Indexing
All Issues
Submission
Author Guidelines
Reviewers
Editorial Members
Publication Fee
Vol.1 , No. 1, Publication Date: Jul. 7, 2014, Page: 1-8
 model are developed. The algorithm developed represents a discrete-time mathematical procedure for determining the optimal control matrix which allows to deducting the output optimal feedback. The combination of active, and passive variable stiffness and friction model developed, which in turn a combination of strings and frictions arranged in a certain manner, to reduce as possible the responses due to earthquakes in the two horizontal principal directions of the structures analyzed. As an application, a same seven floors uncontrolled, active-controlled and semi-active-controlled structure was studied according to the new developments. The illustrations shown below the responses and the acted forces and too, the considerable differences between them for uncontrolled, active-controlled and semi-active-controlled for the same structure studied.&picture=http://www.aascit.org/aascit/decorators/img/journal/920.jpg)
| [1] | Tahar Latreche, Civil Engineering, B.P. 129 Salem Lalmi, 40003 Khenchela, Algeria. |
The nonlinearity is an essential characteristic of structural materials, and there’s luck indeed in the literature, when talking about nonlinear structures rested on active or semi-active base isolations. Except the electro-rheological base isolations, there are be developments of semi-active mechanical models even nonlinear with their resolution algorithms, which analyze the structures as ideally linear, these analyses make these algorithms and the results obtaining less efficiency. In this contribution, a nonlinear closed-loop optimal control algorithm and a Semi-Active Isolator (SAI) model are developed. The algorithm developed represents a discrete-time mathematical procedure for determining the optimal control matrix which allows to deducting the output optimal feedback. The combination of active, and passive variable stiffness and friction model developed, which in turn a combination of strings and frictions arranged in a certain manner, to reduce as possible the responses due to earthquakes in the two horizontal principal directions of the structures analyzed. As an application, a same seven floors uncontrolled, active-controlled and semi-active-controlled structure was studied according to the new developments. The illustrations shown below the responses and the acted forces and too, the considerable differences between them for uncontrolled, active-controlled and semi-active-controlled for the same structure studied.
Keywords
Semi-Active Model, Closed-Loop Control, Optimal Control, Nonlinear Analysis, Seismic Excitation
Reference
| [01] | Anderson, B. D. O. et Moore, J. B., (1971). Linear optimal control. First Edition, Prentice-Hall, Inc. |
| [02] | Anderson, B. D. O. et Moore, J. B., (1979). Optimal Filtering. First Edition, Prentice-Hall, Inc. |
| [03] | Anderson, B. D. O. et Moore, J. B., (1989). Optimal control, linear quadratic methods. First Edition, Prentice-Hall, Inc. |
| [04] | Arfiadi, Y., (2000). Optimal passive and active control mechanisms for seismically excited buildings. PhD Thesis, University of Wollongong |
| [05] | Astolfi, A. et Marconi, L., (2008). Analysis and design of nonlinear control systems. First Edition, Springer Publishers |
| [06] | Elliott, D. L., (2009). Bilinear control systems. First Edition, Springer Publishers |
| [07] | Grewal, M. S. et Andrews, A. P., (2008). Kalman Filtering: Theory and practice. Third Edition, John Wiley and Sons, Inc. |
| [08] | Grune, L. et Pannek, J., (2011). Nonlinear model predictive control. First Edition, Springer Publishers |
| [09] | Isidori, A., (1999). Nonlinear control systems 2. First Edition, Springer Publishers |
| [10] | Krishnamoorthy A., (2010). Variable curvature pendulum isolator and viscous fluid damper for seismic isolation of structures. JVC, 17: 1779–1790 |
| [11] | Latreche, T., (2014). A discrete-time algorithm for the resolution of the Nonlinear Riccati Matrix Differential Equation for the optimal control. AJCE, 2: 12-17 |
| [12] | Lu L. Y. et al., (2011). Modeling and experimental verification of a variable-stiffness isolation system using a leverage mechanism. 17: 1869–1885 |
| [13] | Lu L. Y. et Lin G. L., (2009). Fuzzy Friction Controllers For Semi-active Seismic Isolation Systems. JIMSS, 20: 1747-1770 |
| [14] | Marazzi, F., (2002). Semi-active control for civil structures: Implementation aspects. PhD Thesis, University of Pavia |
| [15] | Nagarajaiah S. et al., (2006). Nonlinear response spectra of smart sliding isolated structures with independently MR and dampers and variable stiffness SAIVS system. SEM, 24: 375-393 |
| [16] | Preumont, A., (2002). Vibration control of active structures: An Introduction. Second Edition, Kluwer Academic Publishers |
| [17] | Vér, I. L. et Beranek, L. L., (2006). Noise and vibration control engineering. First Edition, John Wiley and Sons, Inc. |
| [18] | William, S. L., (2011). Control system: Fundamentals. Second Edition, Taylor and Francis Group, LLC |
| [19] | William, S. L., (2011). Control system: Applications. Second Edition, Taylor and Francis Group, LLC |
| [20] | William, S. L., (2011). Control system: Advanced methods. Second Edition, Taylor and Francis Group, LLC |
