The present work considers with the optimal placement of piezoelectric actuators on a thin plate via modified control matrix and singular value decomposition (MCSVD) approach using Modified Heuristic Genetic Algorithm (MHGA). Optimal placement of piezoelectric actuators is investigated to suppress the first six modes on cantilever plate. Vibration suppression has been studied for cantilever plate with piezoelectric patches in optimal positions using LQR (Linear Quadratic regulator) scheme. It is observed that developed present approach has given the greater closed loop damping ratio and lesser computational requirements.
KEYWORDS: Actuators, Genetic algorithms, Sensors, Control systems, Active vibration control, Matrices, Chemical elements, Vibration control, Ferroelectric materials, Feedback control
The present work considers the optimal placement of piezoelectric actuators on a thin plate using integer coded genetic algorithm. The fitness function reflects on the controllability index which is the singular values decomposition of a control matrix. The index measures the input energy required to achieve the desired structural control using piezoelectric actuators. The LQR (Linear Quadratic Regulator) optimal control scheme has been applied to study the control effectiveness. It is observed that the frequency responses of cantilever obtained from finite element code hold good in agreement with the experimental results. Numerical simulations revealed that optimal locations obtained by integer coded GA based on controllability index with LQR controller offers effective control as compared non-optimal locations.
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