The optimization of processes is an omnipresent task in industry and science. In many cases those processes are characterized by partial di erential equations (PDEs), which describe how the state of a considered system can be regulated by a control. The aim is to nd a control which induces a desired state or a close approximation of it. A task of this type is called an optimal control problem. ...

Abstract Balancing a bipedal robot movement against external perturbations is considered challenging and complex topic. This paper discusses how the vibration caused by disturbance has been tackled Linear Quadratic Regulator, which aims to provide optimal control system. A simulation was conducted on MATLAB in order prove concept. Results have shown that linear quadratic regulator successful st...

We describe an implementation of an infinite-dimensional primal-dual algorithm based on the Nesterov-Todd direction. Several applications to both continuous and discrete-time multi-criteria linear-quadratic control problems and linear-quadratic control problem with quadratic constraints are described. Numerical results show a very fast convergence (typically, within 3-4 iterations) to optimal s...