Multipoint instantaneous optimal control of structures

SUMMARYAlthough LQG regulators have been used in many engineering fields, the relevant control technique still requires further development, particularly when the disturbances are random and non-stationary. Therefore this paper presents a new method for non-stationary seismic random excitations in which LQG control is applied to adjacent tall buildings which are connected together by active hydraulic actuators. The ground motion is induced by non-stationary uniformly modulated white noise excitation of the bedrock which passes through a single layered soil which is regarded as a single-peak filter. This represents an advance on other papers in the literature, which use stationary random white noise or filtered white noise as the ground excitation. The method uses the pseudo excitation method in conjunction with two different precise integration schemes to analyse structural non-stationary seismic random responses via solution of the differential Riccati equations of this transient LQG control process. Unlike previous work in the literature, the performance index used has a finite time region, rather than an infinite one. Reasonable control effects are demonstrated via numerical simulation for two adjacent 20-storey buildings which are connected by hydraulic activators.

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“…Simulation results for structural seismic response can be obtained, by using Equations (6), (9), (12) and (15), asṗ…”

Section: Simulation Of the Lqg Control Problemmentioning

confidence: 99%

Precise integration strategy for aseismic LQG control of structures

Song¹,

Lin²,

Williams³

et al. 2006

Int. J. Numer. Meth. Engng

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“…Akhiev et al. () proposed a multipoint instantaneous performance index for active control of earthquake excited structures. The simple closed‐loop control algorithm does not need earthquake prediction and nonlinear solution of Riccati equation.…”

Section: Introductionmentioning

confidence: 99%

Active Tendon Control of Torsionally Irregular Structures under Near‐Fault Ground Motion Excitation

Niğdeli

Boduroğlu

2013

Computer aided Civil Eng

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“…Therefore, it is almost impossible to find the optimal control exactly for the structures under earthquake forces. The researchers proposed various control algorithms to overcome this deficiency of the classical control algorithms (Yang et al, 1987; Xu et al, 2005; Zang et al, 2004; Bakioglu and Aldemir, 2001; Akhiev et al, 2002). An innovative and ground‐breaking work in this area is the work of Adeli and Kim (2004, 2009; Kim and Adeli, 2004) who developed a novel wavelet‐hybrid feedback–Linear Mean Square (LMS) algorithm for robust control of large civil structures.…”

Section: Introductionmentioning

confidence: 99%

A Simple Active Control Algorithm for Earthquake Excited Structures

Aldemir

2010

Computer aided Civil Eng

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A simple integral type quadratic functional is proposed as the performance index so that the optimal control policy is derived based on the minimization of the proposed performance index between the successive control instants by using the method of calculus of variations. The resulting optimal control law is applied to seismically excited linear buildings modeled as lumped mass shear frame structures. Active tendon actuators are considered as control devices. The performance of the proposed control (PC) is investigated when the example structure is subjected to three different seismic inputs and compared to the uncontrolled case and the classical linear optimal control (CLOC), which requires the solution of nonlinear matrix Riccati equation. It is shown by numerical simulation results that the PC is capable of suppressing the uncontrolled seismic vibrations of the linear structures and performs better than the CLOC.

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Multipoint instantaneous optimal control of structures

Cited by 22 publications

References 15 publications

Precise integration strategy for aseismic LQG control of structures

Precise integration strategy for aseismic LQG control of structures

Active Tendon Control of Torsionally Irregular Structures under Near‐Fault Ground Motion Excitation

A Simple Active Control Algorithm for Earthquake Excited Structures

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