Integral Sliding Mode Control for Seismic Effect Regulation on Buildings Using ATMD and MRD

Abstract

Seismic effects control in recent years has attracted considerable attention to reduce their effects for the safety of humans and structures. Therefore, in this work Integral Sliding Mode Control Based on Barrier Function (ISMCbf) is applied for the first time to regulate the displacement of a three-story scaled structure against earthquake excitation. This new type of controller does not need any information of the upper bound of the disturbance. Firstly, the controller is applied to a semi active Magneto Rheological Damper (MRD) and compared to the performance of Active Tuned Mass Damper (ATMD) under the effect of two different simulated earthquakes: time scaled El Centro 1940 earthquake and Mexico City earthquake. ISMCbf with MRD reduced the displacement of the structure with lower required controlled force as compared to ATMD with ISMCbf behavior. Secondly, the efficiency of ISMCbf with MRD is shown when compared to other controllers with MRD from previous studies.

A Comparative Study of Synergetic and Sliding Mode Controllers for Pendulum Systems

“…As future extension of this study, other control schemes can be used to control the pendulum system [15][16][17][18][19][20], or one can use modern optimization techniques to tune the design parameters of SC and SMC towards their improvement [21][22][23][24][25].…”

Design of Integral Sliding Mode Control for Seismic Effect Regulation on Buildings with Unmatched Disturbance

“…SMC has two phases, reaching phase and sliding phase. During reaching phase the system is affected by the perturbation, while during sliding phase the system is not affected by it [15,25]. Therefore, it is desired to reduce or even remove the reaching phase.…”

“…Active devices have been used in many studies [5][6][7][8][9]. Active control needs a high power source [10][11][12], so this challenge led to a semiactive control which does not need a high power source because it works on the battery power [13][14][15].…”

Design of Robust Control for Vehicle Steer-by-Wire System

“…The time-derivative of Equation ( 18) gives 𝑉 ̇= 𝑠 𝑠̇ (19) To guarantee an attractive sliding manifold, the condition below has to be satisfied (Hameed et al, 2019;Husain & MohammadRidha, 2022c 22), the design parameter 𝑀 has to be chosen such that 𝑀 ≥ |∆| + ɛ (23) where ɛ is a very small positive value. At the sliding phase, where 𝑠 = 𝑠̇= 0, the discontinuous control part is responsible for compensating for the uncertainties in system parameters; that is,…”