Abstract
Vibration damping of jacket platforms is among the significant issues in marine science and engineering, and the design of active vibration control schemes is very important to ensure the stability and safety of the jacket platforms against external loadings. This paper provides three fuzzy output feedback H ∞ controllers of the jacket platforms for irregular wave forces. By considering time-varying masses of jacket platforms, a Takagi-Sugeno (T-S) fuzzy dynamic model of the structure is established. Then fuzzy output feedback H ∞ control schemes are developed via using output signals of the platform with current and/or are delayed. Several existence conditions of fuzzy output feedback H ∞ controllers are derived. Simulation results demonstrate that the fuzzy output feedback H ∞ control strategies are remarkable to suppress the vibration of structure. Moreover, by choosing proper delayed output information of the system, the presented delayed fuzzy output feedback H ∞ control schemes outperform the conventional fuzzy output feedback H ∞ control approach.
Highlights
As basic infrastructures for the development of ocean resources, offshore structures are unavoidably affected by several external loadings besides waves [1,2,3,4]
Consider a damping control problem of offshore structures equipped with active mass damper (AMD) mechanisms shown in Figure 1 [14]
The designed fuzzy output feedback control schemes are used to the jacket platform for mitigating the wave excited vibration
Summary
As basic infrastructures for the development of ocean resources, offshore structures are unavoidably affected by several external loadings besides waves [1,2,3,4]. To measure all state signals such as displacement, velocity and even acceleration of the system generally results in high control cost In this case, output feedback control is one of feasible and economic options. To design delayed output feedback controllers to depress the vibration of the jacket platform under the wave loading is our first motivation in this paper. By considering the time-varying masses of the offshore structure, in this paper, a T-S fuzzy dynamic model of the offshore structure subject to the external wave loading is presented, and fuzzy output feedback H∞ controllers with delayed and/or current output information are proposed.
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