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H∞ Control Strategies for Irregular Buildings Considering Soil-Structure Interaction and Time-Delay Effects
|關鍵字:||H∞ control;H∞控制;selection of control parameters;torsion-coupling effect;soil-structure effect;time delay effect;控制參數選擇;扭轉耦合效應;土壤結構互制;時間延遲效應||出版社:||土木工程學系所||引用:||1. Soong T T, Cimellaro GP. Future directions in structural control. Structural Control and Health Monitoring 2009; 160(1): 7-16. 2. Spencer Jr BF. Special issue: Benchmark structural control problem. Journal of Engineering Mechanics (ASCE) 2004; 130(4): 363-524. 3. Soong TT and Spencer Jr BF. Active, semi-active and hybrid control of structures. Bulletin of the New Zealand National Society for Earthquake Engineering 2000; 33(3): 387-402. 4. Soong TT. Active Structural Control: Theory and Practice. Longman: New York, 1999. 5. Chung LL, Reinhorn AM, Soong TT. Experiment on active control of seismic structures. Journal of the Engineering Mechanics (ASCE) 1988; 114(2): 241-256. 6. Warnitchai P, Fujino Y, Benito MP, Agret R. An experimental study on active tendon control of cable-stayed bridges. 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An optimal H∞ control algorithm was employed to design active tendon control system in reducing structural seismic responses in this dissertation. For H∞ control systems, it is widely understood that selection of control parameters αand γ control force execution time delay are two major issues to assure control performance and system stability. Thus, when examining the applicability of active control, these two factors have to be taken into consideration. Furthermore, the neglect of both torsion-coupling (TC) and soil-structure interaction (SSI) effects in real buildings may greatly degrade the performance of active control systems in practice. To consider above both issues, this dissertation consists of two parts. The first part proposes a design procedure on selection of optimal control parameters of time-delayed control systems. The second part deals with the soil-structure interaction effect on vibration control effectiveness of active tendon systems for irregular buildings.
In the first part of this dissertation, the strategy to select both control parameters, α and γ, of H∞ control algorithm is investigated extensively to achieve optimal control performance. Analytical results show that decrease in γ or increase in α yields better control performance, but requires larger control forces. The selection range ofα and γ for a controlled system becoming overdamped or unstable is obtained. To assure system stability and better performance than LQR control, analytical expressions of the upper and lower bounds of α and γ are derived. Therefore, the seismic responses can be effectively reduced with an appropriate selection of α and γ. In addition, control force execution time delay cannot be avoided in real application of active control. Small delay time can degrade the control performance and may even cause system instability. Explicit formulae to calculate the maximum allowable delay time and critical control parameters of α and γ are also derived for the design of stable time-delayed control systems. The desired control performance can thus be guaranteed even with time delay.
The second part of this dissertation analyzes the soil-structure interaction effect on vibration control effectiveness of active tendon systems for an irregular building, which is modeled as a torsionally-coupled structure, subjected to earthquake excitations. An active tendon system using H∞ direct output feedback control algorithm is applied to reduce the seismic responses of TC building structures. The pre-calculated frequency-independent and time-invariant feedback gain matrix based on a fixed-base model is obtained. Numerical simulation results show that the required numbers of sensors, controllers and their installation locations depend highly on the degree of floor eccentricity. For a large two-way eccentric building, a one-way active tendon system placed in one of two frames farthest away from the center of resistance (C.R.) can reduce both translational and torsional responses. The SSI effect is governed by the slenderness ratio of superstructure and by the stiffness ratio of soil to superstructure. When the SSI effect is significant, the proposed control system can still reduce the structural responses with less effectiveness than that of assumed fixed base model. Therefore, the TC and SSI effects should be considered in the design of active control devices, especially for high-rise buildings located on soft site.
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