Linear Quadratic Gaussian-Alpha Control with Relative Stability and Gain Parameter for the Structural Benchmark Problems

Wang, Sheng-Guo

doi:10.1061/(asce)0733-9399(2004)130:4(511)

Cited by 16 publications

(11 citation statements)

References 9 publications

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“…The EBP algorithm is implemented on an SATMD with variable damping device, and its efficacy is evaluated by implementing the SATMD for the response control of a 76‐story wind‐excited benchmark building. The performances of various other control strategies involving SATMDs and ATMDs have previously been investigated and reported by researchers for the benchmark building (Battaini, Casciati, & Faravelli, ; Deshmukh & Chandiramani, ; Kang et al., ; Kim, Yun, & Spencer, ; Mei, Kareem, & Kantor, ; Peng, Gu, & Niemann, ; Pham, Jin, Sain, Spencer, & Liberty, ; Varadarajan & Nagarajaiah, ; Wang, ; Wang & Adeli, ; Wu & Yang, ; Yang et al., ; Yang, Lin, & Jabbari, ). The fundamental time period of the uncontrolled 76‐story building is 6.25 s. The mass of the SATMD used in this investigation is 500 t, which is similar to what is used by previously proposed strategies.…”

Section: Numerical Studymentioning

confidence: 99%

“…(); balanced LQG (BLQG) controller and the extension of BLQG using second‐cost‐cumulant (2CC) generalization of the popular LQG proposed by Pham et al. (); linear quadratic Gaussian‐alpha (LQG‐ α ) control strategy developed by Wang (); modified sliding mode control (MSMC) scheme proposed by Wu and Yang (); energy‐to‐peak based (E‐PB) control and peak‐to‐peak based (P‐PB) strategies proposed by Yang et al (); and filtered sliding mode control (Filtered SMC) proposed by Wang and Adeli ().…”

Section: Numerical Studymentioning

confidence: 99%

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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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Section: Numerical Studymentioning

confidence: 99%

Section: Numerical Studymentioning

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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“…Numerous applications of linear quadratic regulator (LQR) and linear quadratic Gaussian (LQG) methods in structural control have been proposed 1–3. LQR and LQG controllers are typically the baseline against which new approaches are judged 4–6, and some investigations have focused on enhancing these methodologies to improve system performance in the time domain 7, 8.…”

Section: Introductionmentioning

confidence: 99%

Demonstration of robust stability and performance of filter-enhanced H2/LQG controllers for a nonlinear structure

Shafieezadeh

Ryan

2010

Struct. Control Health Monit.

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This study illustrates the application of frequency‐dependent filters to improve the effectiveness of active control systems designed to mitigate the seismic response of large‐scale civil structures. Band‐pass pre‐filters are introduced to optimal H2/LQG controllers to reduce the maximum singular value of input–output transfer matrices over a defined frequency range. A structured uncertainty model is proposed to evaluate robustness of stability and performance for a structure with nonlinear force deformation. The proposed perturbation model accurately characterizes variations in the stiffness matrix, thereby reducing over‐conservatism in the estimated destabilizing perturbations. The aforementioned techniques are applied to a benchmark building. Numerical results indicate that introducing filters can enhance the performance of the system in almost all response measures, while preserving robustness of stability and performance. Copyright © 2010 John Wiley & Sons, Ltd.

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“…Wang (2003) proposed an active control approach for structural systems with uncertainties in model parameters by combining a robust state feedback control and a modifi ed Kalman fi lter. In 2004, Wang (2004) further proposed a modifi ed LQG control method, known as the LQG-α method, by introducing a relative stability vector and a gain parameter. Yang et al (2004) proposed two H ∞ -based control strategies for civil engineering structures in which the peak values of the control resources were penalized or constrained.…”

Section: Introductionmentioning

confidence: 99%

Robust H ∞ control for aseismic structures with uncertainties in model parameters

Song

Lin

Zhao

et al. 2007

Earthq. Eng. Eng. Vib.

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This paper presents a robust H ∞ output feedback control approach for structural systems with uncertainties in model parameters by using available acceleration measurements and proposes conditions for the existence of such a robust output feedback controller. The uncertainties of structural stiffness, damping and mass parameters are assumed to be norm-bounded. The proposed control approach is formulated within the framework of linear matrix inequalities, for which existing convex optimization techniques, such as the LMI toolbox in MATLAB, can be used effectively and conveniently. To illustrate the effectiveness of the proposed robust H ∞ strategy, a six-story building was subjected both to the 1940 El Centro earthquake record and to a suddenly applied Kanai-Tajimi fi ltered white noise random excitation. The results show that the proposed robust H ∞ controller provides satisfactory results with or without variation of the structural stiffness, damping and mass parameters.

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Linear Quadratic Gaussian-Alpha Control with Relative Stability and Gain Parameter for the Structural Benchmark Problems

Cited by 16 publications

References 9 publications

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

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

Demonstration of robust stability and performance of filter-enhanced H2/LQG controllers for a nonlinear structure

Robust H ∞ control for aseismic structures with uncertainties in model parameters

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