For part of my final project for my Optimal Control Design class I had to write a script that would solve for the optimal trajectories and control of a second order linear quadratic regulator problem.

Quadratic programming (QP) is the problem of optimizing a quadratic objective function and is one of the simplest form of non-linear programming. The objective function can contain bilinear (x*y) or ...

The optimal linear quadratic regulator (LQR) method is a powerful technique for designing controllers for complex systems that have stringent performance requirements. For most realistic applications, ...

In a boon to algebra students everywhere, a professor at Carnegie Mellon University has devised a simpler and more efficient way to solve problems involving the quadratic equation.

Keywords: trajectory optimization, quadratic program, constrained motion planning, collision backtracking, robot manipulation planning Citation: Liu Y, Zha F, Li M, Guo W, Jia Y, Wang P, Zang Y and ...

Everyone learns (and some readers maybe still remember) the quadratic formula. It’s a pillar of algebra and allows you to solve equations like Ax2+Bx+C=0. But just because you’ve used i… ...

Almost the half of mechanical energy of a human gait cycle is generated by a hip joint. Therefore, this paper discusses a rehabilitation hip exoskeleton, starting with the modeling, simulation and ...

Spatially homogeneous and anisotropic Bianchi type-I cosmological model containing perfect fluid with quadratic equation of state has been diagnosed in general theory of relativity. To obtain a ...

Revise how to recognise and determine the equation of a quadratic function from its graph. BBC Bitesize Scotland revision for SQA National 5 Maths.