New discrete-time robust H2/H∞ algorithm for vibration control of smart structures using linear matrix inequalities

Li, Zhijun; Adeli, Hojjat

doi:10.1016/j.engappai.2016.05.008

Cited by 33 publications

(30 citation statements)

References 65 publications

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“…These are active, semi-active, and hybrid systems. [57] While active systems can effectively mitigate most of the disadvantages of conventional TMDs, with considerable recent improvements in their control algorithms to improve their response, [58][59][60][61][62][63][64][65][66] they typically result in a higher cost and require a large source of external power, which makes them less reliable and practical. To overcome this last detriment, semi-active systems are devised to require only a minimum amount of external energy.…”

Section: Conventional Approachesmentioning

confidence: 99%

An integrated damping system for tall buildings

Martinez-Paneda

Elghazouli

2020

Structural Design Tall Build

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Summary This paper proposes an integrated damping system that aims at providing relatively high damping levels through the mobilization of a proportion of the structure's own mass. This offers significantly higher mass levels and, consequently, considerably more damping compared to conventional tuned mass dampers. Fluid viscous dampers are used to control accelerations in parallel with springs to resist the static loads applied to the moving mass. The advantages of employing relatively large mass levels in achieving considerable damping and reducing sensitivity to tuning are first analyzed using an idealized two degree of freedom structural representation. This is then followed by a description of the proposed “integrated damping system,” which is illustrated through a case study of a 250‐m tall building. The benefits of the proposed damping system are demonstrated through several numerical parametric assessments, as well as a selected suite of earthquake records. For the adopted case study, it is shown that, besides reducing the level of perceivable accelerations, the use of the suggested arrangement can offer an equivalent damping exceeding 50% of the critical damping, resulting in more than 40% reduction in the wind loads as well as over 60% reduction in displacement and acceleration response under seismic excitations.

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Section: Conventional Approachesmentioning

confidence: 99%

An integrated damping system for tall buildings

Martinez-Paneda

Elghazouli

2020

Structural Design Tall Build

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“…Using the linear matrix inequalities (LMI) to solve the Riccati equation is an effective approach (Du, Lam, & Sze, ; Du, Zhang, & Naghdy, ; Gahinet & Apkarian, ). Recently, Li and Adeli () presented a new robust and stable discrete‐time robust H 2 / H ∞ control algorithm where the uncertainties of structural parameters are considered in the time domain as opposed to the frequency domain. They employ a quadratic performance index that makes it practical for active control of large and complicated structures.…”

Section: Robust and Nonlinear Control Algorithmsmentioning

confidence: 99%

“…For an n-degrees-of-freedom (DOF) structure subjected to one-dimensional external excitation w(t) and active control forces, such as the one shown in Figure 2, the dynamic equation of motion is described as follows (Li & Adeli, 2016):…”

Section: Equations Of Motionmentioning

confidence: 99%

“…For an n ‐degrees‐of‐freedom (DOF) structure subjected to one‐dimensional external excitation w ( t ) and active control forces, such as the one shown in Figure , the dynamic equation of motion is described as follows (Li & Adeli, ):

bold-italicM \overset{X}{true} + bold-italicC \overset{X}{true} + bold-italicKX = - bold-italicM \overset{I}{true} w ((), t) + B_{s} bold-italicU ((), t),

…”

Section: Introductionmentioning

confidence: 99%

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Control methodologies for vibration control of smart civil and mechanical structures

Adeli

2018

Expert Systems

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Artificial intelligence and expert system remains a key technology in the 21st century. Using active controllers, a structure can adaptively adjust its behaviour during dynamic loads. Such structures with self‐modifying capabilities are referred to as intelligent or smart structures. Smart structure technology has the potential to be a game changer in the structural engineering field. It promises to have enormous consequences in terms of preventing loss of life and damage to structure and their content especially for large structures with hundreds or thousands of components. A key element in successful implementation of smart active control technology is an effective control algorithm to compute the magnitudes of actual forces to be applied to the structure. In this paper, an overview of main active control methodologies for vibration control of smart civil and mechanical structures subjected to external dynamic loads is presented. The advantages and the disadvantages of different control algorithms are discussed. Finally, new trends in control algorithm research are pointed out including multiparadigm strategies, decentralized control, application of deep neural network machine learning techniques, control design for sustainability, and unification of the two fields of structural health monitoring and vibration control.

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“…The ATMDs offer the advantages of varying the properties of the TMD in real-time and incorporating additional force to the structural system using actuator. Such variations make the ATMDs more effective than the PTMDs in suppressing unwanted vibrations (Chang & Yang, 1995;Datta, 2003;Huang & Chou, 1995;Huo, Qu, & Li, 2016;Li & Adeli, 2016). However, they require a significant external power supply to operate.…”

Section: Introductionmentioning

confidence: 99%

Semi‐active algorithm for energy‐based predictive structural control using tuned mass dampers

Zelleke

Matsagar

2019

Computer aided Civil Eng

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A novel semi‐active control algorithm is developed and numerically evaluated for the suppression of undesirable structural vibrations. The mechanical energy of the vibrating structure is considered as the primary variable influencing the control action. This intuitive strategy is proposed to realize improved control of structural vibrations. The numerical study conducted reveals that the proposed energy‐based predictive (EBP) algorithm can be implemented on vibration control applications. The energy imparted to the structure is also reduced due to the proposed algorithm. The influence of the parameters of the proposed semi‐active tuned mass damper is studied. Further, the application of the proposed strategy on a realistic structure is numerically demonstrated by implementing the algorithm for the wind response control of a 76‐story benchmark building. The results show that the EBP algorithm is a competitive semi‐active strategy. The robustness of the strategy is also evaluated considering uncertainties in the properties of the benchmark building.

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New discrete-time robust H2/H∞ algorithm for vibration control of smart structures using linear matrix inequalities

Cited by 33 publications

References 65 publications

An integrated damping system for tall buildings

An integrated damping system for tall buildings

Control methodologies for vibration control of smart civil and mechanical structures

Semi‐active algorithm for energy‐based predictive structural control using tuned mass dampers

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