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[CT060]

CT060 (1/1) : Fredholm integral equations (45B) / Model systems in control theory (93C)

Session Time & Room : 1C (Aug.21, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : Scattering of obliquely incident gravity waves by a horizontal floating flexible porous membrane in the water of finite depth having a variable bottom bed is analyzed. A coupled eigenfunction expansion - boundary element method is used for the solution purpose. The effect of sinusoidally varying bottom topography, membrane porosity and heading angle of the incident wave on the Bragg resonance is analyzed.
Classification : 45B05, 76B15, Integral Equations
Format : Talk at Waseda University
Author(s) :
- SANTANU KOLEY (Birla Institute of Technology and Science - Pilani, Hyderabad Campus)

Session Time & Room : 1C (Aug.21, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : The hydrodynamics of a hybrid wave energy converter device is investigated. For the sake of mathematical modeling, the associated boundary value problem is converted into a system of Fredholm integral equations and solved using the boundary element method. To incorporate the higher order plate boundary condition, central difference scheme is used. Primary emphasis is given to analyze the power extraction of the hybrid wave energy converter device for various incident wave parameters associated with the hybrid wave energy converter device.
Classification : 45B05, 76B15, 76B07
Format : Talk at Waseda University
Author(s) :
- KSHMA TRIVEDI (Birla Institute of Technology and Science-Pilani, Hyderabad campus)
- SANTANU KOLEY (Birla Institute of Technology and Science-Pilani, Hyderabad campus)

Session Time & Room : 1C (Aug.21, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : This study examines the dispersion of water waves by inverted semicircular surface-piercing wave barriers installed on a stepped seabed. The “Boundary element method” is applied to handle the present “Boundary value problem”. In addition to this energy identity is derived to estimate the dispersion of wave energy by the pair of perforated wave barriers. In addition, the influence of porosity, geometrical configurations of pair of porous barriers, and stepped seabed on the energy dissipation are investigated. The study reveals that for smaller Keulegan-Carpenter (KC) number, the “energy dissipation” due to the perforated barriers is higher. However, the reflection coefficient shows the opposite pattern.
Classification : 45B05, 45G15, 45F05
Format : Online Talk on Zoom
Author(s) :
- SANTANU KUMAR DASH (Birla Institute of Technology and Science-Pilani, Hyderabad campus)
- SANTANU KOLEY (Birla Institute of Technology and Science - Pilani, Hyderabad Campus)

Session Time & Room : 1C (Aug.21, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : This study examines the dispersion of water waves by inverted semicircular surface-piercing wave barriers installed on a stepped seabed in presence of a rigid wall in the right far-field boundary. The boundary element method is applied to handle the present boundary value problem. In addition, the energy identity is derived to estimate wave energy dispersion by the pair of perforated wave barriers. The influence of porosity, geometrical configurations of pair of porous barriers, and stepped seabed on the energy dissipation are investigated. The study reveals that for smaller Keulegan-Carpenter (KC) number, the energy dissipation due to the perforated barriers is higher. However, the reflection coefficient shows the opposite pattern.
Classification : 45B05, 45G15, 45F05
Format : Online Talk on Zoom
Author(s) :
- KAILASH CHAND SWAMI (Birla Institute of Technology & Science-Pilani,Hyderabad Campus)
- SANTANU KOLEY (Birla Institute of Technology and Science - Pilani, Hyderabad Campus)

Session Time & Room : 1C (Aug.21, 13:20-15:00) @F311
Type : Contributed Talk
Abstract : The stabilization and disturbance rejection issues for periodic control systems with actuator faults and external disturbances are investigated through a proportional integral observer approach. An equivalent-input-disturbance approach is employed to estimate the external disturbances. Moreover, proportional integral observer provides more design freedom and enhances the estimation precision of equivalent-input-disturbance. A periodic time-varying control framework is proposed to guarantee robust performance of the system. The potential of the proposed control design is validated via numerical simulations.
Classification : 93CXX, 37MXX, 37N35, 34H05, 34H15
Author(s) :
- Satheesh Thangavel (Bharathiar University)
- Sakthivel Rathinasamy (Bharathiar University)