Aiming at the problem of optimizing the firepower configuration for warships cooperating with strategic locations on the sea, the influence of air defense elements on firepower configuration is analyzed comprehensively, and the constraints of firepower configuration are put forward. Combined with factors such as the forward distance of the warship, the depth of the defense, the angle of the combat sector, and the direction of the enemy’s attack, based on the coastal defense forces and the warship, the firepower configuration models of air defense at a strategic location on the sea for a single warship and two warships’ coordinated air defense at important places are established, respectively. The forward range of a single warship and two warships’ cooperative air defense at sea is determined, and the defense depth expectation calculation formula is given. And according to the configuration of air defense firepower of the warship cooperating with strategic locations on the sea, the warship cooperating with maritime key area defense effectiveness model is constructed by using the random service system theory. Finally, under the hypothetical conditions, the numerical simulation experiments show that the proposed model and calculation formula are reasonable and effective, which can provide a certain theoretical basis for the firepower configuration of warships cooperating with strategic locations on the sea.
Vibration control of two-degree-of-freedom (2DOF) exponentially damped oscillators is considered. Firstly, the equations of motion for 2DOF exponentially damped oscillators are established by using the nonviscous damping models that depend on the past history of motion. Secondly, the equations of motion for 2DOF exponentially damped oscillators are transformed into state equations with six dimensions by using a set of internal variables. Thirdly, Sliding control design is proposed. Furthermore, this control method can also be used in the multi-degree-of-freedom (MDOF) exponentially damped oscillators. Finally, numerical simulations are provided to illustrate the above control designs.
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