Design of Distributed Multi-Actuator Systems with Incomplete State Information for Vibration Control of Large Structures

Abstract

Abstract:In this paper, we investigate the design and performance of static feedback controllers with partial-state information for the seismic protection of tall buildings equipped with incomplete multi-actuation systems. The proposed approach considers a partially instrumented multi-story building with an incomplete system of interstory force-actuation devices implemented on selected levels of the building, and an associated set of collocated sensors that measure the corresponding interstory drifts and interstory velocities. The main elements of the proposed controller design methodology are presented by means of a twenty-story building equipped with a system of ten interstory actuators arranged in three different layouts: concentrated, semi-distributed and fully-distributed. For these control configurations, partial-state controllers are designed following a static output-feedback H-infinity controller design approach, and the corresponding frequency and time responses are investigated. The obtained results clearly indicate that the proposed partial-state controllers are effective in mitigating the building seismic response. They also show that a suitable distribution of the instrumented stories is a relevant factor in the control system performance.

Feedback control of linear systems with optimal sensor and actuator selection

“…The building is modeled as depicted in Figure 1, following the approach from Palacios-Quiñonero et al (2018). The dynamical model for the lateral displacement can be constructed in state-space matrices form aswhere M and K s correspond to the mass and stiffness matrices, respectively, that display the mechanical characteristics of the building with n stories and p actuators, and their structure is given as followsand the parameters m i and k i are given in Table 1, and λ = 6 × 10 4 in (17) represents a constant for scaling the inputs of the plant.…”

“…Researchers Palacios-Quiñonero et al (2018) investigated scriptH∞ state feedback and partial state feedback control design by allocating the actuator pair locations using three different strategies. In the first strategy, they considered a concentrated actuation scheme by selecting the first 10 locations.…”

An Optimal Seismic Force Pattern for Uniform Drift Distribution

“…According to codes, this base shear has to be distributed proportionally to the storey masses being recognised that first elastic mode shape is mostly predominant. As a consequence, the employment of such a load pattern does not guarantee the optimum use of materials in the nonlinear range of behaviour [6][7][8][9]. However, the common designer is pushed to use such force distributions by static analyses and also when non-linear analyses (e.g., pushover) are performed [10,11].…”