Scheme under which control problems are developed.

Dycon Toolbox is an environment under the paradigm of object-oriented programming. We create objects to define control problems. We can see an example of this in a general optimal control problem:

subject to:

In object-oriented programming, this problem can be described through the following scheme:

graph TB
OC["OptimalControl

Object"] OC --> ode OC --> psi["Symbolic

expression of Psi"] OC --> L["Symbolic

expression of L"] ode["ode

Object"] ode --> odep1["Dynamic

Equation"] ode --> odep2["Initial

Condition"]

Object"] OC --> ode OC --> psi["Symbolic

expression of Psi"] OC --> L["Symbolic

expression of L"] ode["ode

Object"] ode --> odep1["Dynamic

Equation"] ode --> odep2["Initial

Condition"]

graph TB
OC["OptimalControl

Object"] CG["Algorithm"] sol["solution"] plus["+"] CG --> plus OC --> plus plus --> sol

Object"] CG["Algorithm"] sol["solution"] plus["+"] CG --> plus OC --> plus plus --> sol

Name | Description |
---|---|

OptimalControl | This class is able to solve optimization problems of a function restricted to an ordinary equation. This scheme is used to solve optimal control problems in which the functional derivative is calculated. OptimalControl class has methods that help us find optimal control as well as obtaining the attached problem and it's derivative form, in both Symbolic and numerical versions. |

ode | The ode class is an object that will contain all the information to solve a differential equation. This can be the equation of the dynamics, initial condition, or the solution method itself. This class is necessary in order to generalize the optimal control methods used in other packages. |