Constant and switching gains in semi-active damping of vibrating structures

Set-Theoretic Methods in Control

“…The heuristic solution switches, as required, in the strip |x 1 | ≤ ρ, but cannot remain inside this strip (the vertical one), since it is not invariant, and then it undergoes a further switching and the damping is improperly set to the natural β again to eventually reach the braking region. An application of the proposed technique to more general vibrating structures has been proposed in [BCGM12,BCC + 14].…”

Switching Gains for Semiactive Damping via Nonconvex Lyapunov Functions

“…The ideas presented are in line with recent literature [28], [29]. In particular the concept of consistency proposed in [28] plays a fundamental role.…”

“…A state feedback switching control strategy is strictly consistent whenever it improves performance of all isolated subsystems. In contrast with our previous paper [29], where consistency is pursued by means of a single quadratic function, we exploit a theory recently reported in [30]- [32]. This fact supports recent switching control schemes based on composite functions [30] and LyapunovMetzler (LM) inequalities [33].…”

“…The optimal constant valueḡ, namely the value such thatJ 2 = E T P(ḡ)E can be found by standard optimization procedures (see for instance [29] and the references therein).…”

Effectiveness of resettable energy dissipating devices in seismic response modification of elastic SDoF systems

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Semi-active variable stiffness resettable devices can reduce seismic demands and damages in structures. In variable damping systems, where the effective damping rates are manipulated through the use of electro-rheological or magneto-rheological fluids of the systems' viscous dampers, often local energy considerations would lead to a maximum damping rate selection, effectively rendering the semi-active characteristics unexploited [23,24].This research aims at evaluating a relatively new class of semi-active variable stiffness energy dissipating systems with a decentralized control strategy. Within this setting, the research summarized herein measures the effectiveness of semi-active resettable energy dissipating devices in the Single-Degreeof-Freedom domain aiming at quantifying the sensitivity of their seismic response to variation in control parameters and generating the required knowledge to utilize such semi-active devices in the Multi-Degree-of-Freedom domain.

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