Shake table tests instantly submits structure models for seismic excitation and evaluates its overall performance. However, inconsistencies in the amplified seismic output will undoubtedly exist and the desired signals cannot be precisely achieved. The ability to accurately estimate and analyze system harmonics is necessary for building control filters that hinder harmonic levels in the signals. This paper initially focus on studying the key techniques such as time integration algorithms, filtering techniques and metaheuristic optimization methods to understand its applications, and their implementation in shake tables. Then, a novel hybrid algorithm that has the capability of regulating the weights of the unknown parameter of harmonic signal arising in the table is formulated. A simulation and experimental study is carried out and the developed algorithm is also compared to Artificial Bee Colony (ABC) algorithm, Particle Swarm Optimization (PSO) algorithm and Modified Ant Bee Colony-Recursive least squares (MABC-RLS) algorithm, and studied in terms of performance. Finally, future research and application challenges are discussed and underlined.