49th IEEE Conference on Decision and Control (CDC) 2010
DOI: 10.1109/cdc.2010.5717781
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Fault tolerant plug and play vibration control in building structures

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Cited by 4 publications
(5 citation statements)
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“…According to Equation (15), the necessary optimality conditions, obtained from the optimal control theory [ 28 ], are …”
Section: Resultsmentioning
confidence: 99%
“…According to Equation (15), the necessary optimality conditions, obtained from the optimal control theory [ 28 ], are …”
Section: Resultsmentioning
confidence: 99%
“…The reference model is a three-story shear-frame structure whose vibration responses is controlled by a linear controller designed by the linear quadratic regulator (LQR) method, in which š‘ = 10 āˆ’9 šˆ and š = šˆ. The mass, stiffness, and damping matrices are as follows (Chung et al, 1989;Larbah & Patton, 2010):…”
Section: Reference Model and Unknown Buildingmentioning
confidence: 99%
“…The reference model is a threeā€story shearā€frame structure whose vibration responses is controlled by a linear controller designed by the linear quadratic regulator (LQR) method, in which boldR=10āˆ’9boldI$\mathbf{R}\hspace*{0.28em}={10}^{-9}\hspace*{0.28em}\mathbf{I}$ and boldQ=boldI${\bf{Q}}{\rm{\;}} = {\rm{\;}}{\bf{I}}$. The mass, stiffness, and damping matrices are as follows (Chung et al., 1989; Larbah & Patton, 2010): M=600060006Ɨ103kg,K=3.4badbreakāˆ’1.80badbreakāˆ’1.83.4badbreakāˆ’1.60badbreakāˆ’1.61.6Ɨ106normalN/normalm,andC=12.4badbreakāˆ’5.160badbreakāˆ’5.1612.4badbreakāˆ’4.590badbreakāˆ’4.597.20Ɨ103normalN/m/s\begin{equation} \def\eqcellsep{&}\begin{array}{l} {\bf{M}}\; = \left[ { \def\eqcellsep{&}\begin{array}{@{}*{3}{c}@{}} 6&0&0\\ 0 \quad &6 \quad & 0\\ 0 \quad &0 \quad &6 \end{array} } \right]{\rm{\;}} \times {10^3}\,{\rm{kg}},\\ {\bf{K}}\; = \left[ { \def\eqcellsep{&}\begin{array}{@{}*{3}{c}@{}} {3.4}&{ - 1.8}&0\\ { - 1.8}&{3.4}&{ - 1.6}\\ 0&{ - 1.6}&{1.6} \end{array} } \right]\; \times {10^6}{\rm{N/m}},{\rm{and}}\\ {\bf{C}}\; = \left[ { \def\eqcellsep{&}\begin{array}{@{}*{3}{c}@{}} {12.4}&{ - 5.16}&0\\ { - 5.16}&{12.4}&{ - 4.59}\\ 0&{ - 4.59}&{7.2...…”
Section: Numerical Simulationmentioning
confidence: 99%
“…studied their decentralized algorithm for local failure in a sub-system of a twenty-story benchmark building. Larbah and Patton (2010) evaluated their hierarchical control model for different scenarios of actuator fault in a three-story building model. Palacios-Quinonero et al (2012), also studied the performance of their proposed semi-decentralized overlapping approach for two adjacent buildings in the case of partial failures of the control system.…”
Section: Introductionmentioning
confidence: 99%