TY - JOUR T1 - Time Optimal Trajectory Planning For a High Speed Planing Boat TT - طراحی مسیر بهینه برای یک شناور تندروی پروازی با هدف کمینه سازی زمان JF - joc-isice JO - joc-isice VL - 5 IS - 3 UR - http://joc.kntu.ac.ir/article-1-82-en.html Y1 - 2011 SP - 57 EP - 68 KW - High Speed Planing Boat KW - Trajectory Optimization KW - Hamiltonian Boundary Value Problem KW - Steepest Descent Approach KW - Linear Extended Penalty Function Method. N2 - In this paper, the problem of trajectory planning for a high speed planing boat with the aim of time optimization under nonlinear equality and inequality constraints is addressed. First, a nonlinear mathematical model of the craft dynamic and then the Hamiltonian boundary value problem (HBVP) equations are derived. The problem is solved using nolinear programming by discretizing the control time history and adjoining the constraints to the cost function via Linear Extended Penalty Function (LEPF) method. The Steepest Descent (SD) approach is used to solve this nonlinear programming. Some examples of boat minimum time maneuver are presented to demonstrate the effectiveness of the approach for designing optimal maneuvers M3 ER -