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• W2087651566 abstract "We investigate an <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> robust observer-based stabilization design problem for linear stochastic partial differential systems (LSPDSs) under spatio-temporal disturbances and sensor measurement noises. A general theoretical <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> robust observer-based stabilization method is introduced at the beginning for LSPDSs under intrinsic fluctuation, external disturbance and sensor measurement noise in the spatio-temporal domain. A complex Hamilton Jacobi integral inequality (HJII) needs to be solved when designing the robust <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> observer-based stabilization for LSPDSs. For simplifying the design procedure, a stochastic state space model is first developed via the semi-discretization finite difference scheme to represent the stochastic partial differential system at each grid node. Then the stochastic state space models at all grid nodes are merged together into a stochastic spatial state space model. Based on this stochastic spatial state space model, an implementable <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> robust stabilization design is proposed for LSPDSs via an iterative linear matrix inequality (ILMI) method. The proposed robust <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> stabilization design can efficiently attenuate the effect of spatio-temporal external disturbances and measurement noises upon LSPDSs from the area energy point of view. Finally, a robust <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>H</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> stabilization example simulation is shown to illustrate the design procedure and to confirm the performance of the proposed robust stabilization design method." @default.
• W2087651566 created "2016-06-24" @default.
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• W2087651566 date "2013-04-01" @default.
• W2087651566 modified "2023-10-16" @default.
• W2087651566 title "Robust Stabilization Design for Stochastic Partial Differential Systems Under Spatio-temporal Disturbances and Sensor Measurement Noises" @default.
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• W2087651566 doi "https://doi.org/10.1109/tcsi.2012.2209296" @default.
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