YALMIP Toolbox

The official version of YALMIP toolbox is a toolkit specially developed for MATLAB to solve planning problems. The latest version of the YALMIP toolbox can help users easily solve various planning problems through MATLAB syntax, which is quite convenient. The YALMIP toolbox is easy to use. Users only need to add a path in matlab to use it, and YALMIP is also more easily accepted by users.

YALMIP toolbox software introduction

        Written based on the symbolic arithmetic toolbox

A modular language for defining and solving advanced optimization problems, used to solve standard optimization problems such as linear programming, certificate programming, nonlinear programming, hybrid programming, and the LMI toolbox.

Basic use of YALMIP toolbox

   1. Assume the unknown quantity

x = sdpvar(n,m); %Generate the unknown quantity in row a and column b

      之前也说过YALMIP的未知量有3中类型.分别为

            sdpvar % real type

intvar %integer type

        binvar %0-1 type

If you need to set up a few more variables in mixed planning, it will be enough

2. Constraints

e.g.F = [-2 <= x <= 2];

   3. Write the objective function

Obj = x(1)^2+x(2)^2;

   4. Solve

Optimize(F,obj[options]);

F is the constraint, obj is the objective function (the default is to find the minimum value), options can select the solver and change the output method, such as:

Optimize(F,obj,sdpsettings('solver','gurobi','verbose',2));

Specify the solver as Gurobi and do not print the parsing process

   5. Get results

       opt=value(x); %x value

Specific cases of YALMIP toolbox

Find the minimum value of x^2+y^2 on x,y∈[-2,2].

      % Generate a 2*1 matrix variable

x = sdpvar(2,1);

      % restrictions

F = [-2 <= x <= 2];

        % objective function

Obj = x(1)^2+x(2)^2;

      %Solution

Optimize(F,obj);

      % Get the value and the corresponding value of x

​​​optobj = value(obj)

       optx = value(x)

The results are as follows (my gurobi has expired, the following are the results of MATLAB's own solver)

       optobj =

1.5449e-43

       optx =

1.0e-21 *

0.2779 0.2779

YALMIP toolbox update log

​​ 1. Fixed other bugs;

​ ​ 2. Optimized software compatibility.