“…The authors in Lezgy-Nazargah et al (2020) proposed state feedback and dynamic output feedback controllers by using the scriptH∞ control theory for vibration suppression in buildings considering time-delay effects in the measurements. More recently, further results on predictive vibration control were presented in Koutsoloukas et al (2022); Aguilar-Álvarez et al (2022). In general, vibration controllers assume the availability of state measurements given by displacements, velocities, and accelerations of each building story, which in most cases have to be estimated from accelerometer measurements on some (not all) stories, and to a lesser degree, from position available measurements the whole state can be estimated, for example, Li et al (2017); Beheshti-Aval and Lezgy-Nazargah (2010) where a positive acceleration, velocity, and position feedback control have been designed.…”