2013
DOI: 10.3844/jcssp.2013.183.197
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Optimal Control Algorithms for Second Order Systems

Abstract: Proportional Integral Derivative (PID) controllers are widely used in industrial processes for their simplicity and robustness. The main application problems are the tuning of PID parameters to obtain good settling time, rise time and overshoot. The challenge is to improve the timing parameters to achieve optimal control performances. Remarkable findings are obtained through the use of Artificial Intelligence techniques as Fuzzy Logic, Genetic Algorithms and Neural Networks. The combination of these theories c… Show more

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Cited by 34 publications
(20 citation statements)
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“…Crossover should increase the average quality of the population. By choosing adequate crossover and mutation operators as well as an appropriate reduction mechanism, the probability that the GA results in a near-optimal solution in a reasonable number of iterations increases (Spears, 1995;Pelusi and Mascella, 2013).…”
Section: The Training Process: the Use Of Genetic Algorithmsmentioning
confidence: 99%
“…Crossover should increase the average quality of the population. By choosing adequate crossover and mutation operators as well as an appropriate reduction mechanism, the probability that the GA results in a near-optimal solution in a reasonable number of iterations increases (Spears, 1995;Pelusi and Mascella, 2013).…”
Section: The Training Process: the Use Of Genetic Algorithmsmentioning
confidence: 99%
“…By the law (2), it follows that the acceleration of the agent i at time t and in direction d-th, a d i (t), is given by (7), where M ii is the inertial mass of the i-th agent.…”
Section: The Gravitational Search Algorithmmentioning
confidence: 99%
“…Among the intelligent evolutionary optimization methods, the Genetic Algorithms (GA) [4] are heuristic approaches well suited to solve complex computational problems [5][6][7][8][9]. Another evolutionary algorithm is the Particle Swarm Optimization (PSO), which depends on the simulation of social behavior [10].…”
Section: Introductionmentioning
confidence: 99%
“…This research proposes an equivalent fuzzy PID controller which has a simple PID structure design with a 3-dimensional fuzzy rule table, instead of the combination of different fuzzy PID structural elements or a hybrid controller structure [14]. Moreover, to achieve optimal control performance for a FLC, some artificial intelligent techniques such as Genetic Algorithm and Neural Network are efficient approaches [15,16]. This inspires us in the future to propose nonlinear factors for tuning the membership functions to develop an optimal fuzzy PID controller design with less parameters.…”
Section: Introductionmentioning
confidence: 99%
“…But based on this study, a fuzzy PID controller may outperform a conventional PID controller quickly by fine-tuning the MFs of the fuzzy variables. We have found that some learning-based techniques or evolutionary algorithms have been applied in the optimal FLC design [14][15][16]. Experienced researchers should agree on the importance of setting initial values or weights in the learning system, which will greatly influence the learning results and convergence speed.…”
mentioning
confidence: 99%