Improved memetic algorithm for nonlinear identification of a three-dimensional elliptical vibration cutting system

Abstract

This article focuses on the nonlinear Wiener system identification of three-dimensional elliptical vibration cutting. The developed three-dimensional elliptical vibration cutting device is actuated by four piezoelectric stacks, which have hysteresis nonlinear characteristics. Our research proposes an improved memetic algorithm in order to identify the nonlinear elliptical vibration cutting model. The improved memetic algorithm displays the advantages of both particle swarm optimization and genetic algorithm, while simultaneously overcoming these programs' shortcomings. Moreover, it can quickly and efficiently search for the global optimization. The improved memetic algorithm's identification performance may be compared with the conventional memetic algorithm, particle swarm optimization, and genetic algorithm using two wellknown test functions. Test results demonstrate that the improved memetic algorithm can search the global optimal solution more efficiently than available state-of-the-art algorithms. Based on the input-output data collected from experiments, the accuracy of the identification model can potentially reach 97.55%. This relatively small margin of error verifies the efficiency of the proposed improved memetic algorithm for system identification.

Swarm and evolutionary computing algorithms for system identification and filter design: A comprehensive review

“…In addition to the various system identification schemes discussed in this paper, several works have been reported in the recent past on the use of swarm and evolutionary computing algorithms in enhancing system identification efficiency of nonlinear systems and processes (Fleming and Purshouse, 2002;Chang, 2006b;Lee et al, 2006;dos Santos Coelho and Krohling, 2006;Panda et al, 2007;Ge et al, 2007;Chen et al, 2007;Katari et al, 2008;Subudhi and Jena, 2008;Majhi et al, 2009;Quaranta et al, 2010;Majhi and Panda, 2010;Guerra et al, 2010;Baghel et al, 2011;Majhi and Panda, 2011;Subudhi and Jena, 2011a,b;Chang, 2012;Gao et al, 2013a;Banerjee and Abu-Mahfouz, 2014;Talatahari et al, 2014;Lu et al, 2014;Bramerdorfer et al, 2014). Kar et al have proposed CRPSO for the purpose of FIR filter design in (Kar et al, 2012).…”

Hierarchical multi-innovation extended stochastic gradient algorithms for input nonlinear multivariable OEMA systems by the key-term separation principle

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Improved differential evolutionary algorithm for nonlinear identification of a novel vibration‐assisted swing cutting system

“…6 A number of links are nonlinear time-delay systems in VASC, Thus, the nonlinear model is used to describe this system. 6 A number of links are nonlinear time-delay systems in VASC, Thus, the nonlinear model is used to describe this system.…”

“…6 Wang et al 15 proposed a chaos genetic algorithm (GA) to identify the linear helicopter model. 6 Wang et al 15 proposed a chaos genetic algorithm (GA) to identify the linear helicopter model.…”