The problem of minimum-time damping of a pendulum is a classical problem of control theory. In the linear case, described by the equation ẍ + x = u, |u| ≤ 1, its solution is stated in [1]. The optimal control is of bang-bang type, i.e. it takes values u = ±1, and the switching curve which separates the domain of the phase plane, where u = −1 from the domain u = +1 consists of unit semicircles c...

Several efforts were made over the years to control vibration of structural components made of composite materials. This paper consists of study on effect of using shape memory alloy (SMA) to increase the damping of glass fiber reinforced plastic (GFRP) composites. A comparative study between SMA and steel was made as reinforcement material in GFRP composites to enhance damping. Dimensions of e...

Introduced as a system in earthquake engineering in 2004 [6], rocking walls are a fairly new system in earthquake engineering. Their performance has been proven, both in research as in practice. However, a few uncertainties about their behavior still remain. One of these uncertainties is the effect of radiation damping on the motion of the system. Existing estimations for the radiation damping ...

For systems with large degrees of freedom, it is difficult to guess meaningful values of Rayleigh damping coefficients α and β at the start of an analysis. A number of general-purpose commercially available have the provision of providing the value of α and β for calculation of Rayleigh damping matrix for dynamic analysis of systems with multi-degree of freedom. Since an engineer may not be in ...

This project proposes a novel objective function and algorithm to obtain a set of optimal power system stabilizer (PSS) parameters that include a feedback signal of a remote machine and local and remote input signal ratios for each machine in a Multi-machine power system under various operating conditions. A novel function called the damping scale is proposed and formulated as an objective func...

This paper proposes a systematic control design method for active damping of grid-connected voltage source converters (VSCs). The proposed considers the conventional cascaded loops and improves them by including additional states feedback-based damping. In such way, all gains are lumped into one gain matrix based on formulation. lumping leads to linear optimization problem, so different techniq...