Active control synthesis for parametric instability of container ship model

• Published in: Acta mechanica Vol. 235; no. 9; pp. 5673 - 5696
• Main Authors: Lee, Sang-Do, You, Sam-Sang, Long, Le Ngoc Bao, Phuc, Bui Duc Hong, Kim, Hwan-Seong
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01-09-2024; Springer Nature B.V
• Subjects: Active control; Adaptive algorithms; Adaptive control; Cargo ships; Classical and Continuum Physics; Container ships; Containers; Control; Control algorithms; Control stability; Control theory; Dynamic stability; Dynamical Systems; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Heat and Mass Transfer; Marine transportation; Motion stability; Nonlinear control; Nonlinear dynamics; Original Paper; Pitch (inclination); Resonance; Robust control; Rolling motion; Sea vessels; Solid Mechanics; Synthesis; Theoretical and Applied Mechanics; Transport phenomena; Vibration
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-024-04011-z

The active stabilization of heave/pitch motions and parametric roll resonance of nonlinear ship dynamics is crucial for various maritime applications to ensure the safe operation of vessels under high sea conditions. This paper highlights a new model-based control synthesis to mitigate dynamic instability associated with parametric resonance in a container ship model presented in descriptor form, ensuring safety and efficiency in maritime transport. A novel control strategy has solved the peak phenomena of sliding variables and the hardship in suppressing displacement/angle and velocity, especially in pitch motion. The adaptive fractional-order super-twisting algorithm is realized by guaranteeing several potential advantages over other approaches, such as non-overestimating adaptive gains, smooth control action with chattering reduction, stability, and robustness against disturbances. The Lyapunov theory proves the robust stability of the proposed control algorithm. The effectiveness of the new ship controller is verified via numerical simulation tests. Finally, an active control mechanism guarantees the safe maneuvering of large container ships on heavy seas with big waves.