠。根据您的位置,我们建议您选择:。
您也可以从以下列表中选择网站:
如何获得最佳网站性能
选择中国网站(中文或英文)以获得最佳网站性能。其他 MathWorks 国家/地区网站并未针对您所在位置的访问进行优化。
美洲
- América Latina (Español)
- Canada (English)
- United States (English)
欧洲
- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)
- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)