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The system includes subsystems (modes) resulting from environment changes and different orientations and ship speeds.
For nearly identical subsystems, modes of each type tend to occur in groups, which has significant implications for high-frequency vibration analysis methods such as Statistical Energy Analysis.
The Galerkin method with subsystem normal modes is used to estimate the modal damping loss factors.
An extruded panel is represented by a single global mode subsystem and three subsystems representing local modes of the various strips which occur for frequencies typically above 500 Hz.
In the current voltage subsystem, exponential sliding mode reaching laws of d-axis and q-axis current errors are applied to enhance convergence speed, control accuracy, and robustness.
For each subsystem, a sliding mode controller is designed, and interval type-2 fuzzy logic systems (FLSs) are adopted to approximate nonlinear parts including the uncertain changes induced by VGI.
Then, two sliding mode surfaces are designed for each subsystem using two sliding mode control techniques.
The equations of motion of the coupled train-bridge system are derived by representing the bridge subsystem through its vibration modes.
Yet, widening the range of application of SEA is done at a price with large models because the number of modes per subsystem can become considerable when the frequency increases.
The controllers use local subsystem states and neighboring mode information to generate local control inputs.
The considered fuzzy large-scale systems consist of several interconnected subsystems with different switching modes and each switching mode is described by T S fuzzy models.
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