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The performance of optical filters with resonant waveguide gratings is predicted numerically, assuming random fluctuations of various design variables. Specifically, we derive stochastic models based on polynomial-chaos expansions (PCEs), by employing a stochastic collocation (SC) approach that exploits the rigorous coupled-wave analysis (RCWA) deterministic solver. The statistical moments of the...
The challenging problem of stabilizing an inverted-pendulum on a cart system at the upright position via a nonlinear state feedback controller is analyzed. The proposed controller is designed in a manner that can guarantee local asymptotic stability for the up position equilibrium and instability for the down one. As shown in the paper by a stability analysis and verified numerically, a wide range...
The finite-difference time-domain method is herein combined with polynomial-chaos expansions for the study of axially-symmetric structures featuring material uncertainties. By exploiting the problem's periodicity, we reduce the high computational burden of fully 3D simulations, and reliably extract the necessary statistical information from a single simulation.
Convey-cranes suffer by undesirable swings when different payloads are carried and therefore a main task of a controller applied on these systems is to sufficiently suppress and eliminate the sway performance. To this end, an energy based nonlinear proportional-derivative (PD) controller for overhead cranes is proposed with its stability examined by using classical Lyapunov techniques and LaSalle's...
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