ptimal passive-damping design using a decentralized velocity-feedback H-Infinity approach

Abstract

In this work, a new strategy to design passive energy dissipation systems for vibration control of large structures is presented. The method is based on the equivalence between passive damping systems and fully decentralized static velocity-feedback controllers. This equivalence allows to take advantage of recent developments in static output-feedback control design to formulate the passive-damping design as a single optimization problem with Linear Matrix Inequality constraints. To illustrate the application of the proposed methodology, a passive damping system is designed for the seismic protection of a five-story building with excellent results.

Integrated Design of Hybrid Interstory-Interbuilding Multi-Actuation Schemes for Vibration Control of Adjacent Buildings under Seismic Excitations

“…As indicated in [17,40], if the gain matrix elementsk i are all negative, then this kind of controllers admit a passive implementation using linear viscous dampers. Thus, for instance, by applying this design methodology to the control configuration CC1, we obtain the following diagonal gain matrix:…”

“…To meet the former objective, we assume that the relative velocities associated to the actuation devices are measurable and compute static velocity-feedback H ∞ controllers following an advanced linear matrix inequality (LMI) approach [38,39]. While, in the latter, the actuation devices are assumed to be passive viscous dampers and the corresponding damping capacities are computed by designing a fully decentralized velocity-feedback H ∞ controller [40]. The main problem is described by means of a particular two-building system equipped with different linked and unlinked actuation schemes.…”

Recent Advances in Static Output-Feedback Controller Design with Applications to Vibration Control of Large Structures

“…Remark 13 It has to be highlighted that the decentralized velocity-feedback controllers defined by the diagonal output gain matrices K (d) and K (d) can be implemented by means of a system of passive linear dampers with no sensors, no communication system and null power consumption [Palacios-Quiñonero et al (2012c)]. The performance of the proposed decentralized velocity-feedback controllers, illustrated by the plots in Fig.…”

“…For vibration control of large structures, fully decentralized static velocity-feedback controllers constitute a case of singular interest. This kind of controllers can be defined by a diagonal output gain matrix and can have the outstanding property of admitting a passive implementation [Palacios-Quiñonero et al (2012c)]. The main objective of this section is to obtain fully decentralized velocity-feedback controllers of the following form: …”

Finite-Time Vibration Control of Earthquake Excited Linear Structures with Input Time-Delay and Saturation

“…As structural buildings become higher and higher, their stability and solidity are challenged and cannot be guaranteed only by those passive and semi-active control methods. Thus, the status of active control [1] for structural buildings becomes more and more significant, and many achievements have been reached by the scholars during the last decades, such as, output-feedback control [2][3] classical H ∞ control [4][5], energy-to-peak control [6][7][8], robust sampled-data control [9], sliding mode control [10][11][12][13], adaptive control [14], fuzzy control [15], neural networks [16], optimal control [17][18], etc., have been applied to the vibration attenuation for buildings structures. Furthermore, some active control devices also were designed for applying those control algorithms.…”