Adaptive State Constrained Control of a Flexible Riser System With Transient Performance

A novel adaptive constraint control approach is proposed for flexible riser systems characterized by uncertain parameters and external disturbances, aimed at achieving the desired transient performance. By combining Hamilton’s principle with partial differential equations (PDEs), the physical model is transformed into a dynamic model. Considering the boundary position constraint, a boundary controller is built using the tangent barrier Lyapunov function (BLF) to mitigate vibrations. In order to ensure the convergence of the boundary position error at a predetermined rate, the control approach incorporates a performance function to attain the necessary transient performance. An auxiliary term is defined to counteract the impact of coupling terms that remain during the decoupling process of PDEs. Finally, the above scheme is further validated through MATLAB simulations.