In this paper we prove that for a class of RLC circuits with convex energy function and weak electromagnetic coupling it is possible to “add a differentiation” to the port terminals presening passivity-with a new storage function that is directly related to the circuit power. The result is of interest in circuits theory, but also has applications in control problems as it suggests the paradigm ...

The Controlled Lagrangian method is a branch of energy shaping methods that is designed to control underactuated mechanical systems. The method emp...

This paper investigates the asymptotical stabilization of the time-invariant and the time-varying Port-Hamiltonian (PH) systems via a new kinetic energy-shaping (KES) method. Firstly, a desired kinetic energy function is designed for the non-trivial points. Secondly, applying the KES method to the Hamiltonian function with the desired kinetic energy function builds some matching equations. Thir...

The objective is to design a complete control system for the Swing-up and Stabilizing Control of cart inverted pendulum. In particular, this work outlines the effectiveness of a particular Swing-up method based on feedback linearization and Total Energy Shaping (TES) considerations. The basic idea to solve the problem of driving the pendulum from down or any to upright position has been always ...

It has been shown in the past that pulsed laser systems operating in the so-called “burst mode” are a beneficial approach to generate high peak power laser pulses at high repetition rates suitable for various applications. So far, most high-energy burst-mode laser systems put great effort into generating a homogeneous energy distribution across the burst duration, e.g., by shaping the pump puls...

Generalized Phase Contrast (GPC) is an efficient method for generating speckle-free contiguous optical distributions useful in diverse applications such as static beam shaping, optical manipulation and recently, for excitation in two-photon optogenetics. To fully utilize typical Gaussian lasers in such applications, we analytically derive conditions for photon efficient light shaping with GPC. ...