2019
DOI: 10.1016/j.engstruct.2019.02.031
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Semi-active vibration control of smart isolated highway bridge structures using replicator dynamics

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Cited by 66 publications
(30 citation statements)
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“…Let us assume that the dynamical system is linear and time invariant, and it is characterized by the state‐space equation trueboldx˙false(tfalse)=boldAxfalse(tfalse)+boldBufalse(tfalse)+boldEwfalse(tfalse), where boldxfalse(tfalse)n is the state vector at time t , boldufalse(tfalse)m is the control signal, and w is an external disturbance. The dynamics of a wide variety of active and semi‐active structures can be modeled by this equation 27‐30 . We consider the feedback control strategy boldufalse(tfalse)=boldFxfalse(tfalse), where F is the control matrix.…”
Section: Control Design Problem With Structural Sparsitymentioning
confidence: 99%
“…Let us assume that the dynamical system is linear and time invariant, and it is characterized by the state‐space equation trueboldx˙false(tfalse)=boldAxfalse(tfalse)+boldBufalse(tfalse)+boldEwfalse(tfalse), where boldxfalse(tfalse)n is the state vector at time t , boldufalse(tfalse)m is the control signal, and w is an external disturbance. The dynamics of a wide variety of active and semi‐active structures can be modeled by this equation 27‐30 . We consider the feedback control strategy boldufalse(tfalse)=boldFxfalse(tfalse), where F is the control matrix.…”
Section: Control Design Problem With Structural Sparsitymentioning
confidence: 99%
“…This method considers bounded real lemma and linear matrix inequalities methods in its implementation, which demonstrated to be robust for structures where active bracing systems and active tuned mass dampers are installed. Active and semiactive vibration control systems using many‐objective control algorithms (Gutierrez Soto & Adeli, 2017a), multiagent replicator controllers (Gutierrez Soto & Adeli, 2017b), neural dynamic optimization model and replicator dynamics (Gutierrez Soto & Adeli, 2019, 2018; Y. Zhang et al., 2019) have been recently presented in the literature.…”
Section: Introductionmentioning
confidence: 99%
“…An alternative approach is to incorporate game theory in design optimization (Gutierrez Soto & Adeli, 2017, 2018, 2019). A structural optimization problem can be considered as a game which aims to find the global optimal solution (e.g., minimal weight and optimal structural performance), under given design constraints.…”
Section: Introductionmentioning
confidence: 99%