Integrated Design of Hybrid Interstory-Interbuilding Multi-Actuation Schemes for Vibration Control of Adjacent Buildings under Seismic Excitations +
Footnote †: _Applid_  
[PERSON]  
1 Department of Mathematics, Universitat Politecnica de Catalunya, Av. Bases de Manresa 61-73, 08242 Manresa, Barcelona, Spain; [EMAIL_ADDRESS] (J.R.-M.); [EMAIL_ADDRESS] (J.M.R.) [PERSON]  
1 Department of Mathematics, Universitat Politecnica de Catalunya, Av. Bases de Manresa 61-73, 08242 Manresa, Barcelona, Spain; [EMAIL_ADDRESS] (J.M.R.) [PERSON]  
1 Department of Mathematics, Universitat Politecnica de Catalunya, Av. Bases de Manresa 61-73, 08242 Manresa, Barcelona, Spain; [EMAIL_ADDRESS] (J.M.R.) [PERSON]  
1 Department of Mathematics, Universitat Politecnica de Catalunya, Av. Bases de Manresa 61-73, 08242 Manresa, Barcelona, Spain; [EMAIL_ADDRESS] (J.M.R.) [PERSON]  
2 Politecnico di Milano, Department of Mechanical Engineering, via La Masa 1, 20156 Milan, Italy; [EMAIL_ADDRESS]  
Footnote 1: email: {j. [PERSON]  
recently proposed, including passive linking systems with viscous and viscoelastic elements [13; 14; 15; 16; 17; 18], nonlinear linking dampers [19; 20], semiactive magnetorheological linking dampers [21; 22; 23], shared Tuned-Mass-Dampers [24; 25; 26], and active linking devices [27; 28]. Improved performance and robustness can be attained by hybrid control schemes that make a combined use of interbuilding linking elements and vibration control systems implemented in the individual buildings. Positive results are reported by recent works in this line, which combine the connected control method with base-isolation systems [29; 30; 31; 32; 33], multi-isolation systems [34], and interstory multi-actuation systems [35; 36; 37]. Encouraged by the aforementioned statements, in this paper two different kinds of force actuation devices are considered: _interstory actuators_, which are implemented between consecutive stories of the same building and exert structural forces restricted to this building, and _interbuilding actuators_, which are implemented between stories located at the same level of adjacent buildings and produce structural forces affecting both buildings (see Figure 1b). The main objective is to design effective vibration control systems with hybrid interstory-interbuilding multi-actuation schemes. More specifically, we are interested in designing: (i) active control systems with reduced and realistic feedback information, and (ii) passive control systems with high-performance characteristics. To meet the former objective, we assume that the relative velocities associated to the actuation devices are measurable and compute static velocity-feedback \(H_{\infty}\) 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 \(H_{\infty}\) controller [40]. The main problem is described by means of a particular two-building system equipped with different linked and unlinked actuation schemes. To assess the effectiveness of the proposed active and passive control strategies, the corresponding frequency responses are investigated. Also, a proper set of numerical simulations is conducted using the full scale North-South El Centro 1940 seismic record as ground acceleration disturbance. Figure 1: Two-building model: (**a**) Uncontrolled configuration. (**b**) Linked actuation scheme formed by two interstory actuators (\(d_{1}\) and \(d_{2}\)) and one interbuilding actuator (\(d_{3}\)). The rest of the paper is organized as follows: In Section 2, state-space models for the uncontrolled two-building system and the different linked and unlinked controlled configurations are provided. In Section 3, the centralized and decentralized static velocity-feedback \(H_{\infty}\) controllers are designed and the characteristics of the corresponding frequency responses are discussed.