Integrated design optimization of voltage channel distribution and control voltages fortracking the dynamic shapes of smart plates

Abstract

This paper investigates a control scheme for tracking the dynamic shapes of structures withlimited numbers of voltage channels. Integrated design optimization of voltage channeldistribution and control parameters for structural dynamic shape control is formulated asan optimization problem with discrete variables and continuous variables coexisting. Atwo-level optimization method based on a simulated annealing algorithm is proposed. Inthe first level, the optimum channel distribution is determined by optimizing the objectivefunction which is the optimal value obtained in the second level. The optimum controlparameters are obtained by using a sequential linear least-squares algorithm in the secondlevel. The effectiveness of the present design methodology and optimization scheme is thendemonstrated through numerical examples for tracking the dynamic shapes of compositeplates.