Analysis and numerical simulation of a nonlinear mathematical model for testing the manoeuvrability capabilities of a submarine

DOI10.1016/j.nonrwa.2010.11.001zbMath1217.49004OpenAlexW2002058481MaRDI QIDQ533056

Yong-Cai Geng, Sumit K. Garg

Publication date: 2 May 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.11.001

zbMATH Keywords

optimal control problemnumerical simulationexistence theoryconstraints on state and controlmanned submarinemanoeuvrability control

Mathematics Subject Classification ID

Newton-type methods (49M15) Applications of optimal control and differential games (49N90) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (2)

Set-point control for folded configuration of 3-link underactuated gymnastic planar robot: new results beyond the swing-up control ⋮ A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing-venting control system of manned submarines

Uses Software

• RODAS

Cites Work

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• A local existence result for an optimal control problem modeling the manoeuvring of an underwater vehicle
• Existence theorems for general control problems of Bolza and Lagrange
• One-step methods of any order for ordinary differential equations with discontinuous right-hand sides
• Numerical methods for optimal control problems with state constraints
• Existence Results for Optimal Control Problems with Some Special Nonlinear Dependence on State and Control
• Trajectory-Tracking and Path-Following of Underactuated Autonomous Vehicles With Parametric Modeling Uncertainty
• A refinement on existence results in nonconvex optimal control

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