Legacy Repository

This code repository contains codes for Dynamic Programming with application in Optimal Control for seperate position control and attitude control. It is now re-designed to incorporate full coupled position and attitude control of a satellite, see the successor repository: https://github.com/abdolrezat/SPHERES-DPcontrol

Run Test Class

MATLAB Optimal Control codes related to HJB Dynamic Programming to find the optimal path for any state of a linear system

The Test Class solves the example at the end of chapter 3 of Optimal Control Theory - kirk (System with state equation AX + BU )

Run the Tests

The class is loaded with a example. In order to see the results, create a Dynamic_Solver object first:
objA = Dynamic_Solver;
Calculate the optimal controls at each state:
run(objA)
Finally, track the optimal states and controls:
get_optimal_path(objA)
or get the optimal states and controls from any desired initial states:
get_optimal_path(objA, [x1 x2])

Unique Performance

This code exploits Vectorization in MATLAB thus it is more than thousands orders of magnitude faster than loop algorithm implementation which is explained in Optimal Control Theory book(s).