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• W2088498500 abstract "A new three-dimension nonlinear <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> guidance law is proposed to intercept an unknown maneuvering target. By using the modified polar coordinate (MPC), nonlinear relative motion equations only contain three state variables. Then we apply the nonlinear <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> control theory into system equations to get an analytic <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> guidance law, which has the same expression as true proportional navigation (TPN). The proposed <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> guidance law can ensure system <i xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>L</i> <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> gain less than or equal to a positive constant. Some results of performance analysis including capture region, capture region with acceleration constraint, an integral expression of time-to-go, and miss distance are derived analytically. Particularly, the capture region with acceleration constraint is an important improvement upon the capture region of TPN and is significant for applications. Finally, some numerical examples illustrate the theories clearly, and some simulations are conducted to validate the academic results." @default.
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• W2088498500 date "2012-01-01" @default.
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• W2088498500 title "Three-Dimension $H_infty$ Guidance Law and Capture Region Analysis" @default.
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• W2088498500 doi "https://doi.org/10.1109/taes.2012.6129645" @default.
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