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Modelling, Analysis and Control of Blowing-Venting Operations in Manned Submarines

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Abstract (Original Language): 
Motivated by the study of the potential use of blowing and venting operations ofballast tanks in manned submarines as a complementary or alternative control systemfor manoeuvring, we first propose a mathematical model for these operations. Then weconsider the coupling of blowing and venting with the Feldman, variable mass, coefficient based hydrodynamic model for the equations of motion. The final complete modelis composed of a system of twenty-four nonlinear ordinary differential equations. In asecond part, we carry out a rigorous mathematical analysis of the model: existence of asolution is proved. As one of the possible applications of this model in naval engineeringproblems, we consider the problem of roll control in an emergency rising manoeuvreby using only blowing and venting. To this end, we formulate a suitable constrained,nonlinear, optimal control problem where controls are linked to the variable apertureof blowing and venting valves of each of the tanks. Existence of a solution for thisproblem is also proved. Finally, we address the numerical resolution of the controlproblem by using a descent algorithm. Numerical experiments seem to indicate that,indeed, an appropriate use of blowing and venting operations may help in the controlof this emergency manoeuvre.
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REFERENCES

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