Backstepping Control for Nonlinear Systems of Offshore Platforms
نویسندگان
چکیده
The vibration control problem of offshore jacket platforms is studied. According to Morison equation, the total wave force acting on the offshore structure is obtained and is generated by an exosystem. Considering the nonlinear interaction of pile-soil, which is described by a fifth order anti-symmetric polynomial, the nonlinear dynamical model of offshore platforms affected by the wave load disturbances is established and its state-space described model is constructed by introducing the state vector. Based on Lyapunov stability theory, two Lyapunov candidate functions are chosen, then a back stepping controller is developed for the nonlinear systems of offshore structures under wave loading, and the nonlinear vibration control systems of the offshore platforms is exponentially stable. Numerical simulations illustrate the effectiveness of the proposed controller.
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